7. Three rods of different materials are connected as shown in the figure. (a) Determine the maximum safe load P in kN if the total deformation is limited to 5 mm. Using the value of P from the previous item, (b) determine the normal stress developed in the bronze rod, steel rod, and aluminum rod. Express your answers in MPa. Use Est = 200 GPa, Eal = 83 GPa, and Ebr = 70 GPa. Steel Bronze Aluminum A = 500 mm? A = 600 mm? A = 300 mm? P 4P 5P 2P 1.0 m 2.0 m 1.5 m

7. Three rods of different materials are connected as shown in the figure. (a) Determine the maximum safe load P in kN if the total deformation is limited to 5 mm. Using the value of P from the previous item, (b) determine the normal stress developed in the bronze rod, steel rod, and aluminum rod. Express your answers in MPa. Use Est = 200 GPa, Eal = 83 GPa, and Ebr = 70 GPa. Steel Bronze Aluminum A = 500 mm? A = 600 mm? A = 300 mm? P 4P 5P 2P 1.0 m 2.0 m 1.5 m

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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At a temperature of 27.89 °C a 0.41-mm gap exists between the ends of the rods shown. At a later time when the temperature has reached 126.64°C, determine the magnitude of the normal stress (in MPa) in the steel rod if L = 320.36 mm and M = 231 mm. Round off the final answer to four decimal places. d ... M A B Aluminum Stainless steel A = 2000 mm² E = 75 GPa a = 23 × 10-6/C A = 800 mm² E = 190 GPa %3D a = 17.3 × 10-6/°C
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3) An bronze rod is rigidly attached between a aluminum rod and a steel rod as shown. Axial loads are applied at the positions indicated. Find the maximum allowable value of P that will not exceed a stress in steel of 140MPA, in aluminum of 90MPA or in bronze of 100MPа. Aluminum A = 500mm? Bronze A = 200mm? Steel A = 150mm2 2P ЗР L st = 1.2m L br = 2m Lal = 3.5m
Normal stress is calculated dividing the reaction by the cross-sectional area. Is this approach valid for any point of a structural member? Why or why not? To answer this question, consider the loading point, cross- sectional shape, etc.
A rigid bar of negligible weight is supported and loaded with 70 kN, compute the temperature change AT (°C) that will cause the stress in the bronze rod (L = 1.5 m, A = 300 mm?, and E = 83 GPa) to be 50 MPa. Assume a = 18.9 µm/(m°C) for bronze and 12.8 um/(m°C) for aluminum (L = 3 m, A = 750 mm2, and E = 70 GPa). Aluminum Bronze 2.5 m 1.5 m 70 kN
3. An aluminum rod is rigidly attached between a steel rod and a bronze rod as shown in the figure. Axial loads are applied at the positions indicated. Find the maximum value of P that will not exceed a stress in steel of 140 MPa, in aluminum of 13.05 ksi, or in bronze of 100 MPа. Aluminum A = 400 mm? Bronze A = 200 mm Steel A = 500 mm? 2P 4D 2.5 m 2.0 m 1.5 m
Problem 1 An aluminum rod is rigidly attached between a steel rod and a bronze rod as shown. Axial loads are applied at the positions indicated. Aluminum Steel A=800mm2 A=1000mm2 Bronze A=700mm? 4P 2P 500mm 600mm 700mm 1. What is the maximum value of P that will not exceed the axial stress bronze of 105 MPa? 2. What is the maximum value of P that will not exceed the axial stress in aluminum of 90 MPa? 3. If P=10KN, what is the axial force to be carried by the aluminum in KN? 4. If P is 5KN, what is the axial stress of steel?
Normal stress is calculated dividing the reaction by the cross-sectional area. Is this approach valid for any point of a structural member? Why or why not? To answer this question, consider the loading point, cross- sectional shape, etc.
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A brass alloy rod having a cross sectional area of 0.24 in.2and a modulus of 16 * 106 psi is subjected to a tensile load. Plastic deformation was observed to begin at a load of 8,944 lb.a. Determine the maximum stress that can be applied without plastic deformation.b. If the maximum length to which a specimen may be stretched without causing plastic deformation is 3.28 in., what is the original specimen length?
2. Given a 5 mm diameter steel wire, which is 4 meters long, carries an axial tensile load P. Find the maximum safe value of P if the deformation of the wire is limited to 5.5 mm and the allowable normal stress of the wire is 280 MPa. Use 200 000 MPa for the modulus of elasticity of steel.
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