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=139 mm and h=300 mm, respectively. and the wall thickness is 8 mm. A point force of P=202 kN is applied at the free end of the cantilever beam. The yield strength of the steel is [o] = 316 MPa. The coordinates of Point H are x=-75 mm, y=0 mm, Z=-65.5 mm

Mechanics of Materials (MindTap Course List)
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Author:Barry J. Goodno, James M. Gere
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Chapter3: Torsion
Section: Chapter Questions
Problem 3.11.6P: A thin-walled circular tube and a solid circular bar of the same material (see figure) are subjected...
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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=139 mm and h=300 mm, respectively,
and the wall thickness is 8 mm. A point force of P=202 kN is applied at the free end of the cantilever
beam. The yield strength of the steel is [o] =316 MPa. The coordinates of Point H are x=-75 mm
y=0 mm, z= -65.5 mm.
L
8 mm
75 mm
H
AN
Q_1
(a) the factors of safety predicted at point H by the maximum shear stress theory of failure (Tresca
criterion)
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=139 mm and h=300 mm, respectively, and the wall thickness is 8 mm. A point force of P=202 kN is applied at the free end of the cantilever beam. The yield strength of the steel is [o] =316 MPa. The coordinates of Point H are x=-75 mm y=0 mm, z= -65.5 mm. L 8 mm 75 mm H AN Q_1 (a) the factors of safety predicted at point H by the maximum shear stress theory of failure (Tresca criterion)
C)
the factors of safety at point H predicted by the maximum-distortion-energy theory (Von Mises
criterion) can be calculated as
Transcribed Image Text:C) the factors of safety at point H predicted by the maximum-distortion-energy theory (Von Mises criterion) can be calculated as
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