From the beam shown, E= 200 GPa and I= 500(10^6) mm4. Determine the vertical displacement of point C in mm. From the beam shown, E= 200 GPa and I= 500(10^6) mm4. Determine the slope in radians of point D. 20 kN 30 kN/m B 20 kNm C A D 6 m 2 m 2 m int. hinge From the beam shown, E= 200 GPa and I= 500(10^6) mm4. Determine the direction of displacement at C and slope at D, respectively.

From the beam shown, E= 200 GPa and I= 500(10^6) mm4. Determine the vertical displacement of point C in mm. From the beam shown, E= 200 GPa and I= 500(10^6) mm4. Determine the slope in radians of point D. 20 kN 30 kN/m B 20 kNm C A D 6 m 2 m 2 m int. hinge From the beam shown, E= 200 GPa and I= 500(10^6) mm4. Determine the direction of displacement at C and slope at D, respectively.

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

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

solve using virtual work method

From the beam shown, E= 200 GPa and I= 500(10^6) mm4. Determine the vertical
displacement of point C in mm.
From the beam shown, E= 200 GPa and I= 500(10^6) mm4. Determine the slope in radians of
point D.
20 kN
30 kN/m
20 kNm
B
A
6 m
2 m
2 m
int. hinge
From the beam shown, E= 200 GPa and I= 500(10^6) mm4. Determine the direction of
displacement at C and slope at D, respectively.

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Step 1 Given

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Step 2 Calculation of reactions

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Step 2 Moments due to real loads

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Step 4 Displacement at point C

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Step 5 Displacement at point C

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Step 6 Rotation at point D

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Step 7 Rotation at point D

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Step 8 Rotation at point D

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Step 9 Rotation at point D

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