LARGE GLUED-LAMINATED TIMBER BEAMS WITH TWO GRADES OF TENSION LAMINATIONS U.S.D.A. FOREST SERVICE RESEARCH PAPER FPL 113 SEPTEMBER 1969 U.S. Department of Agriculture Forest Service Forest Products Laboratory Madison, Wis. SUMMARY Bending strength characteristics of large glued-laminated timber beams were appraised as a basis for more precise design. Current design criteria defining strength characteristics of gluedlaminated construction were developed from data on relatively small members, with essentially no data on large beams. Present extensive use of large beams emphasizes the importance of reevaluation of the design criteria for glued-laminated construction specifically as they relate to large members. A total of 26 beams, one-half of Douglas-fir and one-half of southern pine, were evaluated. Twenty beams were 5-1/4 inches wide, 24-3/8 inches deep, and 40 feet long. Six beams were 9 inches wide, 31-1/2 inches deep, and 50 feet long. The beams were manufactured according to the current AITC and lumber industry specifications for glued-laminated construction, using lumber grade combinations with a listed bending stress rating of 2600 p.s.i. Tension laminations on the 50-foot-long beams and on onehalf of the 40-foot-long beams were graded according to AITC 301 requirements. The remaining 40-foot-long beams had tension laminations selected according to additional requirements which further restricted size of knots and amount of grain deviation, Boards used for the “midlength” region of all tension laminations were carefully selected to represent near minimum quality for the grade. The beams were tested to failure in bending. Eleven of the beam failures were associated with end joints while 15 initiated in the wood. The data indicated that (1) the design stress for beams with minimum 301 grade tension laminations should be less than 2,600 p.s.i.; (2) beams with tension laminations selected according to the additional requirements could be safely designed for 2,600 p.s.i. stress, provided the amount of low-strength pith-associated wood in the critical tension laminations is limited and adequate end joints are used; and (3) the strength and quality of end joints need to be further evaluated. These data will aid in the development of more exacting design criteria for large glued-laminated members. LARGE GLUED-LAMINATED TIMBER BEAMS WITH TWO GRADES OF TENSION LAMINATIONS 1 By BILLY BOHANNAN, Engineer and R. C. MOODY, Engineer Forest Products Laboratory 2 Forest Service U.S. Department of Agriculture INTRODUCTION Glued-laminated timber is now one of the major structural building materials. Its size and shape are almost unlimited. Its reliability is verified by the good performance and long service life of large structural timber members. To insure continued reliability and competitive position for large glued-laminated members, the design criteria must engender confidence in the strength of glued-laminated construction, Conversely, the criteria should not produce beams that are greatly overdesigned, thereby resulting in a “waste of strength.” The glued-laminated wood industry in the United States has built on research started in the Forest Products Laboratory in the early 1930’s. Many of the design criteria defining strength characteristics of glued-laminated con1This research was conducted Construct ion (AITC). 2 3 Maintained at Madison, in Wis., in struction were developed in the 1940’s. This early research was conducted on relatively small members, up to 12 inches in depth, with essentially no large beams being evaluated. The large timber members now being manufactured, and the possibilities of even larger members, have caused both producers and consumers to realize the importance of re-evaluating the design criteria of glued-laminated construction. Since about 1960, research at the Laboratory, in cooperation with industry associations, has been directed toward more exacting data that would provide a more reliable basis for the design of large gluedlaminated timber members. Many data have been obtained from flexure tests of laminated beams 12 inches or less in 3 depth (6,10,12,18); however, similar data on large beams are limited. Only a few beams over 30 inches deep have been tested. The strengths of three structural grade Douglas-fir beams, cooperation with the American cooperation with the University Institute of of Timber Wisconsin. Underlined numbers in parentheses refer to Literature Cited on page 26 of this research paper. 31-1/2 inches deep, tested by the Laboratory in 1966 (8) were lower than were predicted by the then-current design criteria. Based on the observed failures and strength data from large beam tests, on prestressing of wood beams (6), and on tensile strength of structural lumber (11), L ab or at or y and industry representatives concluded that more importance should be placed on the grading of tension laminations for gluedlaminated timber members. A small part of Bohannan's research on prestressed wood beams (6) was directed toward evaluating the importance of the tension lamination, He found that addition of a clear straightgrained tension lamination had a pronounced effect on modulus of rupture of 10.5-inch-deep laminated beams made of L-3 grade lumber, The addition of one 1-1/2-inch-thick clear lamination representing 14 percent of the beam depth increased the modulus of rupture 32 percent, and one 9/16inch-thick clear lamination representing 5 percent of the beam depth increased the modulus of rupture 23 percent, These data indicate a potential for significant improvement in flexural strength of structural glued-laminated beams by giving special attention to a small portion of the beam-the outer few tension laminations. The American Institute of Timber Construction developed and published specifications for tension laminations in 1967 (3). These tension laminations, called the 301 grade, are required on all beams of a certain stress rating and size in order to meet AITC certification specifications. This 301 grade is not necessarily clear and straightgrained, but rather is a structural grade. The most significant improvement in the specifications for this tension lamination grade over specifications for other structural grades is limitation on localized grain deviation. This has not been previously considered in lumber grading. The study discussed herein provides data to appraise the strength of Douglas-fir and southern pine glued-laminated timber beams. Sixteen beams were manufactured according to current AITC and lumber association specifications for structural glued-laminated timber members and 10 beams were manufactured according to specifications developed by AITC and FPL representatives for this research study, BEAM DESIGN, MATERIALS, AND FABRICATION Description of Beams A total of 26 beams were evaluated. One-half of the beams were fabricated from Coast-type Douglas-fir lumber and the other half from southern pine. Twenty beams were 5-1/4 inches wide, 24-3/8 inches deep, and 40 feet long. These beams contained fifteen 1-5/8-inch-thick laminaions. Six beams were 9 inches wide, 31-1/2 inches deep, and 50 feet