A steel cantilever beam, of length L=1 m, has a hollow rectangular cross-section, see Figure Q3. The outside width and height of the rectangular cross-section are b=140 mm and h=299 mm, respectively, and the wall thickness is 8 mm. A point force of P=221 kN is applied at the free end of the cantilever beam. The yield strength of the steel is [σ] = 324 MPa. The coordinates of Point H are x=-75 mm, y=0 mm, z= -66 mm. F L 8 mm 75 mm H X N

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
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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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I need help on solving this question, there are 3 parts:

a) find the factors of safety predicted at point H by the maximum shear stress theory of failure (Tresca criterion)

b) find the Mises equivalent stresses at point H can be calculated as ______ MPa

c) find the factors of safety at point H predicted by the maximum-distorsion-energy theory (Von Mises criterion) can be calculated as _______ 

A steel cantilever beam, of length L=1 m, has a hollow rectangular cross-section, see
Figure Q3. The outside width and height of the rectangular cross-section are b=140 mm
and h=299 mm, respectively, and the wall thickness is 8 mm. A point force of P=221 kN is
applied at the free end of the cantilever beam. The yield strength of the steel is [o] = 324
MPa. The coordinates of Point H are x=-75 mm, y=0 mm, z= -66 mm .
|--
L
y
8 mm
75 mm
H
0
AN
h
Transcribed Image Text:A steel cantilever beam, of length L=1 m, has a hollow rectangular cross-section, see Figure Q3. The outside width and height of the rectangular cross-section are b=140 mm and h=299 mm, respectively, and the wall thickness is 8 mm. A point force of P=221 kN is applied at the free end of the cantilever beam. The yield strength of the steel is [o] = 324 MPa. The coordinates of Point H are x=-75 mm, y=0 mm, z= -66 mm . |-- L y 8 mm 75 mm H 0 AN h
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