Problem 4 A 200-mm-diameter pulley is prevented from rotating relative to 60-mm-diameter shaft by a 70-mm-long key, as shown in Fig. P-118. If a torque T = 2.2 kN m is applied to the shaft, determine the width b if the allowable shearing stress in the key is 60 MPa key. 70 mm Figure P-118 Shaft 200 mm-0 (b Shaft 60 mm-o

Problem 4 A 200-mm-diameter pulley is prevented from rotating relative to 60-mm-diameter shaft by a 70-mm-long key, as shown in Fig. P-118. If a torque T = 2.2 kN m is applied to the shaft, determine the width b if the allowable shearing stress in the key is 60 MPa key. 70 mm Figure P-118 Shaft 200 mm-0 (b Shaft 60 mm-o

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter3: Torsion

Section: Chapter Questions

Problem 3.7.10P: What is the maximum power that can be delivered by a hollow propeller shaft (outside diameter 50 mm,...

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What is the maximum power that can be delivered by a hollow propeller shaft (outside diameter 50 mm, inside diameter 40 mm, and shear modulus of elasticity 80 GPa) turning at 600 rpm if the allowable shear stress is 100 MPa and the allowable rate of twist is 3.0°/m?
A keyed gears delivers a torque of 912.4 N-m thru its shaft of 63.5 mm outside diameter. If the key has thickness of 15.875 mm and width of 11.1125 mm, find the length of the key. Assume permissible stress value of 61.2 MPa for shear and tension at 99.8 MPa
The motor shown supplies 126 hp at 1340 rpm at A. Shafts (1) and (2) are each solid 1.86-in.-diameter steel [G=11400 ksi] shafts with lengths of L₁ = 79 in. and L₂ = 105 in., respectively. Assume Ng-27 teeth and N-42 teeth. The bearings shown permit free rotation of the shafts. (a) Determine the maximum shear stresses T₁, T2 produced in shafts (1) and (2). (b) Determine the rotation angle DA of gear D with respect to flange A. Answers: (a) T₁ = (b) P DIA Nc WWAMACOM Save for Later C 9.3808 = i 2.1378 e Textbook and Media NB L₁ B D TD ksi, 1₂: = i 14.5924 ksi. Attempts: 1 of 5 used Submit Answer
The motor shown supplies 126 hp at 1340 rpm at A. Shafts (1) and (2) are each solid 1.86-in.-diameter steel [G=11400 ksi] shafts with lengths of L₁ = 79 in. and L₂=105 in., respectively. Assume Ng-27 teeth and N-42 teeth. The bearings shown permit free rotation of the shafts. (a) Determine the maximum shear stresses T₁, T2 produced in shafts (1) and (2). (b) Determine the rotation angle D/A of gear D with respect to flange A. Answers: (a) T₁ = (b) P DIA Nc WWAMACOM Save for Later C 9.3808 = i 2.1378 eTextbook and Media NB L₁ B D TD ksi, 1₂: = i 14.5924 ksi. Attempts: 1 of 5 used Submit Answer
Q/A shaft supported at the ends in ball bearings carries a straight tooth spur gear at its mid span and is to transmit 7.5 kW at 300 r.p.m. The pitch circle diameter of the gear is 150 mm. The distances between the centre line of bearings and gear are 100 mm each. If the shaft is made of steel and the allowable shear stress is 45 MPa, determine the diameter of the shaft. Show in a sketch how the gear will be mounted on the shaft; also indicate the ends where the bearings will be mounted? The pressure angle of the gear may be taken as 20°.
A hollow bronze shaft of 75 mm outer diameter and 50 mminner diameter is slipped over a solid steel shaft 50 mm indiameter and of the same length as the hollow shaft. The twoshafts are then fastened rigidly at their ends. Find the maximumshearing stress developed in the bronze by end torque of 3 kN.mFor bronze G = 35 GPa and for steel G = 83 GPa.
The shear modulus of the solid steel shaft is G = 11 x 10° ksi. Motor A is directly coupled to the shaft and delivers 3 hp while rotating at 1800 rpm (revolutions per minute). Gears B, C, and D remove the powers indicated in the figure. Given the following two criteria, determine the required diameter of the shaft to the nearest 1/s in. (1) The maximum shear stress must not exceed Tallow = 9 ksi. (2) In order to prevent binding or interference in the attached machin- ery, the angle of twist of gear B with respect to gear D must not exceed 1°. 1.25 ft 1.0 ft 3 hp 1.5 ft 1 hp 0.5 hp 1.5 hp
Consider two steel shafts CFG and HJ of diameters 50 mm and 70 mm respectively as shown in fig. The shaft CFG is supported at two bearings, while shaft HJ is fixed at 'H' and supported by bearings at 'J. Determine the torques T 1 and T 2 if the twisting at gears C and G is required to be 0.05 rad. Take E=205GPA, G=70GPA 600 mm 75mm 600 mm 50mm 800mm G. T2
x Question: The diameter of shaft used in the below design is 90 mm. Identical pulleys are used in the design with a radius of 160 mm. The forces acting on the system are defined as follow: F₁ = 1P kN; F₂ = 8P kN; F3 = 2P kN; F₁ = 6P kN; F5 = 4P kN; F = 7P kN. Employing the maximum shear stress theory, calculate the maximum permissible P for a safe design experience. L₁ = 1.4m; L₂ = 1.8 m; L3 = 1.4m; L4 = 1.6 m; allow = 75 MPa (allowable strength, σs) A F₁ F₂ L2 m F4 B 3 F6 Fs
The motor shown supplies 126 hp at 1340 rpm at A. Shafts (1) and (2) are each solid 1.86-in.-diameter steel [G= 11400 ksi] shafts with lengths of L₁ = 79 in. and L₂ = 105 in., respectively. Assume Ng-27 teeth and Nc-42 teeth. The bearings shown permit free rotation of the shafts. (a) Determine the maximum shear stresses T₁, T2 produced in shafts (1) and (2). (b) Determine the rotation angle DIA of gear D with respect to flange A. Answers: (a) T₁ (b) DIA = = i A i (1) Nc C L1 NB B GE (2) D ksi, T₂ = TD Mi L2 ksi.
Design a rigid flange coupling to transmit a torque of 257N-m between two coaxial shafts. The shaft is made of alloy steel, flanges out of cast iron and bolts out of steel. Four bolts are used to couple the flanges. The shafts are keyed to the flange hub. The permissible stresses are given below: Shear stress on shaft =100MPa Bearing or crushing stress on shaft =250MPa Shear stress on keys =100MPa Bearing stress on keys = 250MPa Shearing stress on cast iron = 200Mpa Shear stress on bolts =100MPa Answer in Word please
A motor drives a shaft at 300 rpm and a power output of 100 kW. The shaft is made of A-36 steel and has diameter 128 mm. There are two gears at B and C and power is transmitted to them equally. The bearing at D can be taken to be frictionless. Calculate the maximum shear stress in the shaft, and the angle of twist of D relative to A. The lengths are 2 m, L2 = 3 m, and L3 = 3.5 m. L₁ = A B 030/ 2021 Cathy Zupke X ↳₂ The maximum shear stress is Tmax= 60.9 X MPa The angle of twist (in degrees) between A and D is A/D 58.2 O C