long and contained twenty-one 1-1/2-inch-thick laminations. Beams were manufactured using lumber grade combinations with a listed bending stress rating of 2,600 p.s.i. The Douglas-fir beams were Combination A as given in “Standard Specifications for Structural Glued Laminated Douglas-Fir (Coast Region) Timber” (17). The southern pine beams were Combination A-2 as given in 'Standard Specifications for Structural Glued Laminated Southern Pine Timber" (14). These beams are described in table 1. The only change here was that one tension lamination, meeting the near-minimum requirements as discussed in the following section, was substituted for one outer tension lamination for each beam, Tension Laminations All the 50-foot beams and one-half of the 40foot beams had tension laminations which were graded according to AITC 301-67 requirements (3). One tension lamination meeting the requirements summarized below is now required by AITC on beams 16-1/4 to 32-1/2 inches in depth 1. Growth rate requirements shall apply to the full length and pieces of exceptionally light weight shall be excluded. 2. Knots shall not occupy more than one-quarter of the cross section. 3. 2 The general slope of grain shall not exceed T a bl e 1 . - - D e s c r i p t i o n a n d g r a d e c o m b i n a t i o n s f o r t h e s o u t h e r n p i n e a n d D o u g l a s - f i r b e a m s : Combination and species : : : : : Number of : Allowable : Number and grade of Slope of grain : laminations : extreme : laminations : ----------------------: f i b e r :- - - - - - - - - - - - - - - - - - - - - - - - - - : Outer : Next : Balance : s t r e s s : O u t e r : I n t e r -: I n n e r : 10 : 10 : : mediate : zone : p e r c e n t : p e r c e n t : : zone : --------------: ------------ :--------- -- --------:------- : ------- :-------:-------:------: : P.s.i. : : : : : : : A- 2 : Sou t h e r n p i n e : 14 to 21 A D o u g l a s- f i r A Douglas - f i r : : : zone : 2,600 : : : : : 1:12 : 1:8 : : : : : 2,600 : 2 L-1 : 2 L-2 : L-3 : 1:14 : 1:12 : 1:8 : 21 or more : 2,600 : 3 L-1 : 2 L-2 : L-3 : 1:12 : 1:8 : : : : 2 No. 2D : No. 2 : No. 2 : 1:14 9 to 20 1 in 16 except where more restrictive slope of grain is required by the standard laminating specification. : : : 1:14 with a slope of grain 1 in 16 or flatter between them and the edge of the piece,) 4. Areas of local grain deviation steeper than 1 in 16 individually or in cornbination with knots shall not occupy more than one-eighth of the cross section if located closer than 1/2 inch from the edge of the piece, 4. Areas of local grain deviation steeper than 1 in 16 shall not occupy more than one-third of the cross section. 5. Knots shall not occur within two knot diameters of the finger joints, 5. Strength-reducing characteristics of maximum size must be at least 4 feet apart, The remaining one-half of the 40-foot beams had tension laminations graded according to the following requirements developed for these test beams by AITC and FPL representatives and hereafter referred to as “301+”: 6. A 1-foot length of a lamination shall be considered as a cross section. 1. Growth rate requirements shall apply to the full length and pieces of exceptionally light weight shall be excluded. 7. The general slope of grain shall not exceed 1 in 16 except where more restrictive slope of grain is required by the standard laminating specification. 2. Knots shall not occupy more than one-fifth of the cross section. 8. Knots shall not occur within two knot diameters of the finger joints, 3. Two-thirds of the cross section of the laminations must be free of strength-reducing characteristics and must have 1 in 16 or flatter slope of grain. (Knots plus associated localized grain deviation, or knots plus associated localized grain deviation plus localized grain deviation not associated with knot, or localized grain deviation not associated with a knot may occupy up to one-third of the cross section, provided these characteristics are not on the edge of the piece and there is at least 1/2 inch of clear wood The tension laminations were generally made up of three boards, a midlength board and two end boards finger-jointed to it. The midlength board of the tension lamination was selected by both industry and Laboratory personnel to have at least one near-maximum allowable strengthreducing characteristic permitted by the above specifications, Tension laminations in the zone of maximum bending moment were therefore near minimum quality permitted by the grade. Laminations were chosen in which knots were at 3 various locations across the width of the board and, generally, the worst face of the boards was used as the outer face of the beam Laminations were not selected to have minimum specific gravity; rather the midlength tension laminations were selected to have specific gravities representative of the species but exceptionally heavy or exceptionally lightweight boards were not used. The volumetric size of knots and grain deviation was used in grading the tension laminations. Selection of Material Efforts were made to use lumber representative of that for each species. To obtain some randomization of the lumber, the Douglas-fir for the 40-foot-long beams was obtained from production lumber over a 5-consecutive-day period in which the lumber of the correct size was being processed through a commercial lamination plant. For the 50-foot beams, the lumber was obtained on 2 consecutive days. An approximately equal amount of lumber was obtained on each of the days, The southern pine lumber for the 40-foot-long beams was obtained from five different lumber shipments received at a commercial laminating plant. Four suppliers were represented. For the 50-foot beams, the lumber was obtained from two shipments. Again, an approximately equal amount was obtained from each shipment. The reason for the different methods of obtaining the material was due to the procedures used at the two commercial laminating plants where the beams were fabricated. One plant buys green lumber and processes it through their own dry kilns. The other plant purchases kiln-dried lumber. A supply of lumber equal to about 2-1/2 times the amount necessary to make the beams was accumulated. As the lumber of each species was obtained, each board was numbered consecutively. Generally, odd-numbered pieces were used in the beams, which further randomized the selection of material. Nondestructive Evaluation of Lumber All boards were evaluated by representatives 4 Equipment described in product information of of lumber associations, the laminating industry, and the Laboratory. The nondestructive evaluations included rechecking visual grades, determining weight, moisture content, and modulus of elasticity of each board, and measuring size and location of knots in the middle one-half length of each lamination, The lumber was grade-marked when it was obtained. After all lumber was accumulated, it was checked by an inspector from the appropriate grading association to assure that it was of the proper grades. Moisture content was measured with a power-loss type meter at three locations along board length. The modulus of elasticity of all boards for each species was determined using a vibration technique. 