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Timothy A. Philpot - Mechanics of materials _ an integrated learning system-John Wiley (2017)

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m7.3 Dynamically generated shear-force and bendingmoment

diagrams for 48 beams with various support and

loading configurations. Brief explanations are given for all

key points on both the V and M diagrams.

ExERcISES

m7.1 Six Rules for Constructing Shear-Force and Bending-

Moment Diagrams. Score at least 40 points for each of the six

rules. (Minimum total score = 240 points.)

m7.2 Following the rules, score at least 350 points out of 400

possible points.

FIGURE m7.1 FIGURE m7.2

pRoBLEmS

p7.8–p7.16 Use the graphical method to construct the shearforce

and bending-moment diagrams for the beams shown in Figures

P7.8–P7.16. Label all significant points on each diagram, and

identify the maximum moments (both positive and negative) along

with their respective locations. Clearly differentiate straight-line

and curved portions of the diagrams.

A

y

FIGURE p7.8

35 kN 45 kN

15 kN

B C D E

4 m 4 m 2 m 4 m

x

y

A B

C D

3 ft

FIGURE p7.9

y

4.5 kips/ft

9 ft 3 ft

A B C D E F

6 ft

FIGURE p7.10

300 lb/ft

6 ft

6 ft

6,000 lb·ft

6 ft

1,200 lb

6 ft

x

x

221

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