b) The von Mises equivalent stresses at point H can be calculated as MPa
b) The von Mises equivalent stresses at point H can be calculated as MPa
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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Transcribed Image Text:b)
The von Mises equivalent stresses at point H can be calculated as
c)
The factors of safety at point H predicted by the maximum-distortion-energy
theory (von Mises criterion) can be calculated as
MPa
![A steel cantilever beam, of length 2L, has an l-section, see Figure Q3. The
cantilever beam is under a uniformly distributed load q = 180 kN/m applied in its
vertical plane of symmetry at OA part of the span. The yield strength of the steel is [
0]=400 MPa; the Young's modulus E = 238 GPa. L= 3 m and the coordinates of
Point H are x= 0 mm, y = -80 mm, z= 0 mm.
y
O
q
A
L 4
L
B
1 X
Figure Q3
20mm
10mm H
20mm
180mm
-220mm
b
a)
The factors of safety predicted at point H by the maximum shear stress theory of
failure (Tresca criterion)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F226fee03-c629-4185-8cef-0e29840a7a8d%2F9743b4bf-0ae7-40f4-8e38-e678ed7c808f%2Faq9cgz_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A steel cantilever beam, of length 2L, has an l-section, see Figure Q3. The
cantilever beam is under a uniformly distributed load q = 180 kN/m applied in its
vertical plane of symmetry at OA part of the span. The yield strength of the steel is [
0]=400 MPa; the Young's modulus E = 238 GPa. L= 3 m and the coordinates of
Point H are x= 0 mm, y = -80 mm, z= 0 mm.
y
O
q
A
L 4
L
B
1 X
Figure Q3
20mm
10mm H
20mm
180mm
-220mm
b
a)
The factors of safety predicted at point H by the maximum shear stress theory of
failure (Tresca criterion)
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Step 1: Given
VIEWStep 2: Calculation of reaction force maximum shear force and maximum , minimum moment
VIEWStep 3: Calculation of moment of inertia about z axis and maximum and minimum bending stress at H
VIEWStep 4: Calculation of shear stress at H and principal stresses at H
VIEWStep 5: Calculation of FOS according to Tressa criteria and von mises criteria
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