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

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter2: Axially Loaded Members
Section: Chapter Questions
Problem 2.4.23P: A trimetallic bar is uniformly compressed by an axial force P = 9 kips applied through a rigid end...
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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
Transcribed Image Text: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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