me beam shown ists of a 200 GPa; /= 1120 × 106 mm4]. If w= 66 kN/m and P= 128 kN, determine: AY, V P A 1.5 m B W 3.5 m Tal Steel C numerator EI e-mange shape [2 2.5 m 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 D UB 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. X

me beam shown ists of a 200 GPa; /= 1120 × 106 mm4]. If w= 66 kN/m and P= 128 kN, determine: AY, V P A 1.5 m B W 3.5 m Tal Steel C numerator EI e-mange shape [2 2.5 m 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 D UB 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. X

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Beams

In structural engineering, a beam is a component made of a variety of materials (including steel alloys, and wood) that can resist loads applied laterally to the beam axis. Members, elements, rafters, shafts, and purlins are all terms used to describe beams.

Question

Please do following

a * 14
200 GPa; /= 1120 × 106 mm4]. If w=66 kN/m and P= 128 kN, determine:
P
AY, V
A
1.5 m
B
W
3.5 m
leet
[VIT
C
numerator
ΕΙ
de-itange snape [E
2.5 m
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
D
UB
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.
X

e) Calculate the vertical reaction at support A. Enter your answer in kN to two decimal places.
Answer:
Check
Part B. The magnitude of the maximum bending stress in the beam.
f) Find the maximum bending moment in the beam. Enter your answer in kNm to two decimal
places.

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Step 1: Introducing given data

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Step 2: Taking reaction at B as redundant

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Step 3: Calculate vertical reaction at A for simply supported beam AD for udl & load

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Step 4: Using double integration method to calculate deflection at B due to udl w

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Step 5: Using double integration method to calculate deflection at B due to load P

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Step 6: Using double integration method to calculate deflection at B due to reaction By

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Step 7: Calculate reaction at B

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Step 8: Calculation of maximum bending moment

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