For the frame shown, determine the reactions at the supports (support A is a hinged while B is a roller). 10 kN/m 5.0 m 5.0 m 3.0 m 20 kN 5.0 m (a) Determine the resultant reaction at the hinged support. (b) Determine the reaction at the roller support. (c) Determine the shear at 2.5 meters from point D along the beam. (d) Determine the moment at 4 meters from point A along the beam.

For the frame shown, determine the reactions at the supports (support A is a hinged while B is a roller). 10 kN/m 5.0 m 5.0 m 3.0 m 20 kN 5.0 m (a) Determine the resultant reaction at the hinged support. (b) Determine the reaction at the roller support. (c) Determine the shear at 2.5 meters from point D along the beam. (d) Determine the moment at 4 meters from point A along the beam.

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

Use 3 decimal places

For the frame shown, determine the reactions at the
supports (support A is a hinged while B is a roller).
10 kN/m
5.0 m
5.0 m
3.0 m
20 kN
5.0 m
(a) Determine the resultant reaction at the
hinged support.
(b) Determine the reaction at the roller support.
(c) Determine the shear at 2.5 meters from
point D along the beam.
(d) Determine the moment at 4 meters from
point A along the beam.

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Step 1: Calculation of reactions at A and B

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Step 2: Resultant Reaction

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Step 3: Reaction at roller support

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Step 4: Shear at 2.5 m from D

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Step 5: Moment at 4 m from A

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