The beam shown in Figure Q.2 consists of a W610 x 140 structural steel wide-flange shape [E = 200 GPa; /= 1120 × 106 mm4]. If w= 64 kN/m and P= 126 kN, determine: AY, V 1.5 m B W 3.5 m P UB= C 2.5 m D Figure Q.2 Part A: The reactions at A, B, and D. Choose the reaction force at B as the redundant; therefore, the released beam is simply supported between A and D. a) Calculate the value of the deflection at point B due to uniformly distributed load win the form numerator EI Note: E/will cancel out in further calculations. Enter the numerator in the answer box below in kNm³ to three decimal places. Assume the positive direction of deflection in the positive direction of v axis.
The beam shown in Figure Q.2 consists of a W610 x 140 structural steel wide-flange shape [E = 200 GPa; /= 1120 × 106 mm4]. If w= 64 kN/m and P= 126 kN, determine: AY, V 1.5 m B W 3.5 m P UB= C 2.5 m D Figure Q.2 Part A: The reactions at A, B, and D. Choose the reaction force at B as the redundant; therefore, the released beam is simply supported between A and D. a) Calculate the value of the deflection at point B due to uniformly distributed load win the form numerator EI Note: E/will cancel out in further calculations. Enter the numerator in the answer box below in kNm³ to three decimal places. Assume the positive direction of deflection in the positive direction of v axis.
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 = 64 kN/m and P = 126 kN , determine:
Part A: The reactions at A, B, and D. Choose the reaction force at B as the redundant; therefore, the released beam is simply supported between A and D.
a) Calculate the value of the deflection at point B due to uniformly distributed load w in the form
??=???????????
Note: EI will cancel out in further calculations.
Enter the numerator in the answer box below in kNm3 to three decimal places. Assume the positive direction of deflection in the positive direction of v axis.
![The beam shown in Figure Q.2 consists of a W610 × 140 structural steel wide-flange shape [E = 200 GPa; /= 1120 × 106 mm²]. If w= 64 kN/m and P= 126 kN,
determine:
A
AV, V
1.5 m
B
W
3.5 m
P
UB =
IVT.
C
2.5 m
D
X
Figure Q.2
Part A: The reactions at A, B, and D. Choose the reaction force at B as the redundant; therefore, the released beam is simply supported between A and D.
a) Calculate the value of the deflection at point B due to uniformly distributed load win the form
numerator
ΕΙ
Note: E/ will cancel out in further calculations.
Enter the numerator in the answer box below in kNm³ to three decimal places. Assume the positive direction of deflection in the positive direction of v axis.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb27cb9df-68b6-4c6c-824c-1166a13a3bca%2F9c1bee19-ffb8-4d1e-9e71-f0129844a370%2F7j7xgvw_processed.png&w=3840&q=75)
Transcribed Image Text:The beam shown in Figure Q.2 consists of a W610 × 140 structural steel wide-flange shape [E = 200 GPa; /= 1120 × 106 mm²]. If w= 64 kN/m and P= 126 kN,
determine:
A
AV, V
1.5 m
B
W
3.5 m
P
UB =
IVT.
C
2.5 m
D
X
Figure Q.2
Part A: The reactions at A, B, and D. Choose the reaction force at B as the redundant; therefore, the released beam is simply supported between A and D.
a) Calculate the value of the deflection at point B due to uniformly distributed load win the form
numerator
ΕΙ
Note: E/ will cancel out in further calculations.
Enter the numerator in the answer box below in kNm³ to three decimal places. Assume the positive direction of deflection in the positive direction of v axis.
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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
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