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

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Question

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 [0] = 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.
0
q
b)
A
B
X
20mm
YA
10mm H
20mm
b
180mm
220mm
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

d)
By 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)
Deflection
Rotation -
-
€

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Step 3: Calculation for F.O.S. as per tresca theory

Step 4: part b).

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