The diagram illustrates a rod composed of three different materials: 304 Stainless Steel, 86100 Bronze, and 2014-T6 Aluminum. Each section is labeled with its respective length and diameter:- **304 Stainless Steel Section:** - Length: 3 inches - Diameter: 0.5 inches- **86100 Bronze Section:** - Length: 8 inches - Diameter: 1 inch- **2014-T6 Aluminum Section:** - Length: 12 inches - Diameter: 1.5 inchesThe schematic additionally details the average normal stress in the rod when the temperature changes by 100 degrees Fahrenheit. For each material, a clear distinction is made regarding the modulus of elasticity (in psi × 10^6) and the coefficient of thermal expansion (in units of 10^-6/°F):- **Aluminum:** - Modulus of Elasticity: 10.6 x 10^6 psi - Coefficient of Thermal Expansion: 12.8 x 10^-6/°F- **Bronze:** - Modulus of Elasticity: 15 x 10^6 psi - Coefficient of Thermal Expansion: 9.6 x 10^-6/°F- **Copper:** - Modulus of Elasticity: 17.3 x 10^6 psi - Coefficient of Thermal Expansion: 10.9 x 10^-6/°FThe assembly's support conditions are represented in the figure, indicating fixed connections that secure the rod during temperature variations. This diagram is crucial for understanding the mechanical behavior and thermal response of composite material assemblies.

Free body diagram of the given problem:

Answered: The assembly has the diameters 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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A circular bar of magnesium alloy is 390 mm long. The stress-strain diagram for the material is shown in the figure. 70 63 56 49 O (MPa) 42 35 28 21 14 7 0.002 0.004 0.006 0.008 0.01 The bar is loaded in tension to an elongation of 2.34 mm, and then the load is removed. Hint: Use the concepts illustrated in the figures below. (Assume the curve in the figure above is linear between (0, 0) and (0.001, 28), and curves with a gradually decreasing slope otherwise.) F В E F Loading CD Loading Residual Elastic strain recovery (a) What is the permanent set of the bar (in mm)? 2.184 X mm (b) If the bar is reloaded, what is the proportional limit (in MPa)? 55 X MPa
2. A steel bar, whose cross section is 0.55 inch by 4.05 inches, was tested in tension. An axial load of P = 30,500 lb. produced a deformation of 0.105 inch over a gauge length of 2.05 inches and a decrease of 0.0075 inch in the 0.55-inch thickness of the bar. Determine the lateral strain. * Your answer Determine the axial strain. Your answer Determine the Poisson's ratio v. * Your answer Determine the decrease in the 4.05-in. cross-sectional dimension (in inches). * Your answer
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The following shaft is composed of two materials, both rigidly bonded. The data is provided in the table: Determine: The maximum torque that can be applied based on the maximum stresses of each material. The total deformation of the shaft with the torque from the previous section. The maximum torque that can be applied if the maximum deformation of the shaft is 2.50 rad.
An aluminum rod is rigidly attached between a steel rod and a bronze rod as shown below. Axial loads are applied at the positions indicated. Find the maximum value of P in Newton that will not exceed a stress in steel of 150 MPa, in aluminum of 87 MPa, or in bronze of 97 MPa.
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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?
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Knowing that a 0.02in gap exists when the temperature is 75°F, determine (a) the temperature at which the normal stress in the aluminum bar will be equal to -11ksi, (b) the corresponding exact length (2 decimal places in 103 inches) of the aluminum bar. 0.02 in. 14 in. Bronze A = 2.4 in² E = 15 × 106 psi a = 12 x 10-6/°F 18 in. Aluminum A = 2.8 in² E = 10.6 × 106 psi a = 12.9 x 10-6/°F
Data taken from a stress-strain test for a brittle alloy are given in the table. The curve is linear between the origin and the first point. o (ksi) e (in./in.) 0 0 44.8 0.0008 54.0 0.0013 57.5 0.0017 59.5 0.0021 60.0 0.0023 Part A Determine approximately the modulus of toughness. The rupture stress is o, 30.0 ksi. Express your answer in inch-pounds per cubic inch as an integer. VAE Ivec U Submit Provide Feedback Request Answer in-lb/in³
X Your answer is incorrect. An extruded polymer beam is subjected to a bending moment M. The length of the beam is L = 620 mm. The cross-sectional dimensions of the beam are b1 = 39 mm, d1 = 82 mm, b2 = 23 mm, dɔ = 23 mm, and a = 8 mm. For this material, the allowable tensile bending stress is 20 MPa, and the allowable compressive bending stress is 12 MPa. Determine the largest moment M that can be applied as shown to the beam. b2 a d2 y A B b1 Answer: M = 412.360 N•m Attempts: 2 of 3 used

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