Determine the shape of the simply supported fully stressed beam that supports a linearly varying 'triangular' distributed load along the length. The maximum intensity of the distributed load is coat the centre of the beam. -L/2- L/2- b h The beam has an allowable stress of gay. The width of the beam is constant and equal to b. To design the beam you must: (a) Determine a suitable equation for the bending moment in terms of x. Hint: Since the beam is symmetrical, your expression describing the bending moment as a function of x can range from x=0 to x=L/2 (b) Construct the shear force diagram and bending moment diagram for the problem. Ensure that the diagrams are fully labelled. (c) Calculate an expression for the height of the beam, h, in terms of x. Consider the bending stress 250MPa. only. gel Hint: the height, h, is proportional to the bending moment, M. It is not constant. Your answer will be a function of wo, x, L. (d) Comment on the value of hat x=0. Is the result reasonable? Justify your answer.

Determine the shape of the simply supported fully stressed beam that supports a linearly varying 'triangular' distributed load along the length. The maximum intensity of the distributed load is coat the centre of the beam. -L/2- L/2- b h The beam has an allowable stress of gay. The width of the beam is constant and equal to b. To design the beam you must: (a) Determine a suitable equation for the bending moment in terms of x. Hint: Since the beam is symmetrical, your expression describing the bending moment as a function of x can range from x=0 to x=L/2 (b) Construct the shear force diagram and bending moment diagram for the problem. Ensure that the diagrams are fully labelled. (c) Calculate an expression for the height of the beam, h, in terms of x. Consider the bending stress 250MPa. only. gel Hint: the height, h, is proportional to the bending moment, M. It is not constant. Your answer will be a function of wo, x, L. (d) Comment on the value of hat x=0. Is the result reasonable? Justify your answer.

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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Question

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Determine the shape of the simply supported fully stressed beam that supports a linearly varying
'triangular' distributed load along the length. The maximum intensity of the distributed load is coat
the centre of the beam.
-L/2-
L/2-
b
h
The beam has an allowable stress of gay. The width of the beam is constant and equal to b. To
design the beam you must:
(a) Determine a suitable equation for the bending moment in terms of x.
Hint: Since the beam is symmetrical, your expression describing the bending moment as a
function of x can range from x=0 to x=L/2
(b) Construct the shear force diagram and bending moment diagram for the problem. Ensure that
the diagrams are fully labelled.
(c) Calculate an expression for the height of the beam, h, in terms of x. Consider the bending stress
only. gel 250MPa.
Hint: the height, h, is proportional to the bending moment, M. It is not constant. Your answer
will be a function of wo, x, L.
(d) Comment on the value of hat x=0. Is the result reasonable? Justify your answer.

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