A simply supported beam AB has a length of 3 m and carries distributed load which varies in linear manner from (1.5w) N/m at A support to (3w) N/m at the B support, in addition, a concentrated load (lw) N at 2 m from A support. The beam has hollow circular cross section of diameter ratio 1/3 (inside diameter/outside diameter). Determine the value of (w) if the maximum bending stress 110 N/mm2, and the average shear stress at 1 m from point A is equal to 15 N/mm2.

A simply supported beam AB has a length of 3 m and carries distributed load which varies in linear manner from (1.5w) N/m at A support to (3w) N/m at the B support, in addition, a concentrated load (lw) N at 2 m from A support. The beam has hollow circular cross section of diameter ratio 1/3 (inside diameter/outside diameter). Determine the value of (w) if the maximum bending stress 110 N/mm2, and the average shear stress at 1 m from point A is equal to 15 N/mm2.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter6: Stresses In Beams (advanced Topics)

Section: Chapter Questions

Problem 6.2.13P: A simply supported wooden I-beam with a 12-ft span supports a distributed load of intensity q = 90...

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