A steel cantilever beam, of length 2L, has an I-section, see Figure Q3. The cantilever beam is under a uniformly distributed load q = 155 kN/m applied in its vertical plane of symmetry at OA part of the span. The yield strength of the steel is [0] = 420 MPa; the Young's modulus E = 239 GPa. L= 2 m and the coordinates of Point H are x= 0 mm, y = -65 mm, z= 0 mm. y O L 9 ↓ L B X Figure Q3 20mm 10mm H 20mm 180mm -220mm a) The factors of safety predicted at point H by the maximum shear stress theory of failure (Tresca criterion)

Elements Of Electromagnetics
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The factors of safety at point H predicted by the maximum-distortion-energy theory (von Mises criterion) can be calculated as The von Mises equivalent stresses at point H 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)
Deflection -
Rotation -
Transcribed Image Text: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 -
A steel cantilever beam, of length 2L, has an I-section, see Figure Q3. The cantilever beam is under
a uniformly distributed load q = 155 kN/m applied in its vertical plane of symmetry at OA part of the
span. The yield strength of the steel is [0] = 420 MPa; the Young's modulus E = 239 GPa. L= 2 m
and the coordinates of Point H are x= 0 mm, y = -65 mm, z= 0 mm .
O
q
A
↓
L
B
X
Figure Q3
20mm
10mm H
20mm
180mm
-220mm
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 2L, has an I-section, see Figure Q3. The cantilever beam is under a uniformly distributed load q = 155 kN/m applied in its vertical plane of symmetry at OA part of the span. The yield strength of the steel is [0] = 420 MPa; the Young's modulus E = 239 GPa. L= 2 m and the coordinates of Point H are x= 0 mm, y = -65 mm, z= 0 mm . O q A ↓ L B X Figure Q3 20mm 10mm H 20mm 180mm -220mm a) The factors of safety predicted at point H by the maximum shear stress theory of failure (Tresca criterion)
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