A steel shaft is to be manufactured either as a solid circular bar or as a circular tube . The shaft is required to transmit a torque of 1200 N-m without exceeding an allowable shear stress of 40 MPa nor an allowable rate of twist of 0.75°/m. (The shear modulus of elasticity of the steel is 78 GPa.) (a) Determine the required diameter do of the solid shaft. (b) Determine the required outer diameter d, of the hollow shaft if the thickness t of the shaft is specified as one-tenth of the outer diameter. (c) Determine the ratio of diameters (that is, the ratio d2ldo) and the ratio of weights of the hollow and solid shafts. d2 t = 10 -d-p- -Op- dz (a) (b)

A steel shaft is to be manufactured either as a solid circular bar or as a circular tube . The shaft is required to transmit a torque of 1200 N-m without exceeding an allowable shear stress of 40 MPa nor an allowable rate of twist of 0.75°/m. (The shear modulus of elasticity of the steel is 78 GPa.) (a) Determine the required diameter do of the solid shaft. (b) Determine the required outer diameter d, of the hollow shaft if the thickness t of the shaft is specified as one-tenth of the outer diameter. (c) Determine the ratio of diameters (that is, the ratio d2ldo) and the ratio of weights of the hollow and solid shafts. d2 t = 10 -d-p- -Op- dz (a) (b)

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

2 please with explanation :)
etermine the elongation of a 0.5-in, dianeter sterl bar The elastic modulus of the steel bar is 27000 kar. 2000 Ib 10 ft
need fast
Two shafts are made of the same material. The cross section of shaft A is a square of side b and that of shaft B is a circle of diameter b. Knowing that the shafts are subjected to the same torque, determine the ratio TA/TB of maximum shearing stresses occurring in the shafts. Refer to Table 3.1. -b- -b- ko b A Check my work B The ratio of maximum shearing stresses is TA/TB= 5
Read the question carefully and give me right solution with clear calculations
A rigid bar ABCD is supported by two bars as shown in the figure. There is no strain in the vertical bars before load P is applied. After load P is applied, the normal strain in rod (1) is -1350 µm/m. Determine the normal strain in rod (2) if there is a 1-mm gap in the connection at pin C before the load is applied. A 240 mm B (1) O 1281 um/m O 1877 µm/m O 1141 µm/m O 1358 µm/m O 999 µm/m 360 mm (2) Rigid bar 900 mm C 140 mm, 1,500 mm
Write complete solution
please answer all the questions with complete solutions and draw a proper free body diagram. Thank you
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.