A steel cantilever beam, of length 2L, has an l-section, see Figure Q3. The cantilever beam is under a uniformly distributed load q = 290 kN/m applied in its vertical plane of symmetry at OA part of the span. The yield strength of the steel is [o] = 440 MPa; the Young's modulus E = 209 GPa. L=3 m and the coordinates of Point H are x= 0 mm, y = -75 mm, z= 0 mm. q b) A B X 20mm 10mm H 20mm -220mm 180mm a) The factors of safety predicted at point H by the maximum shear stress theory of failure (Tresca criterion) The von Mises equivalent stresses at point H can be calculated as MPa c) The factors of safety at point H predicted by the maximum-distortion-energy theory (von Mises criterion) can be calculated as
A steel cantilever beam, of length 2L, has an l-section, see Figure Q3. The cantilever beam is under a uniformly distributed load q = 290 kN/m applied in its vertical plane of symmetry at OA part of the span. The yield strength of the steel is [o] = 440 MPa; the Young's modulus E = 209 GPa. L=3 m and the coordinates of Point H are x= 0 mm, y = -75 mm, z= 0 mm. q b) A B X 20mm 10mm H 20mm -220mm 180mm a) The factors of safety predicted at point H by the maximum shear stress theory of failure (Tresca criterion) The von Mises equivalent stresses at point H can be calculated as MPa c) The factors of safety at point H predicted by the maximum-distortion-energy theory (von Mises criterion) can be calculated as
Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter8: Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings)
Section: Chapter Questions
Problem 8.4.7P: A cantilever beam(Z, = 6 ft) with a rectangular cross section (/> = 3.5 in., h = 12 in.) supports an...
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