H.W/ A trimetallic bar is uniformly compressed by an axial force P = 40 KN applied through a rigid end plate (see Figure). The bar consists of a circular steel core surrounded by brass and copper tubes. The steel core has diameter 31.75 mm, the brass tube has outer diameter 44.45 mm, and the copper tube has outer diameter 57.15 mm. The corresponding moduli of clasticity are E= 206.8 GPa, Er = 110.3 GPa, and Ecu = 124.1 GPa. Calculate the compressive stresses ost, Obr and ocu in the steel, brass, and copper, respectively, due to the force P. Copper tube Brass tube 40KN Steel core 31.75 mm 44.45 mm 57.15 mm

H.W/ A trimetallic bar is uniformly compressed by an axial force P = 40 KN applied through a rigid end plate (see Figure). The bar consists of a circular steel core surrounded by brass and copper tubes. The steel core has diameter 31.75 mm, the brass tube has outer diameter 44.45 mm, and the copper tube has outer diameter 57.15 mm. The corresponding moduli of clasticity are E= 206.8 GPa, Er = 110.3 GPa, and Ecu = 124.1 GPa. Calculate the compressive stresses ost, Obr and ocu in the steel, brass, and copper, respectively, due to the force P. Copper tube Brass tube 40KN Steel core 31.75 mm 44.45 mm 57.15 mm

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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H.W/ A trimetallic bar is uniformly compressed by an axial force P= 40 KN applied
through a rigid end plate (see Figure). The bar consists of a circular steel core
surrounded by brass and copper tubes. The steel core has diameter 31.75 mm, the
brass tube has outer diameter 44.45 mm, and the copper tube has outer diameter 57.15
mm. The corresponding moduli of elasticity are E 206.8 GPa, Ear = 110.3 GPa,
and E.u = 124.1 GPa. Calculate the compressive stresses ost, Obr and ocu in the steel,
brass, and copper, respectively, duc to the force P.
Copper tube Brass tube
P-40KN
Steel care
31.75
mm
44.45
mm
57.15
mm

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