For the following steel frame (E = 200,000 MPa; l = 500 x 106 mm4), use the virtual work method to determine: a) The horizontal displacement at point B using direct integration; b) The vertical displacement at point C using the MOHR tables; c) The slope at point C using the MOHR tables.

For the following steel frame (E = 200,000 MPa; l = 500 x 106 mm4), use the virtual work method to determine: a) The horizontal displacement at point B using direct integration; b) The vertical displacement at point C using the MOHR tables; c) The slope at point C using the MOHR tables.

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

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121
2 m
4 m
2 m
3 kN
B
13
EI
H
2 m
4.5 kN
C

For the following steel frame (E = 200,000 MPa; I = 500 x 106 mm4),
use the virtual work method to determine:
a) The horizontal displacement at point B using direct integration;
b) The vertical displacement at point C using the MOHR tables;
c) The slope at point C using the MOHR tables.

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Step 1Given data

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Step 2 Calculation of support reactions

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Step 3 Horizontal deflection at point C

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Step 5 Vertical displacement at point C

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Step 6 Slope at point C

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