A beam supported on three reactions as shown in the figure consists of two segments joined at a frictionless hinge at which the bending moment is zero. Draw the shear & moment diagrams using the a) Area Method, and b) V & M equations. (Hint: Use the hinge to separate portions of the beams by making Free Body Diagrams to enable you to solve for the reactions.) R A 2 20 kN/m 40 KN 4 m B R C 1 hinge V H 1 6 m 20 kN/m RE E

A beam supported on three reactions as shown in the figure consists of two segments joined at a frictionless hinge at which the bending moment is zero. Draw the shear & moment diagrams using the a) Area Method, and b) V & M equations. (Hint: Use the hinge to separate portions of the beams by making Free Body Diagrams to enable you to solve for the reactions.) R A 2 20 kN/m 40 KN 4 m B R C 1 hinge V H 1 6 m 20 kN/m RE E

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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Matrix Algebra for Structural analysis

Structural analysis is a process in which the effects of different loads and internal forces, acting on structures and their elements are determined. This method of analysis is effective in detecting the failure loads of the structural elements and the design can be altered before commencing the construction process, which ensures proper strength and safety of the structures.

Question

A beam supported on three reactions as shown in the figure
consists of two segments joined at a frictionless hinge at which
the bending moment is zero. Draw the shear & moment
diagrams using the a) Area Method, and b) V & M equations.
(Hint: Use the hinge to separate portions of the beams by making
Free Body Diagrams to enable you to solve for the reactions.)
R
A
2
20 kN/m
40
KN
4
m
B
R
C
1
hinge
V
H
1
6
m
20 kN/m
R
E
E

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Step 2: Support reactions and free body diagram

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Step 3: Shear force diagram

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Step 4: Bending moment diagram and V,M equations

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