
Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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Transcribed Image Text:Question 5
Using virtual work, compute the vertical displacement at point C of the beam shown below. E = 29(10³)
ksi, I = 200 in¹.
10 kips
A
4 ft
B
www
4 ft
C
4 ft
D
65
4 ft
10 kips
E
![Table for:
Rectangle
M
M
Triangle
M
M
L
Triangle
M
L
Triangle
L
Trapezoid
-6-
slope-0
L
Parabola
slope - 0
L
Parabola
slope-0
S'MQdx
L
Parabola
L
Parabola
M
M
M,
M
M
slope - 0
Q
Rectangle
L
LMQ
LMQ
The values in the table represent the integration of the
product of the two shapes with a common length L.
Triangle
Triangle
Trapezoid Q
LMQ
LMQ
2LMQ
2LMQ
LMQ
LMQ
L
LMQ
LMQ
LMQ
6
MQ (L + a)
SLMQ
(M+M) (M+2M) (2M, + M)
LMQ
0 0
LMQ
LMQ
L
LMQ
LMQ
6
WE
MO(L + b)
LMQ
LMQ
12
L
LMQ
LM(Q+Q)
IM(Q+20)
LM (2Q+Q)
[Q(+b)
+Q(l+a)]
Q(2M,+ M)
+Q (M, + 2M)]
SLMQ [2(sQ+3Q)
(3Q+5Q)
(Q+30)
M3Q+Q)](https://content.bartleby.com/qna-images/question/95aeff90-eae1-41d1-a6d5-24c543733ee7/58738a27-b664-4b62-ab32-ada100f0cab0/5o12wa_thumbnail.jpeg)
Transcribed Image Text:Table for:
Rectangle
M
M
Triangle
M
M
L
Triangle
M
L
Triangle
L
Trapezoid
-6-
slope-0
L
Parabola
slope - 0
L
Parabola
slope-0
S'MQdx
L
Parabola
L
Parabola
M
M
M,
M
M
slope - 0
Q
Rectangle
L
LMQ
LMQ
The values in the table represent the integration of the
product of the two shapes with a common length L.
Triangle
Triangle
Trapezoid Q
LMQ
LMQ
2LMQ
2LMQ
LMQ
LMQ
L
LMQ
LMQ
LMQ
6
MQ (L + a)
SLMQ
(M+M) (M+2M) (2M, + M)
LMQ
0 0
LMQ
LMQ
L
LMQ
LMQ
6
WE
MO(L + b)
LMQ
LMQ
12
L
LMQ
LM(Q+Q)
IM(Q+20)
LM (2Q+Q)
[Q(+b)
+Q(l+a)]
Q(2M,+ M)
+Q (M, + 2M)]
SLMQ [2(sQ+3Q)
(3Q+5Q)
(Q+30)
M3Q+Q)
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- Determine the shear force and moment acting at point C of the beam shown in (Figure 1). For the calculation use Simpson's rule to evaluate the integrals. Follow the sign convention. Figure W 2 kip/ft w = (2x³ + √√x + 4)"> 2 ft 2 ft 1 of 1 11.58 kip/ft Part A What is the shear force at C? Express your answer in kilopounds to three significant figures. Vc = Submit Part B 15. ΑΣΦ Request Answer vec Beste ? What is the moment at C'? Express your answer in kilopound-feet to three significant figures. kiparrow_forwardCalculate the beam deflection at point A. Negative if deflection is below x-axis and positive if above. Assume that E= 179 GPa and / = 386 x 106 mm4 are constant. Answer in mm rounded-off to two decimal places. 1.5 m 55 kN B 25 kN/m 2.5 marrow_forward
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