3. A propeller shaft is made up of solid steel bar d in diameter. Shear modulus of elasticity is 80000 MPa.a. Determine the max. torque that can be applied to the shaft so that it will not exceed the allowable shearstress of 50 MPa.b. Determine the max. torque that can be applied to the shaft so that it will not exceed the allowable rateof twist is 2° in 3m.c. Determine the torsional stiffness of the steel bar.D= 300 (mm)

The general torsion equation is: TIp=τr=GθL here, T : torque applied on the shaft IP : polar moment…

Answered: . A propeller shaft is made up of solid…

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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Activity 3 Questions WHAT'S YOUR SCORE? Two forces, each of magnitude P, are applied to the wrench. The diameter of the steel shaft AB is 15 mm. Determine the largest allowable value of P if the shear stress in the shaft is not to exceed 120 MPa and its angle of twist is limited to 5º. Use G = 80 GPa for steel. (Note: Two values of P are to be compared here). 300 mm 500 mm
A bronze pipe (1) is to be connected to an aluminum alloy pipe (2) at flange B. When put in place, however, a gap of A = 0.25 in. exists between the two pipes. Bronze pipe (1) has an elastic modulus of E, = 16,000 ksi, a cross-sectional area of A, = 2.83 in.?, and a length of L1 = 6.9 ft. Aluminum alloy pipe (2) has an elastic modulus of E2 = 10,000 ksi, a cross-sectional area of A2 = 1.47 in.2, and a length of L2 = 12.0 ft. If bolts are inserted in the flanges and tightened so that the gap at B is closed, determine: (a) the normal stresses produced in each of the members. (b) the final position of flange B with respect to support A. L2 В (1) Answer: (a) σ1- ksi 02 = ksi (b) OB/A = in.
The compound shaft consists of a solid aluminum segment (1) and a hollow brass segment (2) that are connected at flange B and securely attached to rigid supports at A and C. Aluminum segment (1) has a diameter of 0.95 in., a length of L1 = 50 in., a shear modulus of 3800 ksi, and an allowable shear stress of 6.7 ksi. Brass segment (2) has an outside diameter of 0.85 in., a wall thickness of 0.13 in., a length of L2 = 38 in., a shear modulus of 6400 ksi, and an allowable shear stress of 8.0 ksi. Determine:(a) the allowable torque TB that can be applied to the compound shaft at flange B.(b) the magnitudes of the internal torques in segments (1) and (2).(c) the rotation angle of flange B (relative to support A) that is produced by the allowable torque TB.
Q4 (b) Figure Q4(a) shows a steel beam with length of 4 m that is supported by a steel column at point B. The steel column of AB has a rectangular cross section (40 mm× 70 mm). The ends are assumed to be pin connected. The yield stress of steel is o y 250 MPa. The Modulus Elasticity of the steel is 200 GPa. Use factor of safety of 1.5. (i) Check whether the Euler's equation is appropriate or not. (ii) Determine the maximum distributed load (W) that can be applied to the beam so that the column of AB does not buckle.
d(mm)=65 T(nm)=1500 Gst(Gpa)=70
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Load P is applied to joint D and the temperature increases by 50 °F. There are two steel (E = 29*10^6 psi; a = 6.5*10^-6/°F) AD and DC and a bronze (E = 16*10^6 psi; a = 9*10^-6/°F) BD with a length of 50 inches. Each bar is a 0.75 inch diameter. Find the deformation of every rod, the displacement at D, and the stress in each rod.

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