4 After the boards were end-jointed into fulllength laminations, the size and location of all knots and other major strength-reducing characteristics in the middle one-half of the length of the laminations were recorded. For all except the tension laminations, for which the selection procedure was described earlier, only the knots on the face of the lamination away from the neutral axis of the completed beam were measured. The size of each knot was measured perpendicular to the edge of the board. An estimate was made of the effective size of spike knots, The width of the knots and of areas of grain deviation steeper than 1 in 16 was measured on both faces of the tension laminations, Except for the visual grading, none of the nondestructive evaluations had any bearing on the assembly of the beams. The nondestructive evaluations were made to get basic information that might be useful in subsequent analysis. Manufacture of Beams The Douglas-fir and southern pine beams were manufactured in the summer of 1968 at two commercial laminating plants, each of which specialized in one of these species. All beams were manufactured to conform to U.S. Commercial Standard CS-253-63 for “Structural Glued Laminated Lumber” (15). The tension laminations were specially selected as previously discussed, but all other laminations were randomly positioned within the beams in accordance with the required grade combination. Irvington, 4 Portland, Oreg. Commercial production finger-type end joints meeting the requirements of the AITC qualification tests (1) were used. The end joints in the tension laminations were at least 5.4 feet from the midlength of the 40-foot-long beams and 6.5 feet from midlength of the 50-foot-beams. As will be noted later, they were at least 1.4 feet outside of the area under maximum bending moment during test. The primary objective of the tests was to evaluate the effect of grade of the tension lamination on the strength of the beams. For this reason, the end joints were purposely placed where they would not be in the most highly stressed areas of the beams when tested. Beams were manufactured with a phenolresorcinol adhesive, After gluing, the beams were surfaced to either a 5-1/4- or 9-inch width and cut to the proper length. They were shipped in accordance with commercial practice to Madison, Wis., where they were stored indoors prior to testing, The beams were numbered as follows: Beam description Tension lamination grade Beam No. 40- foot DougIas-fir 301 1 to 40- foot Douglas-fir 301+ 6 to 10 40- foot southern pine 301 11 to 15 40-foot southern pine 301+ 16 to 20 50- foot DougIas-fir 301 21 to 23 50-foot southern pine 301 24 to 26 Sixty-foot-long steel beams were used to extend the 10-foot base of the million-pound-capacity testing machine at the Forest Products Laboratory. By extending the base of the test machine with steel beams, the load imposed on the wood beams could be measured directly on the weighing platform of the test machine. This test method differed slightly from that generally used in testing structural members--since the supports were somewhat elastic, The 60-foot steel beam supports were cantilevered from the 10-foot-long base of the test machine and deflected slightly during beam test. Thus, the loading somewhat resembled a dead-load test because the load was maintained approximately constant as maximum load was attained, Once failure in a wood beam was initiated, the energy in the deflected steel beams acted to cause complete failure without load drop-off as the first failure occurred, Each wood beam was laterally supported 40 inches each side of midlength, as shown in figure 3. Each lateral support consisted of 3inch-diameter steel pipes anchored to the columns of the test machine and two wood blocks. One wood block moved with the test beam as it deflected and the other block was fastened to the steel pipes. Polyethylene film was used between the two wood blocks to reduce the frictional force as the beam deflected, At 19 feet each side of midlength, or directly over the supports of the 40-foot-long beams and 5 feet inside the supports of the 50-foot-long beams, the top of each beam was braced to prevent lateral movement, The bracing at one end of a 40-foot beam is shown-to the far right in figure 2. Beams were loaded with two symmetrically placed concentrated loads. A preload was applied to the beams to assure all loading and support points and gages were properly alined and fully contacted. The loading and testing conditions were: 5 40-foot beams 50-foot beams 2,000 4,000 38 48 Distance between load points (ft.) 8 10 Rates of loading (in. per min.) 1.0 Conditions RESEARCH METHODS Preload (Ib.) Load span ( f t . ) Equipment The test method conformed to requirements of ASTM D 198 (5). The method of loading is shown schematically in figure 1, with a general overall view of a 40-foot beam during test in figure 2. Loading was continuous to failure. 5 1 .25 Figure 1.--Loading diagram for testing 40- and 50-foot-long glued laminated wood beams. For the 40-foot beams, L and a were 38 and 8 feet, respectively, and for the 50-foot beams, 48 and 10 feet, respectively. M 136 732 The 10-foot-long base of the m i l l i o n Figure 2.--General view of beam during test. pound capacity testing machine was extended with two 60-foot-long steel beams. A steel loading beam was used to apply loads 4 feet each side of the midlength of the 40-foot-long beams and 5 feet each side of midlength of the 50-foot-long beams. M 135 616 FPL 113 6 Figure 4.--Yoke deflectometer mounted at midlength and supported on a 7-foot span used to measure deflection within the constant moment section of each gluedlaminated wood beam. Dial gage was read to the nearest 0.001 inch using a telescope and mirror. Def lect omet er was removed from beam at about 50 percent of maximum expected load. The wood block at the right was used to laterally support the specimen and moved with the beam during test. Figure 3.--Lateral supports located 40 inches each side of midlength of beams. The 3inch diameter pipes were anchored to columns of test machine. The wood block touching the beam moved with the beam and polyethylene film was used between wood blocks to reduce frictional force as beam deflected during test. M 136 522 scribed in ASTM D 198 (5). Readings were taken, to failure, at 2,000-pound increments of load on the 40-foot beams and 4,000 pound increments on the 50-foot beams. Lateral loads which developed during loading were determined from the strain gages mounted on four 3-inch pipes. Conversions of strain readings to loads were made using actual calibration data for the 3-inch pipe and strain gage combinations. Failure details in each beam were sketched, and each failed beam was photographed, When failure was attributable to a specific area of the beam, this area was cut from the beam for further inspection. Data Obtained The dimensions, weight, and moisture content of the beams were determined prior to test, Moisture content was determined by averaging readings of a power-loss