*4-76 The C83400-red-brass rod AB and 2014-T6-alu-minum rod BC are joined at the collar B and fixed connectedat their ends. If there is no load in the members when T₁ =50°F, determine the average normal stress in each memberwhen T₂ = 120°F. Also, how far will the collar be displaced?The cross-sectional area of each member is 1.75 in².3 ftB2 ftC

Given below solution-Explanation:

Answered: *4-76 The C83400-red-brass rod AB and…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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QUESTION 2 The C83400-red-brass rod AB and 2014-T6- aluminum 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 in? 3 ft 2 ft
The C83400-red-brass rod AB and 2014-T6- aluminum 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
4.1 The aluminum rod AB (Gal = 27 GPa) is bonded to the brass rod BD (Gbr = 39 GPa). The portion CD of the brass rod is hollow and has an inner diameter of 40 mm. If the allowable shear stresses for the aluminum and brass are 90 MPa and 70 MPa, respectively, and the allowable angle of twist of the free end A is 6 degrees, determine the maximum permissible value of T.
The solid cylinders AB and BC are bonded together at B and are attached to fixed supports at A and C. Knowing that the modulus of rigidity is 3.7E6 psi for aluminum and 5.6E6 psi for brass, determine the maximum shearing stress in cylinder AB And cylinder BC in ksi. 1 Aluminum T= 19.6 kip-in. Brass A - 1.4 in. B <-2.1 in. C 10 in. 15 in.
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
The rigid bar AB, attached to two vertical rods as shown in Fig. is horizontalbefore the load P is applied. Determine the maximum value for P If the stress must not exceed: 160 MPa for steel and 80 MPa for Bronze. Then determine the vertical movement of P. STEEL Lm A-400 mm E-200 GPa BRONZE L-5m A-500 mm E-80 GPa 3m
3. The rigid bar weighs 5 kN/m, is supported as shown. The assembly is initially stress-free. Find the stress in each rod if the temperature rises 20°C after a load W = 150 kN is applied. A (mm?) a (FC) E (GPa) Steel rod 300 11.7 x 10-6 200 Bronze rod 1400 18.9 x 10-6 83 Bronze | 3 m Steel 1.5 m ►| 1.0 m 2.5 m 2 m W
Compound axial member ABC has a uniform diameter of d = 1.25 in. • Segment (1) is an aluminum [E1 = 10000 ksi] alloy. The length of segment (1) is L1 = 100 in. %3D Segment (2) is a copper [E2 = 17000 ksi] alloy. The length of segment (2) is L2 = 140 in. %3D When axial force Pis applied, a strain gage attached to copper segment (2) measures a normal strain of ɛ2 = 1500 uin./in. in the longitudinal direction. What is the total elongation of member ABC? L1 P L2 A Aluminum В d Copper c'P Answer: AL = in. %3D
Compound axial member ABC has a uniform diameter of d = 1.25 in. • Segment (1) is an aluminum [E1 = 10000 ksi] alloy. The length of segment (1) is L1 = 100 in. • Segment (2) is a copper [E2 = 17000 ksi] alloy. The length of segment (2) is L2 = 140 in. When axial force Pis applied, a strain gage attached to copper segment (2) measures a normal strain of ɛ2 = 2300 uin./in. in the longitudinal direction. What is the total elongation of member ABC? L2 (1) Aluminum B (2) Copper Answer: in, AL = i
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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

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