ES230 Strength of Materials
Lesson 16: Internal Shear and Moment II
"Perfection is not attainable, but if we chase perfection we may catch excellence." ~Vince Lombardi
LESSON 16: INTERNAL SHEAR AND MOMENT II - DIAGRAMS
Monday, February 27, 2017
LESSON OBJECTIVES
1. Write and describe the differential and integral relationships between w(x), V(x), and M(x).
2. Memorize and apply the Six Rules for Constructing Shear and Moment Diagrams (from Philpot)
3. Construct scaled shear and moment diagrams that give the correct value and shape at all points.
PHILPOT: Section 7.3 (also 7.1, 7.2, but 7.3 is today’s main emphasis). Philpot does an outstanding job in this section, so
students are strongly encouraged to read and study these sections, thoroughly.
Wednesday Evening Class: Perform the Pre-Lab work (video tutorials referenced online) in preparation for the “Quiz” on
Wednesday night. The work you will do is considered a “Quiz” in the sense that you will have to be prepared, in advance, in
order to do the work which must be submitted at the end of class. But you will be allowed to ask Prof. Kurtz questions (in
that sense, it’s not really a quiz).
IN CLASS EXAMPLES
1. Problem: Draw the Shear and Moment Diagram.
2. Problem: Draw the Shear and Moment Diagram.
HOMEWORK (DUE MONDAY)
0. Do as much of MecMovies M7.1 and M7.3 as necessary so that you can do these problems (do not hand it in). Note
that M7.1 MecMovie has the student cover each of the 6 Rules for Shear and Moment Diagrams with 4 examples
each, providing a “scorecard.” If you get every problem correct on the first try, then you would get a perfect score.
Getting problems correct on the 2nd or 3rd try also receives credit, but less than full credit. This MecMovie is a
perfect preparation for the assignment (below).
1. Do MecMovie M7.2. There will be five rounds of problems. Try to get them all right on the first try, as you only
get “full credit” for getting problems right on the first try. At the end of the five-round session, you will be asked to
type in your name and print. Hand this in.
2. Draw the Shear and Moment Diagram very neatly using the standard sign conventions. A is a fixed support. B is a
pinned connection. C is a roller support. The distributed load varies linearly, between B and C.
2 kip/ft
C
A
12’
12’
Draw the Moment Diagram only for the cantilever column, using the standard sign convention (plot “on the
compression side”). Do not rotate the drawing; plot it vertically, as shown.
1 kip/ft
3.
B
10’