For the beam shown in the figure below, determine the reaction at point C using the singularity functions. Also, determine the most economical W-shape for the beam if the maximum allowable deflection at B is 6 mm refer to the properties of the rolled-steel - W shape provided). The beam's modulus of elasticity is 200 GPa. The distance 'a' is 3 metre, distance 'b' is 2.5 metre, and the distance 'c' is 3.5 metre. The distributed load, w, is 30 N/m. The load, P is 200 N. P W H A C B W-shape cross-section a b C

For the beam shown in the figure below, determine the reaction at point C using the singularity functions. Also, determine the most economical W-shape for the beam if the maximum allowable deflection at B is 6 mm refer to the properties of the rolled-steel - W shape provided). The beam's modulus of elasticity is 200 GPa. The distance 'a' is 3 metre, distance 'b' is 2.5 metre, and the distance 'c' is 3.5 metre. The distributed load, w, is 30 N/m. The load, P is 200 N. P W H A C B W-shape cross-section a b C

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

For the beam shown in the figure below, determine the reaction at point C using the singularity functions.
Also, determine the most economical W-shape for the beam if the maximum allowable deflection at B is 6 mm
(refer to the properties of the rolled-steel - W shape provided). The beam's modulus of elasticity is 200
GPa. The distance 'a' is 3 metre, distance 'b' is 2.5 metre, and the distance 'c' is 3.5 metre. The distributed load,
w, is 30 N/m. The load, P is 200 N.
P
W
H
A
C
B
W-shape cross-section
a
b

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