Calculate the value of the deflection at point B due to concentrated load P in the formEnter 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. UB=numeratorΕΙ The beam shown in Figure Q.2 consists of a W610 x 140 structural steel wide-flange shape [E = 200 GPa; /=1120 x 106 mm4]. If w=59 kN/m and P= 129 kN, determine:4.3, V1.5 mBW3.5 mPC2.5 mDFigure Q.2Part A: The reactions at A, B, and D. Choose the reaction force at B as the redundant; therefore, thereleased beam is simply supported between A and D.

Answered: Image /qna-images/answer/d5779eb6-0366-4d95-a191-6cf604b328b3.jpg

Answered: Part A: The reactions at A, B, and D.…

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.

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

Loads and Reactive Forces

Loads are the external influences that a beam experiences under its working conditions. For instance, a beam may be subjected to shear loads, twisting loads, bending moment, and axial loads during its working conditions. Engineers primarily deal with beams and trusses in the civil engineering domain. Due to the influence of loads, it is very crucial to determine the induced stresses and deformation values. These values give an insight into the critical area of the beam that needs to be worked upon to make it fail-safe.

Question

Calculate the value of the deflection at point B due to concentrated load P in the form

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 x 106 mm4]. If w=59 kN/m and P= 129 kN, determine:
4.3, V
1.5 m
B
W
3.5 m
P
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.

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Step 1: Introduce the problem statement

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Step 2: Determine static indeterminacy

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Step 3: Support reactions for beam subjected to external load and unit load

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Step 4: Apply principle of virtual work

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Step 5: Determine the value of redundant

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Step 6: Determine support reactions

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