Find the shear force at point A, (VA) in kN.Find the bending moment at point A,(MA) and point B,(MB) in kNm.Find the shear force at point B,(VB) in kN. Loading Case 3:a●A0.7 m1 mF₁b●BM₁1 The following diagrams show a fully fixed cantilever beam subjected to different loadingcases. For each loading case calculate the value of the internal shear force (V) and bendingmoment (M) at points A and B.Ensure that you adopt the positive sign convention for internal forces for all questions.Given:a = 0.5 mb = 0.1 mF₁ = 800 KNF₂ = 915 kNM₁ = 450 kNm

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Find the shear force at point A, (VA) in kN. Find the bending moment at point A,(MA) and point B,(MB) in kNm. Find the shear force at point B,(VB) in kN.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter10: Statically Indeterminate Beams

Section: Chapter Questions

Problem 10.3.14P: A propped cantilever beam of a length L is loaded by a concentrated moment M0at midpoint C Use the...

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Concept explainers

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

Question

Find the shear force at point A, (VA) in kN. Find the bending moment at point A,(MA) and point B,(MB) in kNm. Find the shear force at point B,(VB) in kN.

Loading Case 3:
a
●A
0.7 m
1 m
F₁
b
●B
M₁
1

The following diagrams show a fully fixed cantilever beam subjected to different loading
cases. For each loading case calculate the value of the internal shear force (V) and bending
moment (M) at points A and B.
Ensure that you adopt the positive sign convention for internal forces for all questions.
Given:
a = 0.5 m
b = 0.1 m
F₁ = 800 KN
F₂ = 915 kN
M₁ = 450 kNm

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Step 1: Draw the free body diagram.

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Step 2: Calculate reaction at fixed support using net vertical force equation under equilibrium condition.

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Step 3: Calculate moment at fixed support using net moment equation under equilibrium condition.

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Step 4: Calculate the shear force in section CD and CE.

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Step 5: Calculate the moment in section CD and CE.

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