6 - A circular shaft is composed of a steel core and a brass covering, as shown in the figure. Under the applied torque, what is the maximum shear stress in each material? The composite shaft is attached to a wall at A. B O →→→T=5 KN•m bross cylinder ro=20mm (outer diameter) Steel core r=15mm G=78 GPa G=39 GP₂"

6 - A circular shaft is composed of a steel core and a brass covering, as shown in the figure. Under the applied torque, what is the maximum shear stress in each material? The composite shaft is attached to a wall at A. B O →→→T=5 KN•m bross cylinder ro=20mm (outer diameter) Steel core r=15mm G=78 GPa G=39 GP₂"

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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Similar questions

6
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
(a) 128.5 GPa circular rod of diameter 30 mm and length 200 mm is subjected to a tensile force. The axtension of rod is 0.09 mm and change in diameter is 0.0045 mm. What is the Poisson's ratio of the material of the rod? (a) 0.35 (b) 0.33 (c) 0.32 (d) 0.30
P = 300N ، a=140mm , b=240mm , d=26mm
3. The material is subjected to biaxial loading producing uniform normal stress ox and o, as shown. The strains are e, = -0.00065 and e, = -0.00040. Use E = 207 GPa and v = 0.35. Determine the following: (a) oz. Indicate tension or compression. Use 2 decimal places. (b) ơy. Indicate tension or compression. Use 2 decimal places. (c) Change in the thickness of the material. Indicate elongation or contraction. Use 5 decimal places and scientific notation of x 10-3 (Example: . (25 pts) x 10-3) y Oy x. Oy t = 16 mm
2.27. The stress components at a given point in an engineering component are es- timated to be oxy=4.1 ksi, ơyy=0 ksi, ơz =0.9 ksi, ory =-3.1ksi, ơyz = 1.2 ksi, Ozx =0 ksi. Estimate the factor of safety against yielding using von Mises' theory if the uniaxial yield stress of the material is Sy =17.2 ksi.
a. At a point in a given material the three dimensional state of stress is given by ox = oy oz = 10 MPa ,Txy F 20 MPa, Tyz = %3D !! TXZ = 10 MPa. Compute the principle planes if the corresponding principles stresses are, ol = 37.3 MPa, c2 = 10MPA, o3 =2.7 MPa %3D %3D b. , What no
A circular aluminum alloy [E = 70 GPa; α = 22.5 × 10–6/°C; ν = 0.33] pipe has an outside diameter of 225 mm, a wall thickness of 15 mm, and a length of 5.0 m. The pipe supports a compressive load of 670 kN. After the temperature of the pipe drops 48°C, determine: (a) the axial deformation of the pipe. (b) the change in diameter of the pipe.