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. y b) L q L B X 20mm 10mm H 20mm -220mm b 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
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Question 3
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=3m
and the coordinates of Point H are x= 0 mm, y = -75 mm, Z= 0 mm.
y
9
Įi
b)
L
L
B
X
Deflection -
20mm
Rotation -
10mm H
20mm
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
180mm
-220mm
b
The factors of safety at point H predicted by the maximum-distortion-energy theory (von Mises
criterion) can be calculated as
MPa
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)
Transcribed Image Text:Question 3 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=3m and the coordinates of Point H are x= 0 mm, y = -75 mm, Z= 0 mm. y 9 Įi b) L L B X Deflection - 20mm Rotation - 10mm H 20mm 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 180mm -220mm b The factors of safety at point H predicted by the maximum-distortion-energy theory (von Mises criterion) can be calculated as MPa 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)
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