A steel cantilever beam, of length 2L, has an l-section, see Figure Q3. The cantilever beam is undera uniformly distributed load q = 175 kN/m applied in its vertical plane of symmetry at OA part of thespan. The yield strength of the steel is [a] = 440 MPa; the Young's modulus E = 250 GPa. L=1mand the coordinates of Point H are x= 0 mm, y = -80 mm, z= 0 mm.b)Od)LqALDeflection -Rotation -BXFigure Q320mm10mm H20mmThe von Mises equivalent stresses at point H can be calculated asулa)The factors of safety predicted at point H by the maximum shear stress theory of failure (Trescacriterion)-220mmb180mmc)The factors of safety at point H predicted by the maximum-distortion-energy theory (von Misescriterion) can be calculated asMPaBy use of the virtual work method, determine the rotation and deflection at the end B.mm (Downward deflection is negative)x 10-3 radians (Positive rotation is in the anticlockwise direction)

A steel cantilever beam, of length 2L, has an l-section, see Figure Q3. The cantilever beam is under a uniformly distributed load q = 175 kN/m applied in its vertical plane of symmetry at OA part of the span. The yield strength of the steel is [a] = 440 MPa; the Young's modulus E = 250 GPa. L=1m and the coordinates of Point H are x= 0 mm, y = -80 mm, Z= 0 mm. O b) L q A L B X Figure Q3 20mm 10mm H 20mm The von Mises equivalent stresses at point H can be calculated as -220mm b 180mm a) The factors of safety predicted at point H by the maximum shear stress theory of failure (Tresca criterion) 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 = 175 kN/m applied in its vertical plane of symmetry at OA part of the span. The yield strength of the steel is [a] = 440 MPa; the Young's modulus E = 250 GPa. L=1m and the coordinates of Point H are x= 0 mm, y = -80 mm, Z= 0 mm. O b) L q A L B X Figure Q3 20mm 10mm H 20mm The von Mises equivalent stresses at point H can be calculated as -220mm b 180mm a) The factors of safety predicted at point H by the maximum shear stress theory of failure (Tresca criterion) 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

Chapter10: Statically Indeterminate Beams

Section: Chapter Questions

Problem 10.4.33P: The cantilever beam AB shown in the figure is an S6 × 12.5 steel I-beam with E = 30 × 106 psi. The...

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