Within few minutes Nonprismatic BeamsO A anered cantilever beam AB of length L has square cross sections and supports a concentrated load P at thed Isee figure part (a)]. The width and height of the beam vary linearly from ha at the free end to hp at thefixed end.Determine the distance x from the free end A to the cross section of maximum bending stress if he = 3hA.(a) What is the magnitude omax of the maximum bending stress? What is the ratio of the maximum stress tothe largest stress B at the support?(b) Repeat (a) if load P is now applied as a uniform load of intensity q = PIL over the entire beam, A isrestrained by a roller support and B is a sliding support [see figure, part (b)].q = PILBAhaВAhBPSlidingsupportL.(a)(b)PROR 30

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Nonprismatic Beams veered cantilever beam AB of length L has square cross sections and supports a concentrated load P at the nd Isee figure part (a)]. The width and height of the beam vary linearly from ha at the free end to hp at the fixed end. Determine the distance x from the free end A to the cross section of maximum bending stress if ha 3h4. %3D (a) What is the magnitude omax of the maximum bending stress? What is the ratio of the maximum stress to the largest stress B at the support? (b) Repeat (a) if load P is now applied as a uniform load of intensity q = PIL over the entire beam, A is restrained by a roller support and B is a sliding support [see figure, part (b)]. q = P/L A hA B hB Sliding support (a) (b) PROP 30

Nonprismatic Beams veered cantilever beam AB of length L has square cross sections and supports a concentrated load P at the nd Isee figure part (a)]. The width and height of the beam vary linearly from ha at the free end to hp at the fixed end. Determine the distance x from the free end A to the cross section of maximum bending stress if ha 3h4. %3D (a) What is the magnitude omax of the maximum bending stress? What is the ratio of the maximum stress to the largest stress B at the support? (b) Repeat (a) if load P is now applied as a uniform load of intensity q = PIL over the entire beam, A is restrained by a roller support and B is a sliding support [see figure, part (b)]. q = P/L A hA B hB Sliding support (a) (b) PROP 30

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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