shaft transmits 75 kW power at 300 r.p.m. The distance between the two bearing is 3000 mm. It is subjected to torsion only. Calculate the diameter of the shaft, (1)For steady loading and (ii) For suddenly applied load with minor shocks. Take the allowable shear stress for the shaft material as 35 N/mm².

shaft transmits 75 kW power at 300 r.p.m. The distance between the two bearing is 3000 mm. It is subjected to torsion only. Calculate the diameter of the shaft, (1)For steady loading and (ii) For suddenly applied load with minor shocks. Take the allowable shear stress for the shaft material as 35 N/mm².

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 3.7.3P: A motor driving a solid circular steel shaft with diameter d = 1.5 in, transmits 50 hp to a gear at...

See similar textbooks

Related questions

Q: A solid constant-diameter circular shaft is subjected to the torques of TA = 480 lb-ft, TB = 1060…

A: Given Data: Allowable shear stress, t=5800 psi

Q: A solid shaft is required to transmit 120 kW power at 200 rpm. Find the suitable diameter of the…

A: Power, P = 120 kW Speed, N = 200 rpm Tmax = 1.2Tmean Shear stress, = 70 N/mm2…

Q: A horizontal shaft AD supported in bearings at A and B and carrying pulleys at C and D is to…

Q: Find the shear stress in 10 mm diameter shaft subjected to 2 kW power transmission at 100 rpm.

A: Given data:

Q: Compute the torsional shear stress in a circular shaft with a diameter of 50 mm that is subjected to…

A: GivenT=800 Nmd=50mm=0.05 mFormulaσT=16Tπd3

Q: The figure below show a stepped shaft in torsion. Compute the maximum shear stress at the step when…

Q: n outside diameter of 70 m and :

A: here outer dia (70m) is >>>> inner dia (50mm). so the polar moment of inertia almost…

Q: Two designs for a shaft are being considered. Both have an outside diamete of 80 m and are 100 cm…

Q: Q/A shaft supported at the ends in ball bearings carries a straight tooth spur gear at its mid span…

A: To find: The diameter of the shaft. Given: The power transmitted isP=7.5 kW103 W1 kW=7500 W. The…

Q: The motor shown supplies 126 hp at 1340 rpm at A. Shafts (1) and (2) are each solid…

A: The power supply by the motor is The speed of the motor is The diameter of shafts 1 and 2 is The…

Q: Compute the torsional shear stress in a circular shaft with diameter of 50mm that is subjected to a…

Q: The mean diameter of the driving pulley for a vee-belt drive with two belts is 110 mm. The pulley…

A: diameter of pulley (d) = 110 mm no of belt = n = 2 groove angle = 2β = 45° = β = 22.5° power…

Q: The dimensions of a stepped shaft are shown below. The maximum shear stress specification of the…

A: Given data: r=2.4 mD=15 mmd=12 mm Need to determine the allowable torque.

Q: shaft made of steel receives 7.5 kW power at 1500 r.p.m. A pulley mounted on the shaft as shown Fig.…

Q: Compute the torsional shear stress in a circular shaft with a diame to a torque of 800 N-m.

Q: An engine develops 5.0 MW at 115 RPM and the ratio of maximum to mean torques is 1.3 to 1. Calculate…

Q: A hollow shaft with a length of 1103mm and outer diameter 73mm and inner diameter 50mm is required…

Q: 1. The rotating solid steel shaft is simply supported by bearings at points B and C and is driven by…

A: given data D=150mmSy=420Mpaθ=20°SUT=560MpaTA=340NmFOS=2.5(A) Consider the equation of torque acting…

Q: The diameter of shaft is 45mm. Compare the shear stress in the key to the torque in the shaft.…

Q: Two designs for shaft are being considered. Both have an outside diameter of 60 mm and are 500 mm…

Q: hollow with an internal diameter of 50 mm. Both are made from steel (G=120 GPa). Critically evaluate…

Q: A shaft rotating at 200 r.p.m. drives another shaft at 300 r.p.m. and transmits 6 kW through a belt.…

Q: Bearing stress 4. Please provide proper discussion and illustration also complete solution and…

A: For solution refer below images.

