The figure below shows a hollow circular beam with an outside diameter of 100 mm and a wall thickness of 40 mm loaded in bending with force F = 200 kN. F Ra Rb 1 m 1 m Young's modulus of the beam is 80 GPa. Calculate the second moment of area, I, in m* in the form a x 10 0 where the number a is correct to two decimal places. I: x10 m4 Calculate the maximum bending moment, M, in kilonewtonmetres (kNm):

The figure below shows a hollow circular beam with an outside diameter of 100 mm and a wall thickness of 40 mm loaded in bending with force F = 200 kN. F Ra Rb 1 m 1 m Young's modulus of the beam is 80 GPa. Calculate the second moment of area, I, in m* in the form a x 10 0 where the number a is correct to two decimal places. I: x10 m4 Calculate the maximum bending moment, M, in kilonewtonmetres (kNm):

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Combined Loading

Any functioning component, such as machine parts, structural members, pressure vessels, and so on, are all under the influence of more than one force. When anybody is under the influence of more than one force such as shear forces, bending moments, axial forces, torsion, and so on, then such body is said to be under combined loading. A very practical example of combined loading is the crankshaft of an internal combustion engine (IC engine). The crankshaft of the IC engine is under high rpm, which is caused due to the torsional forces. Due to the presence of piston, counterbalances, and internal imbalances, the crankshaft experiences lateral forces and due to the rise in temperature, the crankshaft undergoes thermal expansion, which pulls the crankshaft along the axial direction and lateral direction. The presence of unbalanced loads along the periphery of the crankshaft also induces a bending moment.

Question

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The figure below shows a hollow circular beam with an outside diameter of 100 mm and a wall thickness of 40 mm loaded in bending with force F = 200 kN.
F
Ra
Rb
1m
1 m
Young's modulus of the beam is 80 GPa.
Calculate the second moment of area, I, in m* in the form a x 10 0 where the number a is correct to two decimal places.
I:
x10 m4
Calculate the maximum bending moment, M, in kilonewtonmetres (kNm):
M:
kNm
Calculate the maximum bending stress, o, in megapascals (MPa) correct to two decimal places.
MPa

Hence, calculate the maximum compressive strain, ɛ,
Enter your answer in micro-strain correct to two decimal places:
micro-strain

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