Calculate the slope and deflection atB and E of the beam and loadings shown using conjugate beam method. The section of the beam is tubular with outer diameter of 500mm and inner diameter of 200mm. Take E=20GPa.

Calculate the slope and deflection atB and E of the beam and loadings shown using conjugate beam method. The section of the beam is tubular with outer diameter of 500mm and inner diameter of 200mm. Take E=20GPa.

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

Calculate the slope and deflection
atB and E of the beam and loadings
shown using conjugate beam
method. The section of the beam is
tubular with outer diameter of
500mm and inner diameter of
200mm. Take E=20GPa.
1800 N-m
B
200 N/m
DO
2m + 2m + 2m +2m
E

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Step 1: Introduce the problem statement

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Step 2: Determine support reactions

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Step 3: Plot shear force diagram for the given beam

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Step 4: Plot bending moment diagram for the given beam

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Step 5: Conjugate beam method

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Step 6: Compute support reactions in conjugate beam

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Step 7: Compute deflection at B and slope at B

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Step 8: Compute deflection at D and slope at D

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