moisture meter, taken at random positions of the beams, at every 5foot interval along the length. Data taken during tests included maximum load, centerline deflections between supports, centerline deflections of the beam over a 7-foot span between load points, and strains on the four lateral support pipes at the compression face of the beams, Deflections between load points were measured on one side of the beam with a yoke deflectometer (fig. 4) as described in ASTM D 198 (5). Deflection data were taken at 2,000pound increments of load up to 18,000 pounds total load for the 40-foot-beams and at 4,000pound increments up to 36,000 pounds total load for the 50-foot beams, At these loads, the yoke was removed. Centerline deflections between supports were measured using a wire deflectometer, as de- Minor Tests Immediately after failure of each beam, a section about 1 foot long was cut from within the center 8 feet of each beam, Clear wood specimens, about 4 by 4 by 1-1/2 inches, were then cut from each lamination to determine their specific gravity and moisture content. Specific gravity was based on volume at time of test and ovendry weight. Moisture content was calculated from the weight loss during ovendrying and the ovendry weight. 7 PRESENTATION A N D ANALYSIS OF DATA The specific gravity of each beam is given in columns 6 and 7 of tables 2, 3, and 4. The average specific gravity of all beams was approximately 0.48 for the Douglas-fir and approximately 0.49 for the southern pine. This is the approximate average clear wood specific gravity for Coasttype Douglas-fir and slightly less than the average clear wood specific gravity of southern pine (table 12 of Wood Handbook(16 )). Specific gravity and moisture content data for each lamination located near midlength of the beams are given in Appendix I. The location and comments on failures are given in column 15, tables 2, 3, and 4. These will be discussed in detail in a following section of this paper. Flexural Strength Data Data obtained from the flexure tests of the 26 glued-laminated timber beams are given in tables 2, 3, and 4. Data as determined from test results are given in columns 8 through 11. Results of moisture content determinations made both prior and immediately following test show that the Douglas-fir beams had about 7 to 8 percent moisture content when tested, while the southern pine beams had a moisture content near 13 percent. These moisture contents are given in columns 4 and 5. The modulus of rupture and modulus of elasticity data in columns 8, 9, and 10 were adjusted to a 12 percent moisture content using the following formulas: MOR MOE where 12 = MOR (1.020) M 12 = MOE (1.015) M MOR MOR 12 M M-12 M-12 Tension Laminations Results of the nondestructive evaluation of the tension laminations are given in table 5. Size and location of major strength-reducing characteristics are given in tables 6, 7, and 8. In the tables, any knot whose associated grain deviation occurred at the edge of the board is classified as an edge knot. Examples of boards used for the midlength of the tension laminations for both Douglas-fir and southern pine beams are shown in Appendix II. The boards positioned at the midlength of the tension laminations were selected to contain a strength-reducing characteristic of near maximum size as permitted in either the 301 or 301+ grades. As the boards were selected from a given supply of lumber, it was not always possible to obtain a strength-reducing characteristic of maximum size in all pieces, but most all boards selected for the 40-foot-long beams would represent a lower line 301 or 301+ grade, It was more difficult to select 2- by 10-inch boards for the tension laminations of the 50foot-long beams that contained near-maximum strength-reducing characteristics. The maximum permitted knots are less frequent in this size material, and they were not attainable in the given supply of lumber. AS a result, the tension laminations for the 50-foot Douglas-fir beams Nos. 21 and 23 and southern pine beam No, 26 would be a minimum 301+ grade rather than 301 grade as intended. (1) (2) = Modulus of rupture adjusted to 12 percent moisture content = Modulus of rupture from test M = Moisture content at test (col. 4, tables 2, 3, and 4) MOE MOE 12 M = Modulus of elasticity adjusted to 12 percent moisture content = Modulus of elasticity from test These percentage changes are approximately equal to the seasoning effects for sawn structural lumber given in ASTM D 245-68 T (4) and as found by Gerhards (13). The data adjusted to 12 percent moisture content are given in colums 12, 13, and 14 of tables 2, 3, and 4, FPL 113 8 Table 2.--Results of bending tests on 40-foot laminated beams with 301 tension laminations Table 3.--Results of bending tests of 50-foot laminated beams with 301 tension laminations Table 4.- - Results of bending tests on 40-foot laminated beams with 301+ tension laminations Table of 5. - -Specific gravity tension and modulus laminations of elasticity of selected boards used for center portion T a b l e 6 .--D e s c r i p t i o n o f m a j o r s t r e n g t h-r e d u c i n g c h a r a c t e r i s t i c s i n c e n t e r 1 0 f e e t o f 301 t e n s i o n l a m i n a t i o n s f o r 4 0-f o o t b e a m s FPL 113 14 Table 8 .--D e s c r i p t i o n o f m a j o r s t r e n g t h-r e d u c i n g c h a r a c t e r i s t i c s i n c e n t e r 1 0 f e e t o f 301+ t e n s i o n l a m i n a t i o n s f o r 4 0-f o o t b e a m s As shown in tables 6, 7, and 8, the average percentages of knots and of clear straight-grained sections of wood show that an approximate equivalent grade of boards, as determined visually, was used for the tension lamination for both species. three types: (1) splintering tension failure of tension lamination not necessarily associated with any major strength-reducing characteristic; (2) failure of first or second tension lamination at a major strength-reducing characteristic; or (3) failure of end joints in first or second tension laminations. Failure of beam 9 (fig. 5) was apparently a combined bending and shearing failure initiated at steep localized grain deviation associated with spike knots in the fifth and sixth laminations on the tension side. Three of the failures were of the above type 1, 11 of type 2, and 11 of type 3. Strength-reducing characteristics in the second laminations could have been partial cause for the failure of seven beams. Failure in the second lamination of beam 21 was observed at about 80 percent of ultimate load. Brief comments on failures are given in column 15 of tables 2, 3, and 4. Examples of failures at major strength-reducing characteristics are shown in figures 6, 7, and 8 and at end joints are shown in figures 9, 10, and 11. Locations of failures in the beams are shown in Appendix 11, along with modulus of elasticity and specific gravity information on the boards in the midlength region of the outer three or four tension laminations. Beam No, 5 (fig. 7) failed due to cross grain in the tension lamination. The general slope of grain throughout the selected tension lamination was 1 in 16, which just met the grading specifica- Description of Failures Failures were generally sudden and complete, with cracks propagating throughout the midsection of the beams. This type of failure was probably due in part to the test method used but would be typical of that resulting from service-applied loads. Each cantilevered end of the 60-foot steel beam supports deflected during beam test, and thus represented a source of energy which is believed to have acted to completely fail the wood beams once failure was initiated, With the sudden failure, it was not always possible to exactly determine the principal cause of failure. The following comments represent the best estimate of causes of failures, based on close observations during tests and evaluation of failed sections after tests: A slight amount of compression failure was noted under load points after testing of a few beams, but generally the compression laminations were free of visible damage. Except for one beam, the beam failures were on the tension side of the beam and could be classified as one of Figure 5.