100%The tubular shaft shown in thefigure is subjected to a torqueof T = 12 kN.m. Which pointwould experience the largestshear stress due to theapplied torque?D/4BC-BᎾDDE

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Answered: 100% The tubular shaft shown in the…

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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1. A steel shaft is to be manufactured either as a solid circular bar or as a circular tube (Fig. 3-12). The shaft is required to transmit a torque of 1200 Nm 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 d0 of the solid shaft. b) Determine the required outer diameter d2 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 d2/d0) and the ratio of the weights of the hollow and solid shafts.
Prob 1. The rigid bar below is supported by a pin and two rods and must support a load of 100 kN is placed 3 m from A. The brass (Ebrass = 85 GPa) rod has a cross section of 30 x 30 mm and the copper (Ecopper = 120 GPa) rod 20 x 20 mm. Determine the normal stress and deflection of both bars. 1.5 m 2 m B -copper 100 kN brass- 3m 3 m E
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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)
Question 2 A compound shaft consists of copper rod of 30 mm diameter enclosed in a steel tube of external diameter 50 mm and 10 mm thick. The shaft is required to transmit a torque of 1000 Nm. Find the shear stresses developed in copper and steel, if both the shafts have equal lengths and welded to a plate at each end, so that their twists are equal. Take modulus of rigidity for steel as twice that of copper.
A steel pipe of 300-mm outer diameter is fabricated from an 8-mm-thick plate by weldingalong a helix that forms an angle of 20° with a plane perpendicular to the axis of the pipe.Knowing that a 250-kN axial force P and a 10-kN·m torque T, each directed as shown, areapplied to the pipe, determine the normal and in-plane shearing stresses along the weldline, using Mohr's circle. Answer: shear stress along the weld line = 3.61 MPa.
Two solid shafts of different materials are rigidly fastened together and attached to rigidsupports as shown in the figure together with the given section properties. The torque of 1000 N-m is applied at the junction of the two segments. Compute the maximum shearing stressdeveloped in the assembly. Show complete solution.
Solve with FBD
Dron Acompound steel [G=80 GPa) shaft consists of a solid 110-mm-diameter segment (1) and a solid 56-mm-diameter segment (2). The allowable shear stress of the steel is 96 MPa, and the maximum rotation angle at the free end of the compound shaft must be limited to 54°. Determine the magnitude of the largest torque that may be applied at C. (1) 120 (2) 18 Te
A stepped shaft made of steel is fixed at one end and 1.5 kN-m torque is applied at other end. What additional torque that can be applied at point B if the maximum shear stress is not to be exceeded 105 MPa and the total angle of twist should not exceeds 3°. The modulus of elasticity of steel may be taken as 200 GPa and Poisson's ratio as 0.3. 750 B 600 3-11- 70 90
The copper pipe has an outer diameter of 50mm and an inner diameter of 30mm. If it is fixed at A and three torques are applied to it as shown, solve the shear stress at section 1. A 200mm 250mm 3. 30 N-m 300mm 20 N-m 80 N m O 2.34MPA O 7.49MPA O 4.68MP O 3.74MPA

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100% The tubular shaft shown in the figure is subjected to a torque of T = 12 kN.m. Which point would experience the largest shear stress due to the applied torque? D/4 B C - B Ꮎ D D E