PHYSICS 534 R E W S N EXERCISE-18 A S Elasticity Max von Laue received the Nobel prize for physics in 1914 for his work with crystal diffraction in X-rays. von LAUE Two equal but opposite applied forces acting in parallel produce what is called a "stress". A stress can be considered as a force "inside" a solid material produced by two parallel forces acting on the material. If the stress is within the “elastic limit” of the material, the material will return to its original shape when the stress is removed. If the stress causes the material to deform beyond its elastic limit, the material will be permanently deformed when the stress is removed. Strain refers to the deformation a material undergoes due to a stress acting on it. The strain can be temporary when the stress acts within the elastic limit, or permanent when the stress acts beyond the elastic limit. Strain is simply the shape of the deformation. S T R E S S W ith ine le as ticlim it (R e s tor e d ) T e n s ion S tr e tc h e d C om p r e s s ion S h or te n e d B e n d in g B e n t T w is tin g T w is te d Note: A wire (or string or rope) is under "tension" when pulled and has two equal but opposite forces acting on it. The S h a r in g tension ise equal to the applied force pulling the wire (even though the resultant force is zero). In the illustration on the right, a rope is attached to a wall and is pulled with an applied force FA equal to 100 N. 1. B e yon de las ticlim it (D e for m e d ) S T R A I N W a l l W a l l f o r c e W a r p e d F = 1 0 0 N W A p p l i e d f o r c R o p e Define elasticity. ______________________________________________________________________ The ability of a material to be stretched. 2. Explain the difference between a perfectly elastic and a perfectly inelastic material. ______________________________________________________________________ In a perfectly elastic material, there is no energy loss. In a perfectly inelastic material, there is total energy loss. ______________________________________________________________________ PHYSICS 534 STATICS AnsPhysics Ex-18.DOC © 1999 S. Lancione Page 1 /2 F = 1 0 0 N A 3. Define stress. Two equal but opposite forces acting in parallel. ______________________________________________________________________ 4. Define strain. ______________________________________________________________________ The deformation that an object undergoes due to a stress. 5. A 20 kg object is suspended from a ceiling by a wire. What is the tension in the wire? Ceiling ___________________________________________ Since the object is at rest, FR 0. Thus, FUP FDOWN ___________________________________________ FUP (20 kg)(10 m / s 2 ) 200 N 6. Wire 20 kg List the five types of stress, draw the forces corresponding to the stresses acting on an object (under FORCES), and state the strain associated with each stress: Write the Draw the Write the STRESS FORCES STRAIN a) Tension Stretched b) Compression Shortened c) Bending Bent d) Twisting Twisted e) Shearing Warped PHYSICS 534 STATICS AnsPhysics Ex-18.DOC Elasticity Page 2 /2
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