A steel cantilever beam of length L = 1m has a hollow rectangular cross section. The outside width and height of the cross section are b = 100mm and h = 271mm respectively and the wall thickness is 8mm. A point force of 212kN is applied at the free end of the cantilever beam. The yield strength of the steel is 290MPa. The coordinates of Point H are x = -75mm, y = 0mm, z = -46mm. Please help me calculate the factors of safety predicted at point H by the maximum shear stress theory of failure. (Tresca criterion)

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 6.9.9P: A U-shaped cross section of constant thickness is shown in the figure. Derive the following formula...
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A steel cantilever beam of length L = 1m has a hollow rectangular cross section. The outside width and height of the cross section are b = 100mm and h = 271mm respectively and the wall thickness is 8mm. A point force of 212kN is applied at the free end of the cantilever beam. The yield strength of the steel is 290MPa. The coordinates of Point H are x = -75mm, y = 0mm, z = -46mm.

Please help me calculate the factors of safety predicted at point H by the maximum shear stress theory of failure. (Tresca criterion)

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