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PROBLEM (10.122) A simply supported beam carries a concentrated load P as shown in Fig.
P10.116. Calculate the deflection at point D located L/4 from support A.
Given: P = 4 kips, L = 9 ft, E = 10 x 106 psi, I = 20 in.4
SOLUTION
See solution of Prob.10.116.
3
11
()
434
DBA L
vtA
=− +
33
51 71
81 4 2 6 4 12 5184
PL PL L L PL
EI EI
=− + = ↓
×
Substituting the given data:
33
6
71(4 10 )(9 12) 0.345 .
5184(10 10 )(20)
D
vin
××
==↓
×
x
A
M/EI
P
L
/
6EI
2PL/9EI
L/
4
L/
3
D
A
3
1
/
1
100%