Question 4 A 100mm diameter solid aluminium post is subjected to a bending moment of 2KNm, and a concentrated torque of 4kNm, and an axial tensile concentrated force of 100kN as shown in Figure Q4. (a) Determine the factor of safety if the von Mises (maximum distortion energy) criterion is considered (the yield stress in simple tension is 200MN/m²). (b) Without further calculations, suggest how this problem could be solved using other relevant failure criteria, considering (i) a brittle material and (ii) a ductile material with relevant examples of each. 2kNm b Figure Q4 4kNm 100KN

Structural Analysis
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Question 4
A 100mm diameter solid aluminium post is subjected to a bending moment of 2KNm, and
a concentrated torque of 4kNm, and an axial tensile concentrated force of 100kN as
shown in Figure Q4.
(a) Determine the factor of safety if the von Mises (maximum distortion energy)
criterion is considered (the yield stress in simple tension is 200MN/m²).
(b) Without further calculations, suggest how this problem could be solved using other
relevant failure criteria, considering (i) a brittle material and (ii) a ductile material
with relevant examples of each.
2kNm
b
Figure Q4
4kNm
100KN
Transcribed Image Text:Question 4 A 100mm diameter solid aluminium post is subjected to a bending moment of 2KNm, and a concentrated torque of 4kNm, and an axial tensile concentrated force of 100kN as shown in Figure Q4. (a) Determine the factor of safety if the von Mises (maximum distortion energy) criterion is considered (the yield stress in simple tension is 200MN/m²). (b) Without further calculations, suggest how this problem could be solved using other relevant failure criteria, considering (i) a brittle material and (ii) a ductile material with relevant examples of each. 2kNm b Figure Q4 4kNm 100KN
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