--Failure of beam 9 was attributed to spike knots in laminations 5 and 6 about There was no 1 foot apart .Beam then split to end of beam in a shear-type failure. damage to either the first or second tension lamination throughout the length of the beam. M 136 524 FPL 113 16 Figure 6.--Strength-reducing characteristics in the midlength section and on the exposed face of tension laminations at which failure initiated in beams 4, 7, 13, and 15. The knot in tension lamination of beam 4 is maximum-sized 301 knot, while edge knot in tension lamination of beam 7 represents maximum size 301+ edge knot plus grain deviation. Failures of beams 13 and 15 were initiated at edge knots and their associated grain deviation in the tension lamination and then propagated to end joints where remaining width of tension lamination failed. M 136 516 were also graded as 301 or 301+ tension laminations, Beam No. 16 (fig. 8) failed in one of the end boards at a small 5/8-inch-diameter knot that had associated grain deviation with a 1 in 1 slope through the thickness of the board, This grain deviation, which was not detected in the grading, occupied 50 percent of the board cross section. On this basis, the board did not meet the tension lamination grading specification. Failures initiated at end joints in six southern pine beams and in five Douglas-fir beams, All of the southern pine and two of the Douglas-fir endjoint associated failures occurred in the tension lamination, Three end- joint-associated failures in Douglas-fir beams occurred near midlength in the secondlamination. All of the five end-jointassociated failures in the 40-foot southern pine beams were in boards containing pith or pithassociated wood. No pith-associated wood was detected in the outer laminations of the Douglasfir beams. A question is sometimes raised about the relative effect of edge knots as compared to centerline knots. The data in this study are not adequate to answer this question, but three south- Figure 7.--Bottom of failure section from beam 5 showing general 1 : 16 slope of grain in tension lamination. Failure initiated in grain deviation associated with edge knot. Slope of grain was 1:10-1:13 across full section of tension lamination at the edge knot. Due to this grain deviation, the board was misgraded and should not have been included in the 301 grade. M 135 725 tions. The beam failed at a section where the localized grain deviation had a slope of 1 in 10 to 1 in 13 across the full section, which was not detected during grading. Based on this cross grain, the board did not meet the tension lamination grade. Tension laminations were generally made up of three boards, the selected midlength board and two end boards finger-jointed to it. The end boards 17 Figure 8.--Failures of beam 16 at small knot and associated grain deviation thickness of the tension lamination; 1:1 grain deviation through thickness occupied about 50 percent of cross section, although the knot was only 5/8 on bottom face and did not appear on top face. Inspection of this area indicated that the board would not meet 301+ grade. through the of board inch wide after failure M 136 513 Figure 9.--Failure of Douglas-fir beam 2 with a 301 grade tension lamination resulted from end joint failure in second lamination. Shown are: A, the side view of failed beam; B, the top view of second lamination after it was cut from the failed beam; and C, face view of the tension lamination. Failure of this type also occurred in two M 136 515 other Douglas-fir beams, Nos. 3 and 10. FPL 113 18 Figure 10.--Southern pine beam 12 showing failure of tension lamination at end joint. On the face of the tension lamination, failure is across the tips of the fingers for most of the width. Other southern pine beams failing in a similar manner were beams M 136 514 11, 17, 19, and 20. Figure It.--Tension laminations of 50-foot-long beams 22 (top) and 26 (bottom) showing failure of end joints. Joints on both beams failed prior to maximum load and, at maximum load, failure progressed to other parts of beams. Upon inspection of the joint in beam 22 prior to test, four of the fingers appeared open. Three of these fingers were in the failure region. M 136 517 19 used. The following relationship, ern pine beams failed at edge knots when the tension lamination contained larger centerline knots. This could indicate the edge knots have a more detrimental effect but further research is needed to better define their relative effect. As the beams were loaded beyond approximately one-half of ultimate load, the Douglas-fir beams emitted sounds at various intervals of load until failure. The southern pine beams did not emit as many sounds, and a few of them were practically noiseless until failure. It was not apparent that the sounds become more frequent as the ultimate load was approached, F = 0.81 2 h + 88 where F = depth effect factor h = depth in inches and as given in the Timber Construction Manual (2), was used to adjust for depth. The calculated value of design stress for each beam based on these factors is given in columns 3 and 6 of table 9. The stress for five of these beams is less than 2,600 p.s.i. The tension laminations of two of these beams, Nos. 5 and 16, did not meet grade requirements. Failure of beam No. 14 was due to an edge knot in the tension laminations and cross grain in the second lamination. Beam No. 17 failed at an end joint in a tension lamination containing pith-associated wood. Beam No. 4 failed at a centerline knot which was the maximum permitted in the 301 grading specifications. Comparison of data to proposed design criteria,--The calculated stresses for the 26 beams shown in columns 3 and 7 of table 10 represent another analysis of the data. The stresses were calculated by reducing the actual test modulus of rupture for duration of load, factor of safety, and size effect. The duration of load adjustment used was 9/16 times 11/10 and the factor of safety adjustment was 1.3. The size adjustment was made to correct from test conditions to a 12-inch-deep uniformly loaded beam having a length 21 times