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

m10.5 Superposition Warm-up. Examples and concept
checkpoints pertaining to four basic superposition skills.
m10.6 one Simple Beam, one load, three Cases. Determine
numeric values of beam deflections at various points in a simply supported
beam with two overhangs. All deflections can be determined
with superposition of no more than three basic deflection cases.
FIGURE m10.5
FIGURE m10.6
pRoBLEmS
p10.37 For the beams and loadings shown in Figures
P10.37a–d, determine the beam deflection at point H. Assume that
EI = 8 × 10 4 kN · m 2 is constant for each beam.
v
15 kN
v
H A B C
3 m 8 m
2 m
FIGURE p10.37a
v
150 kN.m
x
A B H
FIGURE p10.37d
8 m 4 m
p10.38 For the beams and loadings shown in Figures
P10.38a–d, determine the beam deflection at point H. Assume that
EI = 6 × 10 4 kN · m 2 is constant for each beam.
x
H
2 m
FIGURE p10.37b
v
A
6 kN/m
4 m
30 kN
B
x
v
60 kN.m
A
H
3 m 6 m 6 m
FIGURE p10.38a
v
7.5 kN/m
B
x
x
x
A
H
4 m 4 m
B
4 m
C
H
A
3 m 6 m
B
FIGURE p10.37c
FIGURE p10.38b
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