Please show all the work! Thank you very much! Will rate. (Please read the image) (note: problem statically indeterminate.) If the solid shaft is made from red brass C83400 having anallowable shear stress of Tallow 4 ksi, determine themaximum allowable torque T that can be applied at B.2ft12 in.SOLUTIONEquilibrium: Referring to the free-body diagram of the square bar shown in Fig. a.we haveEM, 0, TA+Te-T-0(1)

Answered: If the solid shaft is made from red…

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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2) The shaft shown consists of a steel tube (1) bonded to a brass core (2). The shear modulus of steel is 11,400 ksi and the shear modulus of brass is 5,200 ksi. A torque is applied at A. The radius of the brass core is 0.5 in. The outer radius of the steel tube is 1 in. a) Write the equilibrium and compatibility equation(s) needed to solve the problem along with supporting sketches. b) Use your equilibrium and compatibility equations two develop two new equations. The first will be a symbolic relationship between the applied torque, T, and the internal torque in the steel (Tsteel). The second will be a symbolic relationship between the applied torque, T, and the internal torque in the brass (Tbrass). [Ans. to Check: Tsteel = 0.97T and Tbrass = 0.0295T] c) Assume the allowable shear stress in the steel tube is 2,000 psi. Calculate the maximum allowable torque you could apply to the steel (Tsteel) in k-in. Then, use the equation from part (b) to compute how much torque you could have in…
The shaft shown consists of a steel tube (1) bonded to a brass core (2). The shear modulus of steel is 11,400 ksi and the shear modulus of brass is 5,200 ksi. A torque is applied at A. The radius of the brass core is 0.5 in. The outer radius of the steel tube is 1 in.a) Write the equilibrium and compatibility equation(s) needed to solve the problem along with supporting sketches.b) Find a symbolic relationship between the applied torque, T, and the internal torques.c) Assume the allowable shear stress in the steel tube is 2,000 psi. Calculate the maximum torque you could apply to the system in k-in.
The shaft AB is formed by bonding steel tube and a brass core. Outer diameter of the steel tube is 60 mm and the diameter of the brass core is 30 mm. The shaft is subjected to uniform distributed torque o t kNm/m. The allowable shear stresses for steel and brass are (Tsteel)all = 80 MPa and (Tbrass)all = 50 MPa, respectively. Determine a) the maximum value of the uniform torque t , b) the corresponding angle of twist at A. (The shear modulus for steel and brass are Gsteel = 77 GPa and Gbrass = 40 GPa, respectively) - Steel Tube A t kNm/m B 30 mm 15 mm 1 m 1 m Brass Core Cross Section
The stepped steel shaft carries the torque T. Determine the maximum allowable magnitude of T if the working shear stress is 22 MPa and the rotation of the free end is limited to 5.2°. Use G = 83 GPa for steel. Provide FBD T 80 mm 60 mm 4 m 3 m
DYNAMICS OF RIGID BODIES problem Show complete solution.
The shaft is made from a solid steel section AB and a tubular portion made of steel and having a brass core. If it is fixed to a rigid support at A, and a torque of T = 50 lb.ft is applied to it at C, determine the rotation angle that occurs at C relative to A and compute the maximum shear stress and maximum shear strain in the brass and steel. Take Gst = 11500 ksi, Gbr 5600 Ksi. %3D 3 ft 2 ft 0.5 in. 1 in. T 50 Ib-ft
A compound shaft consists of brass segment (1) and aluminum segment (2). Segment (1) is a solid brass shaft with an allowable shear stress of 25 MPa. Segment (2) is a solid aluminum shaft with an allowable shear stress of 60 MPa. If a torque of Tc = 8,500 N-m is applied at C, determine the minimum required diameter of the brass shaft (1). (2) B O 89.9 mm O 112.3 mm O 165.4 mm O 138.1 mm O 120.1 mm
3) -Steel The allowable shearing stress is 15 ksi in the steel rod AB and 8 ksi in the brass rod BC. Knowing that a torque of magnitude T = 10 kip - in. is applied at A, determine the required diameter of (a) rod AB, (b) rod BC. B Brass
The solid 60 mm diameter bent rod is fixed at O and is made of AISI 1035 HR steel. For the loading shown, determine the factor of safety against yielding at the location of ELEMENT H using; a) the Maximum Shear Stress theory and, b) the Henky-Von Mise, Distortion Energy theory. NOTE: All dimensions in mm. Fy = 6 kN 100 450 B Fx = 10 kN H 0 H 150 700 K y
The shaft is made from a solid steel section AB and a tubular portion made of steel and having a brass core. If it is fixed to a rigid support at A, and a torque of T 50 lb.ft is applied to it at C, determine the rotation angle that occurs at C relative to A and compute the maximum shear stress and maximum shear strain in the brass and steel. Take Gst = 11500 ksi, Gbr 5600 Ksi. %3D %3D 3 ft 2 ft 0.5 in. 1 in. T = 50 lb ft
A compound shaft consists of brass segment (1) and aluminum segment (2). Segment (1) is a solid brass shaft with an allowable shear stress of 62 MPa. Segment (2) is a solid aluminum shaft with an allowable shear stress of 85 MPa. If a torque of Tc = 20400 N-m is applied at C, determine the minimum required diameter of the brass shaft d₁ and the aluminum shaft d₂. Tc Answers: d₁ d₂ = i = i (2) C B mm mm
The steel hollow shaft is rigidly attached to a solid bronze shaft by a bolt coupling. A maximum torque T can be applied to the ends of the shaft without failure. Use G = 83 GPa for steel and G = 35 GPa for bronze. T 100 mm 70 mm 70 mm 1.5 m 2 m T Determine the maximum torque T in kN m without exceeding a shear stress of 70 MPa in steel and 50 MPa for bronze. A) 10.44 Determine the maximum torque T in kN m without exceeding an angle of twist of 2.5° in the 3.5-m length. B) 9.82 C) 8.56 D) 7.35 A) 1.20 Determine the number of 16 mm bolts required to attach the two shafts if the В) 13.51 C) 2.40 D) 12.68 3. allowable shear stress in each bolt is 30 MPa and the diameter of bolt circle is 150 mm. A) 4 B) 5 C) 6 D) 7 1. 2.

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If the solid shaft is made from red brass C83400 having an allowable shear stress of Tallow 4 ksi, determine the maximum allowable torque T that can be applied at B. 2ft 12 in. SOLUTION Equilibrium: Referring to the free-body diagram of the square bar shown in Fig. a. we have EM, 0, TA+Te-T-0 (1)