the beam depth. This size-effect adjustment, which is different than the depth-effect adjustment previously considered, was based on work by Bohannan (7, 9). The size adjustment for the 40-footlong beams was 0.919 and for the 50-foot-long beams was 0.895. The minimum calculated design stresses shown in table 10 are as follows: Discussion of Bending Strength Data The procedures to be used for assigning design stresses to glued-laminated beams are now being considered by an ASTM committee. Size effect is one factor under consideration. The followingtwo sections in this paper present analyses of the data from the 26 glued-laminated beams based on current practices using a depth-effect factor given in the Timber Construction Manual (2) and based on a size-effect relationship developed by Bohannan (7,9). These analyses are based on the modulus of rupture values of the test beams, which are the maximum bending moment on each beam divided by the beam section modulus. No consideration was given to the locations or exact modes of failure. As is given in column 15 of tables 2, 3, and 4, the locations of failures that initiated at end joints were out of the most highly stressed region of beams. Comparison of data to current design criteria.-The beams were manufactured using a lumber grade combination with a listed bending stress rating of 2,600 p.s.i. Therefore, test data were compared to this value, which is the design stress for a 12-inch-deep beam used under normal loading conditions. For comparison with the 2,600 p.s.i. value, test data were adjusted to the same loading conditions and size. Adjustments were made in the test data for duration of load, factor of safety, and for the difference in depth of members. The duration of load adjustment was 9/16 times 11/10 to adjust from short-time loading test conditions to normal loading conditions. A factor of safety of 1.3 was FPL 113 2 h + 143 Species 20 Grade of tension lamination Cause of faiIure DougIas-fir 301 301+ 301 301+ Wood Wood End joint End joint Southern pine 301 301+ 301 301+ Wood Wood End joint End joint CaIculated design stress (P.s.i.) 2,140 3,050 2,590 2,700 2,050 3,810 2,490 2,220 Table 9.--Test data adjusted to design stresses for 12-inch deep beams, for normal conditions of loading and with a 1.3 factor of safety binations used for each species. For these reasons, a separate discussion for each species is given. Douglas-fir.--The grade combination used for the Douglas-fir beams required an upgraded tension lamination and an L-1 grade second lamination. Strength-reducing characteristics of the wood in the second lamination were not found to be a contributing cause of failure of any of the lower strength Douglas-fir beams. Considering only the Douglas-fir strength values given in table 10 where wood strength con- Southern pine beam No. 16 was not considered in this analysis because the tension lamination was below both 301 and 301+ grades. 301 Versus 301+ Tension Laminations It is difficult to accurately compare the 301 and 301+ tension lamination grades because of the limited number of tests, the different modes of failures, and the differences in the grade com- 21 Table 10.--Test data adjusted t o design s t r e s s e s for 12-inch deep uniformly loaded beams having a 21 to 1 span depth r a t i o , for normal conditions of loading and with a 1.3 f a c t o r of s a f e t y The minimum calculated stress for Douglas-fir beams in which failure was controlled by end joints was 2,590 p.s.i. Southern pine.--The grade combination for the southern pine beams required an upgraded tension lamination and a No. 2 Dense grade second lamination, Several of the lower strength southern pine beams failed at a location where the strengthreducing characteristics of the wood in the second lamination may have contributed to the failure. trolled the failures, the calculated design stress for beams with 301 tension laminations should be less than 2,600 p.s.i. Beam No. 4 failed at a maximum knot permitted by 301 grade specifications and the design stress calculated from test data is 2,140 p.s.i. The minimum calculated stress of beams having 301+ tension laminations is 3,050 p.s.i., which indicates that beams with 301+ tension laminations could probably be safely designed for a 2,600 p.s.i. stress. FPL 113 22 The lowest calculated design stress in table 10 for a southern pine beam where failure was controlled by wood strength was 2,050 p.s.i. This was for beam No. 14 which failed at a location where there was an edge knot in the tension lamination and grain deviation in the second lamination. It is impossible to estimate the relative effect of each lamination on the beam strength; but since 4 of the 13 southern pine beams failed at a location where the strength of the second lamination may have contributed to the cause of failure, it is believed that the grade requirements of the second lamination of the A-2 combination used in this study should be studied further. Since the strength of only one southern pine beam with 301+ tension lamination was controlled by wood strength, it is impossible to accurately appraise the effect of the 301+ grade tension lamination. However, the data indicate that beams Table with 301+ tension laminations could be designed for 2,600 p.s.i. bending stress, Six of the southern pine beams failed at end joints, Of these six, five failures occurred at end joints in boards containing pith or pithassociated nondense wood. It is believed that such wood contributed to the failures and thus should be limited in boards used as tension laminations. The other failure was in a board containing compression wood. I /I Ratios K G The ratios of moment of inertia of knots to the total moment of inertia of beams (I /I ) are K G given in table 11. These were calculated by the method used by Wilson and Cottingham (18 ). Knots within a 1-foot length were considered at the same 1 1 .- -S u m m a r y o f m a x i m u m IK /I G v a l u e s f o r l a m i n a t e d b e a m s 23 2- by 6-inch southern pine section. Values were calculated for each 0.2 foot increment of length across the mid half-length of each beam. According to knot surveys which form the basis for present laminating standards, the maximum I /I value expected in the 40-foot-long beams K G would be 0.19 and for the 50-foot-long beams would be 0.17. None of the 50-foot beams exceeded of 0.17, with the maximum value being an I /I K G 0.160. All the 40-foot Douglas-fir beams had maximum I /I values less than 0.19; however, K G three of the 40-foot southern pine beams had at least one section where I /I exceeded 0.19. K G Beams 14 and 18 each had one section which exceeded 0.19, and beam 15 had two sections which exceeded 0.19, Beam 18 had the highest I /I value, 0.249, which is considerably above K G the maximum predicted value of 0.19. No. 1D No. 2D Nos. 2 and 2D mixed 2- by L-1 L-2 L-3 FPL 113 p.s.i. 10-inch Douglas-fir 2.3 x 106 1.9 x 106 1.6 x 106 p.s.i. p.s.i. p.s.i. where E = calculated modulus of elasticity of a beam for a given grade combination E = modulus of elasticity of the ith 1 lamination I. = moment of inertia of the i th lamina1 tion