Q: What power in kW a 10-mm diameter solid shaft at 30 rev/sec can transmit if the allowable torsional…

A: Given that: d = 10 mm N = 30 rev/s τ = allowable shear stress = 40 MPa (N/mm2) It is required to…

Q: Q2 Find the diameter of a shaft made of 37 Mn 2 steel having the ultimate tensile strength as 600…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Design a hallow shaft (Diameter and length) that develops 80 kW of power while rotating at a speed…

Q: Compute the torsional shear stress in a hollow shaft with an

Q: A solid brass shaft is loaded as shown below by two torques TB- segments are LAB = 700 mm and LBC…

A: According to the given data LAB=700mm LBC=600mm TB=1100 N.m TC=300N.m τallow=50 MPa G=41 GPa We need…

Q: rigid flange coupling

A: Mt=228 Nm=228000Nmm Diameter of shaft τ=16Mtπd3100=16*228000πd3d=22.645 mm or 25 mm

Q: A motor driving a solid circular steel shaftwith diameter d = 1.5 in. transmits 50 hp to a gear atB.…

A: Consider a shaft having radius R is subjected to a twisting moment T. Then, shear stress developed…

Q: Question: The diameter of shaft used in the below design is 90 mm. Identical pulleys are used in the…

Q: a solid shaft is transmitting 1 mw at 240 rpm determine the daimeter of shaft exceed the mean of…

A: Shear stress produced by torque vary from zero at center of cross-section to maximum at surface in…

Q: A shaft is transmitting 100 kW at 160 rpm. Find a suitable diameter for the shaft if the maximum…

A: given : P = 100 kW N = 160 rpm Tmax = 25% more by mean Torque T ∴ Tmax = 1.25T τ = 70 Mpa

Q: A circular-closed-tube shaft, with an outer radius of 20 mm and an inner radius of 15 mm, and 650 mm…

Concept explainers

Slope and Deflection

The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and after loading.

Question

Please solve step by step both sub parts.

shaft transmits 75 kW power at 300 r.p.m. The distance between the two bearing is 3000 mm. It is subjected to torsion only. Calculate the diameter of the shaft,

(1)For steady loading and

(ii) For suddenly applied load with minor

shocks.

Take the allowable shear stress for the shaft material as 35 N/mm².

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

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 motor driving a solid circular steel shaft with diameter d = 1.5 in, transmits 50 hp to a gear at B, The allowable shear stress in the steel is 6000 psi. Calculate the required speed of rotation (number of revolutions per minute) so that the shear stress in the shaft does not exceed the allowable limit.
Two designs for shaft are being considered. Both have an outside diameter of 60 mm and are 500 mm long. One is solid but the other is hallow with an inside diameter of 40 mm, both are made from steel ( G=80 GPa). Compare the torsional shear stress, and the mass of the two designs if they are subjected to a torque of 71 N.m.
The coefficient of friction between the belt and the pulley is 0.3 and the maximum stress in the belt is limited to 14 N/mm width. If the larger pulley rotates at 120 r.p.m., find the maximum power that can be transmitted. Q2 Find the diameter of a shaft made of 37 Mn 2 steel having the ultimate tensile strength as 600 MPa and yield stress as 440 MPa. The shaft is subjected to completely reversed axial load of 200 kN. Neglect stress concentration factor and assume surface finish factor as 0.8. The factor of safety may be takenas 1.5. Q3 a) An universal coupling is used to connect two mild steel shafts transmitting a torque of 6000 N- m. Assuming that the shafts are subjected to torsion only, find the diameter of the shaft and the pin. The allowableshear stresses for the shaft and pin may be taken as 55 MPa and 30 MPa respectively.
Compute the torsional shear stress in a circular shaft with diameter of 50mm that is subjected to a torque of 800Nm.
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°.
Compute the torsional shear stress in a circular shaft with a diameter of 50 mm that is subjected to a torque of 800N-m.
Please give proper solution.other wise skip to other expert I want to learn. shaft transmits 75 kW power at 300 r.p.m. The distance between the two bearing is 3000 mm. It is subjected to torsion only. Calculate the diameter of the shaft. (1) For steady loading.
I need the answer quickly
Compute the torsional shear stress in a hollow shaft with an outside diameter of 40 mm and an inside diameter of 30 mm when transmitting 28 kilowatts(kW) of power at a speed of 45 rad/s.
Two designs for a shaft are being considered. Both have an outside diameter of 70 m and are 900 mm long. One is solid but the other is hollow with an internal diameter of 50 mm. Both are made from steel (G=120 GPa). Critically evaluate and compare the torsional shear stress, angle of twist of the two designs if they are subjected to a torque of T N. m. the missing Torque 171 (T).
Design a rigid flange coupling to transmit a torque of 228N-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 > Provide FBD