Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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The beam shown in Figure Q.2 consists of a W610 × 140 structural steel wide-flange shape [E = 200 GPa; I = 1120 × 106 mm4]. If w = 52 kN/m and P = 129 kN , determine:
a) Calculate the value of the deflection at point B due to uniformly distributed load w in the form:
v_B=(answer)/(EI)
b) Calculate the value of the deflection at point B due to concentrated load P in the form:
v_B=(answer)/(EI)
c)Calculate the vertical reaction at support B. When sketching FBD, assume the positive direction of all reactions in the positive direction of y axis.
d) Calculate the vertical reaction at support D.
e) Calculate the vertical reaction at support A.
f) Find the maximum bending moment in the beam.
g) Calculate the magnitude of the maximum bending stress in the beam
Transcribed Image Text:A
▲y, V
1.5 m
B
W
3.5 m
P
IVIT
с
2.5 m
D
X
Expert Solution
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Step 1: Introducing given data
VIEW Step 2: Taking reaction at B as redundant
VIEW Step 3: Calculate vertical reaction at A for simply supported beam AD for udl & load
VIEW Step 4: Using double integration method to calculate deflection at B due to udl w
VIEW Step 5: Using double integration method to calculate deflection at B due to load P
VIEW Step 6: Using double integration method to calculate deflection at B due to reaction By
VIEW Step 7: Calculate reaction at B
VIEW Step 8: Calculate max moment
VIEW Step 9: Calculate max bending stress
VIEW Solution
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