The composite shaft, consisting of aluminum, copper, and steel sections, is subjected to the loading shown. Determine the displacement of B with respect to C and the normal stress in each section. The cross-sectional area and modulus of elasticity for each section are shown in the figure. Neglect the size of the collars at B and C. Aluminum Eal = 70 GPa AAB = 58 mm² 9 kN A Copper Ecu = 126 GPa ABC = 77 mm² 450 mm B 16 kN 16 kN -300 mm- Steel Est = 200 GPa ACD= 39 mm² 8 kN 8 kN 400 mm D 7 kN

The composite shaft, consisting of aluminum, copper, and steel sections, is subjected to the loading shown. Determine the displacement of B with respect to C and the normal stress in each section. The cross-sectional area and modulus of elasticity for each section are shown in the figure. Neglect the size of the collars at B and C. Aluminum Eal = 70 GPa AAB = 58 mm² 9 kN A Copper Ecu = 126 GPa ABC = 77 mm² 450 mm B 16 kN 16 kN -300 mm- Steel Est = 200 GPa ACD= 39 mm² 8 kN 8 kN 400 mm D 7 kN

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

1.
The composite shaft, consisting of aluminum, copper,
and steel sections, is subjected to the loading shown.
Determine the displacement of B with respect to C and the
normal stress in each section. The cross-sectional area and
modulus of elasticity for each section are shown in the figure.
Neglect the size of the collars at B and C.
Aluminum
Eal = 70 GPa
AAB = 58 mm²
9 kN
A
Copper
Ecu = 126 GPa
ABC = 77 mm²
450 mm
16 kN
斤。
16 kN
-300 mm
BL
Steel
Est = 200 GPa
ACD = 39 mm²
8 kN
8 kN
-400 mm
7 kN

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