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
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
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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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
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Step 1: Introducing given data
VIEWStep 2: Taking reaction at B as redundant
VIEWStep 3: Calculate vertical reaction at A for simply supported beam AD for udl & load
VIEWStep 4: Using double integration method to calculate deflection at B due to udl w
VIEWStep 5: Using double integration method to calculate deflection at B due to load P
VIEWStep 6: Using double integration method to calculate deflection at B due to reaction By
VIEWStep 7: Calculate reaction at B
VIEWStep 8: Calculate max moment
VIEWStep 9: Calculate max bending stress
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