I = gross moment of inertia of a beam The average modulus of elasticity of the tension laminations was assumed to be equal to that given for the L-1 or No. 1D grades. A comparison of the modulus of elasticity calculated from average modulus of elasticity values for grades of lumber used and the values determined from beam tests are shown in table 12. The range of test values are within 10 percent of the average values. Values given in table 12 are for moisture content conditions at time of tests because the calculated values are based on the vibration modulus of elasticity determined 6-inch DougIas-fir 2.4 x 106 2.0 x 106 1.7 x 106 1.6 x 106 These values were determined by a vibration technique a t average moisture contents of approximately 7 to 8 percent for the Douglas-fir and 13 percent for the southern pine, Using these average values, the moduli of elasticity of the two different sizes and species of beams were calculated using the transformed section formula The modulus of elasticity values for each beam are given in tables 2, 3, and 4. The differences in the two values given in columns 9 and 10 for each beam are due primarily to deflections caused by shear stresses, The full-span modulus of elasticity includes shear effects, while that determined within the constant moment section is theoretically free of shear effects. The shear deflections theoretically represent an effect of about 4 percent on the modulus of elasticity of beams loaded by methods used in this study. As previously found in tests of large structural beams (8), the load versus deflection data remained linear to failure. The distribution of modulus of elasticity values in the lumber used in the fabrication of beams in this study is shown in Appendix III. The approximate average modulus of elasticity values for the respective grades, sizes, and species of lumber were L-1 L-2 L-3 p.s.i. p.s.i. 2- by 10-inch southern pine 1.9 x 106 p.s.i. No. 1D No. 2D 1.5 x 10 6 p.s.i. Nos. 2 and 2D mixed 1.5 x 106 p.s.i. Modulus of Elasticity 2- by 2.0 x 106 1.9 x 10 6 p.s.i. p.s.i. p.s.i. 24 Table maximum bending load, Rather, the maximum lateral load generally occurred at or shortly after 50 percent of the maximum bending load was attained. There was no observed reason why some loads were higher than others. 12.--Comparison of calculated and average modulus of elasticity values determined from beam tests Table 13.--Sumary of maximum lateral loads which developed near midlength during bending tests on the lumber supply at the moisture content condition just prior to beam manufacture. Lateral Loads The lateral loads that developed during beam tests were determined by strain gages on the lateral pipe supports. The measuring apparatus was designed to give only the approximate magnitude of lateral loads. Maximum lateral loads given in table 13 did not generally coincide with tension laminations and adequate end joints are used. CONCLUSIONS Conclusions are based on bending strength data from five 40- and three 50-foot-long beams of both Douglas-fir and southern pine having 301 tension laminations and five 40-foot-long beams of each species having 301+ tension laminations: 3. The strength and quality of finger joints need to be evaluated further, 1. The design stress for beams having a 301 grade tension lamination should be less than 2,600 p.s.i. 5. The A-2 grade combination for southern pine glued laminated timbers should be restudied. 4. The amount of pith-associated wood allowed in tension laminations should be limited. 6. The modulus of elasticity for the test beams was approximately the same as a modulus of elasticity calculated using the weighted average modulus of elasticity values of the lumber supply from which the beams were manufactured. 2. Data indicate that beams with 301+ grade tension laminations could be safely designed for 2,600 p.s.i. bending stress provided the amount of pith-associated wood is limited in critical 25 LITERATURE CITED 1. American 1963. 10. Institute of Timber Construction. Inspection Manual. AITC-200-63. 11. 2. 1966. Timber Construction Manual. John Wiley & Sons, Inc. 1967. Tension laminations in structural glued-laminated timber members in bending. AITC 301-67. Society for Testing and Materials. Establishing structural grades for visually graded lumber. ASTM D24.5-68 T 3. 4. American 1968. 12. 13. 5. 1968. 6. Static tests of timbers in structural sizes. ASTM D 198-67. Bohannan, Billy. 1964. Prestressed laminated wood beams. U.S. Forest Serv. Res. Pap, FPL 8. Forest Prod. Lab., Madison, Wis. 14. 15. 7. 1966. Effect of size on bending strength of wood members. U.S. Forest Serv. Res. Pap, FPL 56. Forest Prod. Lab., Madison, Wis. 16. 17. 8. 1966. Flexural behavior of large gluedlaminated beams. U.S. Forest Serv. Res. Pap. FPL 72. Forest Prod, Lab., Madison, Wis. 1968. Structural engineering research in wood. J. Struct. Div., Proc. Amer. Soc. Civil Eng. 94(ST2): 403-416, Feb. 18. 9. through I-5. Dimensions of each section were approximately 4 by 4 inches by 1/2 inch. Laminations were numbered from the tension face; No. 1 is the tension lamination, The specific gravity was determined from volume at time of test and ovendry weight. APPENDIX I The specific gravity and moisture content of small clear sections from each lamination near midlength of each beam are given in tables I-1 FPL 113 Curry, W. T. 1961. Working stresses for structural laminated timber. Forest Prod. Res. Spec. Rep. No. 15. Dep. Scien. Indus. Res., London. Doyle, D. V., and Markwardt, L. J. 1967. Tension parallel-to-grain properties of southern pine dimension lumber. U.S. Forest Serv. Res. Pap. FPL 84. Forest Prod. Lab., Madison, Wis. Freas, A. D., and Selbo, M. L. 1954. Fabrication and design of gluedlaminated wood structural members, U.S. Dept. Agr. Tech. Bull. 1069. Gerhards, C. C. 1968. Seasoning factors for modulus of elasticity and modulus of rupture. Forest Prod. J. XVIII(11): 27-35. Southern Pine Inspection Bureau. 1965. Standard specifications for structural glued laminated southern pine timber. New Orleans. U.S. Department of Commerce. 1963. Structural glued laminated timber. U.S. Com. Stand. CS 253-63. U.S. Forest Products Laboratory 1955. Wood Handbook. U.S. Dep. of Agr., Forest Serv., Agr. Handb. 72. West Coast Lumberman’s Association, 1962. Standard specifications for structural glued laminated Douglasfir (Coast Region) timber, Rev. 1963. Portland, Oreg. Wilson, T.R.C., and Cottingham, W. S. 1952. Tests of glued-laminated wood beams and columns and development of principles of design. Forest Prod. Lab. Rep. R1687. 26 T a b l e I- 1 . - - S p ecif ic gravit y an d m oist u re content of each lamination of 40 - foot D ouglas - f i r b eam s m ad e wit h 301 t en sion laminations 1 X T a b l e I- 2 .- - S p e c i f i c g r a v i t y a n d m o i s t u r e c o n t e n t of each lamination of 40 - foot southern pine b eam s m ad e wit h 301 t en sion laminations 1 27 Table I- 3 .