The rigid bar 2 m long is supported by a steel rod at the middle B and bronze rods equidistant from both ends at A and C as shown. The properties of the rods are given in the tabulation below.   Steel Bronze Allowable stress 140 MPa 120 MPa Modulus of Elasticity, E 200 GPa 83 GPa Area, A 400 mm2 900 mm2 Length, L   1,000 mm What is the required length of the steel rod so the reactions on the three rods are the same? What is the required length of the steel rod so that both the steel and the bronze rods reach their allowable stresses at the same time? What is the maximum permissible load W that the rods can carry?

Materials Science And Engineering Properties
1st Edition
ISBN:9781111988609
Author:Charles Gilmore
Publisher:Charles Gilmore
Chapter6: Introduction To Mechanical Properties
Section: Chapter Questions
Problem 6.2DP
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The rigid bar 2 m long is supported by a steel rod at the middle B and bronze rods equidistant from both ends at A and C as shown. The properties of the rods are given in the tabulation below.

 

Steel

Bronze

Allowable stress

140 MPa

120 MPa

Modulus of Elasticity, E

200 GPa

83 GPa

Area, A

400 mm2

900 mm2

Length, L

 

1,000 mm

What is the required length of the steel rod so the reactions on the three rods are the same?

What is the required length of the steel rod so that both the steel and the bronze rods reach their allowable stresses at the same time?

What is the maximum permissible load W that the rods can carry?

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