The 10-mm-diameter steel bolt is surrounded by a bronze sleeve in (Figure 1). The outer diameter of this sleeve is 20 mm, and its inner diameter is 10 mm. If the yield stress for the steel is (σY)st=680MPa, and for the bronze (σY)br=490MPa, determine the magnitude of the largest elastic load P that can be applied to the assembly. Est=200GPa, Ebr=100GPa.Express your answer to three significant figures and include appropriate units. The image displays a cylindrical component subjected to axial force, represented by "P," applied at both ends. The component contains an outer cylinder and an inner cylinder, coaxial with the same axis.- The outer diameter of the component measures 20 mm.- The inner diameter of the component measures 10 mm.The arrows labeled "P" indicate the direction of the applied force. The component is likely analyzed for stress distribution, deformation, or structural integrity under these axial loads, relevant in the context of solid mechanics or materials engineering.

Given:Diameter of steel bolt, ds=10 mmouter diameter of sleeve, D=20 mmyield stress for the steel, σst=680 MPayield stress for the bronze, σbr=490 MPaEst=200 GPaEbr=100 GPaTaking equilibrium in y-direction,taking all tensile force positive,taking all compressive force negative,∑ Fy=0,P+Pb+Ps=0 , equation 1∆steel=∆brassPsLπ4×0.012×200×109=PbLπ4×0.022-0.012×100×109Ps=0.667Pb , equation 2Pb=σb×AbPb=490×106×π4×0.022-0.012Pb=115453.53 Nso from equation 2,Ps=77007.505 NPut all the values in equation 1,P+115453.53+77007.505=0P=-192461.035 N P=192.461 kN , compressive force

Answered: The 10-mm-diameter steel bolt is…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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The 10-mm-diameter steel bolt is surrounded by a bronze sleeve in (Figure 1). The outer diameter of this sleeve is 20 mm, and its inner diameter is 10 mm.

If the yield stress for the steel is (σY)st=680MPa, and for the bronze (σY)br=490MPa, determine the magnitude of the largest elastic load P that can be applied to the assembly. Est=200GPa, Ebr=100GPa.

Express your answer to three significant figures and include appropriate units.

The image displays a cylindrical component subjected to axial force, represented by "P," applied at both ends. The component contains an outer cylinder and an inner cylinder, coaxial with the same axis.

- The outer diameter of the component measures 20 mm.
- The inner diameter of the component measures 10 mm.

The arrows labeled "P" indicate the direction of the applied force. The component is likely analyzed for stress distribution, deformation, or structural integrity under these axial loads, relevant in the context of solid mechanics or materials engineering.

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