- - S p e c ific g r a v ity a n d mo isture content of each lamination of 50 - foot beams made with 301 tension laminations 1 T a b l e 1- 4. - -S p ecif ic gravit y an d m oist u re content of each lamination of 40 -foot D ouglas - f i r b eam s m ad e wit h 301+ t e nsion laminations 1 X T a b l e I- 5. - - S p ecif ic gravit y an d m oist u re content of each lamination of 40 - foot southern pine beams made with 301+ tension laminations 1 29 APPENDIX II describes the individual boards in terms of modulus of elasticity, specific gravity, and moisture content. Numbers at the left end of each beam are those of the beam and lamination. All values for MOE, specific gravity, and moisture content were determined prior to beam fabrication. The modulus of elasticity was determined by a vibration technique conducted with each board supported at its ends. The reaction at one end was recorded and was assumed to represent one-half the weight of each board. Some inaccuracies are expected by this method because of differences of specific gravities along the length of the boards, The average specific gravity for each board was calculated from assumed average board dimensions and the weight of each board corrected to an ovendry weight using the moisture content values determined with a power-loss type meter, Odd-Numbered Figures Figures II-1, II-3, II-5, II-7, II-9, and II-11 show examples of boards used for the midlength portion of tension laminations for both Douglasfir and southern pine beams. Even-Numbered Figures Figures II-2, II-4, II-6, II-8, II-10, and II-12 show properties of the bottom three or four laminations of the indicated beam, as a means of depicting beam failure. The left half of these figures illustrate the location and mode of failure; that on the right Figure II-I.--Examples of Douglas-fir 2 by 6 boards used for center portion of 301 grade tension laminations. Midlength was at 20 feet and the constant moment section during test was from 16 to 24 feet on the 40-foot-long beams. FPL 113 30 Figure II-2.--For 40-foot Douglas-fir beams with 301 grade tension laminations, the failure (left) and lamination description (right) are shown near midlength on the three outer tension laminations. For each board the MOE is indicated first (in miIIion p.s.i.), then specific gravity, and finally moisture content (in percent). M 136 736 Figure II-3.--Perspective views of typical southern pine 2 by 6 boards used for center portion of 301 grade tension laminations. Midlength of beams at 20 feet and the constant moment section during test was from 16 to 24 feet for the 40-foot-long beams. FPL 113 32 F i g u r e I I - 4 . - - F o r4 0 - f o o t southern p i n e beams w i t h 301 grade t e n s i o n laminations, f a i l u r e ( l e f t ) and l a m i n a t i o n d e s c r i p t i o n ( r i g h t ) a r e shown n e a r m i d l e n g t h on t h e t h r e e o u t e r tension laminations. F o r each board t h e MOE i s i n d i c a t e d f i r s t ( i n m i l l i o n p.s.i.), t h e n s p e c i f i c g r a v i t y , and f i n a l l y m o i s t u r e c o n t e n t ( i n p e r c e n t ) . M 136 735 Figure II-5.--Examples of Douglas-fir 2 by 10 boards used for center portion of 301 grade tension laminations. Midlength was 25 feet and constant moment section during test was from 20 to 30 feet on the 50-foot-long beams. Figure II-6.--For 50-foot Douglas-fir beams with 301 grade tension laminations, the failure (left) and lamination description (right) are shown near midlength on the four outer tension laminations. For each board the MOE is indicated first- (in million p.s.i.), then specific gravity, and finally moisture content (in percent). M 136 734 FPL 113 36 Figure II-8.--For the 50-foot southern pine beams with 301 grade tension laminations, the failure (left) and lamination description (right) are shown near midlength on the four outer tension laminations. For each board MOE is indicated first (in million p.s.i.), then specific gravity, and finally moisture content (in percent). M 136 739 FPL 113 38 Figure II-10.--For 40-foot Douglas-fir beams with 301+ grade tension laminations, failure (left) arid lamination description (right) are shown near midlength of the three outer tension laminations. For each board MOE is indicated first (in million p.s.i.), then specific gravity, and finally moisture content (in percent). Figure II-11.--Perspective views of typical southern pine 2 by 6 boards used for center portion of 301+ grade tension laminations. Midlength of beams was at 20 feet and the constant moment section during test was from 16 to 24 feet for the 40-foot-long beams. FPL 113 40 Figure II-12.--For 40-foot southern pine beams with 301+ grade tension laminations, failure (left! and lamination description (right! are shown near midlength of three outer tension laminations. For each board MOE is indicated first (in million p.s.i.), then specific gravity, and finally moisture content (in percent). M 136 737 APPENDIX III The distribution of modulus of elasticity of the lumber supplies used to fabricate the beams is shown in figures III-1 through III-4. These modulus of elasticity values were determined by a vibration technique. The average moisture contents of the Douglas-fir boards was about 7 to 8 percent and of the southern pine 13 percent of the time the modulus of elasticity was determined. F igur e III- 1. - - D i s tri b u ti o no f m o dul us of elas ti c i ty i n th e 2- b y 6- inch Douglas - fi r I um b e r. Fi gure III- 2. - - D i stri buti onof modulus of el asti ci ty i n the 2- by 6- inch southern pine lumber. M 136 728 M 136 729 FPL 113 42 Fi gur e I I I- 3. - - D i s tri b u ti o no f mo d u l u s o f elas t ic it y in th e 2- by 10 - inch Douglas - fi r um I ber . Fi gure III- 4. - - D i stri buti onof modul us of el asti ci ty i n the 2- b y I O- inch southern pi nel umber. M 136 731 M 136 730 43 ABOUT THE FOREST SERVICE. . . . A s our Nation grows, people expect and need more from their forests--more wood; more water, fish and wildlife; more recreation and natural beauty; more special forestproducts andforage. The Forest Service of the U.S. Department of Agriculture helps to fulfill these expectations and needs through three major activities: * Conducting forest and range research at over 75 locations ranging from Puerto Rico to Alaska to Hawaii. * Participating cooperative wisely use State, local, with all State forestry agencies in programs to protect, improve, and our Country's 395 million acres of and private forest lands. * Managing and protecting the National Forest System. 187-million acre The Forest Service does this by encouraging use of the new knowledge that research scientists develop; by setting an example in managing, under sustained yield, the National Forests and Grasslands for multiple use purposes; and by cooperating with all States and with private citizens in their efforts to achieve better management, protection, and use of forest resources. Traditionally, Forest Service people have been active members of the communities and towns in which they live and work. They strive to secure for all, continuous benefits from the Country's forest resources. For more than 60 years, the Forest Service has been serving the Nation as a leading natural resource conservation agency. FPL 113 44 1.5-45
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