*4-76 The C83400-red-brass rod AB and 2014-T6-alu- minum rod BC are joined at the collar B and fixed connected at their ends. If there is no load in the members when T₁ = 50°F, determine the average normal stress in each member when T₂ = 120°F. Also, how far will the collar be displaced? The cross-sectional area of each member is 1.75 in². 3 ft B 2 ft C

02. The member consists of the steel rod AB that is screwed into the end of the bronze rod BC. Find the largest value of P that meets the following design criteria: (i) the overall length of the member is not to change by more than 3 mm; and (ii) the stresses are not to exceed 140 MPa in steel and 120 MPa in bronze. The moduli of elasticity are 200 GPa for steel and 80 GPa for bronze. Steel A = 480 mm² 1.0 m SUMMARY OF ANSWERS P kN |B 3P Bronze 2 m A= 650 mm? |c 2P

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The member consists of the steel rod AB that is screwed into the end of the bronze rod BC. Find the largest value of P that meets the following design criteria: (i) the overall length of the member is not to change by more than 3 mm; and (ii) the stresses are not to exceed 140 MPa in steel and 120 MPa in bronze. The moduli of elasticity are 200 GPa for steel and 80 GPa for bronze

Compound axial member ABC has a uniform diameter of d = 1.50 in. Segment (1) is an aluminum [E1 = 10000 ksi] alloy. The length of segment (1) is L1 = 80 in. • Segment (2) is a copper [E2 = 17000 ksi] alloy. The length of segment (2) is L2 = 112 in. When axial force P is applied, a strain gage attached to copper segment (2) measures a normal strain of ɛ2 = 1700 pin./in. in longitudinal direction. What is the total elongation of member ABC? L2 (1) d Aluminum В (2) Сopper

A The member consists of the steel rod AB that is screwed into the end of the bronze rod BC. Find the largest value of P that meets the following design criteria: (i) the overall length of the member is not to change by more than 3 mm; and (ii) the stresses are not to exceed 140 MPa in steel and 120 MPa in bronze. The moduli of Problem 4: Steel A= 480 mm? 1.0 m B elasticity are 200 GPa for steel and 80 GPa for bronze. Problem 5: The compound bar carries the axial forces P and 2P. Find the maximum allowable value of P if the working stresses are 40 ksi for steel and 20 ksi for alumi- num, and the total elongation of the bar is not to exoceed 0.2 in. 3P Bronze A= 650 mm 2 m 3 ft 4 ft 2P Steel A = 0,4 in.2 E = 29 × 10° psi 2P Aluminum A = 0.6 in.2 E= 10 x 10° psi

3) The rigid link is supported by steel wire (1) with an unstretched length of 200 mm and cross-sectional area of 22.5 mm?. Member (2) is a short aluminum of initial length 50 mm and cross-sectional area of 40 mm?. The modulus of elasticity of the steel wire is 200 GPa and the aluminum block is 70 GPa. a) Draw the deflected shape of the rigid member and clearly label the deformation of members (1) and (2). b) Write the equilibrium and compatibility equations needed to solve the problem along with the supporting sketches. Hint: Be sure to carefully consider if the members are elongating or shortening; this must be represented mathematically. c) Calculate the internal forces in both axial members and clearly indicate tension or compression. [Ans. to Check: F2 = 535 N]

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Draw free body diagram