The hollow shaft shown is made of a steel that is assumed to be elastoplastic with Ty= 145 MPa and G=77.2 GPa. The magnitude T of the torques is slowly increased until the plastic zone first reaches the inner surface of the shaft; the torques are then removed. Determine the permanent angle of twist of the rod. Take L = 6 m. 60 mm 25 mm The permanent angle of twist of the rod is

The hollow shaft shown is made of a steel that is assumed to be elastoplastic with Ty= 145 MPa and G=77.2 GPa. The magnitude T of the torques is slowly increased until the plastic zone first reaches the inner surface of the shaft; the torques are then removed. Determine the permanent angle of twist of the rod. Take L = 6 m. 60 mm 25 mm The permanent angle of twist of the rod is

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

The assembly shown in figure below consists of a light rigid bar AB, pinned at O, that is attached to the steel and aluminum rods. In the position shown, bar AB is horizontal and there is a gap, A = 5 mm, between the lower end of the steel rod and its pin support at C. Compute the stress in the aluminum rod when the lower end of the steel rod is touch to its support. A 0.75 m Steel A = 250 mm E = 200 GPa *i* O 1.5 m Aluminum L = 2m A = 300 mm' E = 70 GPa B D
1. The column in the figure shown has a strain on its compressive edge equal to -0.003 and has a tensile strain of +0.00185 on its other edge. Detemine the nominal values of Pn and Mn that cause this strain distribution if f'c = 21 MPa, fy = 414 MPa. Draw the column interaction diagram. en 600 Pn mm 8 - 6 32mm 75 225 225 75 600
Problem II. An exhaust gas piping fabricated as shown is subjected to a bending moment, an internal pressure, and a torque. In points A and B, the following stresses occur due to the loading: o 63.5 MPa, B=127 MPa, = 127 MPa A.B A.B a. Determine Gmin, omax, and its direction (in degrees) from x-axis at point A. b. Determine omin, omax, and its direction (in degrees) from x-axis at point B. 1 B d O A x
A thin polymer plate PQR is deformed so that corner Q is displaced downward 0.9 mm to new position Q', as shown in. Determine the shear strain at Q' associated with the two edges (PQ and QR). Assume a = 150 mm, b = 216 mm, c = 180 mm, and A = 0.9 mm. a b P R C Answer: Shear strain y = Q i A X urad.
Three aluminum rods support the rigid L-shaped bracket BCF as shown in the figure. Determine the stress in rod DE (express answer in MPa) if rod FG is cooled by 50°C. All three rods have the same cross-sectional area of 1000 mm^2. Use 73.1 GPa and 23 x 10^-6/°C for the modulus of elasticity and the coefficient of thermal expansion of aluminum, respectively.
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
Q1. An aluminum rod is rigidly attached between a steel rod bronze rod as shown in figure. Axial loads are applied at the positions indicated. Find the maximum value of P that will n exceed a stress in steel of 90 MPa, in aluminum of 140 MPa bronze of 120 MPa. Aluminum Вronze A= 300 Steel A=100 A=200 ЗР 2P 5P 2.5m 2.0 m 1.5 m
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 Steel core r=15mm G=78 GPa bross cylinder ro=20mm (outer diameter) G=39 GPa
1. An axial force of 250 kN is applied to the assembly shown, made of cylindrical brass core surrounded by an aluminum shell. The axial force is applied through rigid end plates. a) Determine the normal stress in each of the metal components, given that Ebrass = 105 GPa and Ealum = 70 GPA. 100mm b) What is the axial deformation of the assembly? 200mm 200mm
A steel rectangular block is subjected to a uniform stress of o = 150 MPa acting on all faces. The dimensions of the block are as follows: L_x=100 mm,L_y=30 mm,L_z=40 mm. Determine the change in length along the y-axis. Use E = 200 GPa and v 0.3. Note that ɛ_0=-o/E(1+2v). A -0.03 mm -0.015 mm -0.009 mm -0.012 mm
Three aluminum rods support the rigid L-shaped bracket BCF as shown in the figure. Determine the stress in rod DE (express answer in MPa) if rod FG is cooled by 50°C. All three rods have the same cross-sectional area of 1000 mm^2. Use 73.1 GPa and 23 x 10^-6 /°C for the modulus of elasticity and the coefficient of thermal expansion of aluminum, respectively.
The composite shaft shown in the figure consists of a bronze sleeve (1) securely bonded to an inner steel core (2). The bronze sleeve has an outside diameter of 40 mm, an inside diameter of 30 mm, and a shear modulus of G1 = 44 GPa. The solid steel core has a diameter of 30 mm and a shear modulus of G2 = 84 GPa. Assume L = 360 mm. The composite shaft is subjected to a torque of T= 820 N-m. Determine (a) the maximum shear stresses in the bronze sleeve and the steel core. (b) the rotation angle of end B relative to end A. A T T (1) B Answers: (a) T1 = MPа MPa 72 = (b) PBIA = rad (2)