Example 6.2. A 45 mm diameter shaft is made of steel with a yield strength of 400 MPa. A parallel key of size 14 mm wide   and 9 mm thick made of steel with a yield of 340 MPa is to be used. Find the, required length of key, if the shaft is loaded to transmit the maximum permissible torque. Use maximum shear stress theory and assume a factor of safety of 2.

Q: Find the maximum torque that can be safely applied to a shaft of 200 mm diameter, if the permissible…

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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

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Q: A 45 mm diameter shaft is made of steel with a yield strength of 400 MPa. A parallel key of size 14…

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Q: Example 3: A composite spring has two close coiled helical springs connected in series; each spring…

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Q: A uniform shaft of diameter 30 mm is subject to a 60 N of tangential force. Calculate the shear…

A: Given data: The diameter of the shaft is D = 30 mm. The tangential force acting on the shaft is F =…

Q: Q4-A shaft (55 mm) diameter is transmit power of 200 W at 1200 rpm, the maximum shear stress of (80…

A: Given data: - The diameter of the shaft is d = 55 mm. The power transmit is P = 200 W. The speed of…

Q: Calculate the pressure between a shaft with an outer diameter of 0.034 m and an inner diameter of…

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Q: A hollow steel shaft is to transmit 5,605 N·m of torque and is to be sized so that the torsional…

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Q: Solid steel wrench (shown in Fig. 4) has a radius of 0.4 cm. and a length of 0.2 m. What is the…

A: Given, diameter of the wrench , d=2×0.4 cm=0.8 cm=8 mm Length, L=200 mm Allowable shear stress,…

Q: A solid circular shaft of 35 mm diameter transmits a torque of 1460 Nm. The value of maximum shear…

A: Diameter of solid circular shaft, d = 35mm  Torque transmitted, T = 1460 Nm or 1460000 Nmm

Q: A propeller shaft for a small machine is made of a solid steel bar 104mm in diameter.The allowable…

A: Solution:- G=80GPa Twist angle=2.0°  L=3.5m d=104mm To find: Maximum torque applied to the shaft,…

Q: A shaft with a diameter d = 25 mm must transfer a torque of 23 Nm by using a key joint. The key has…

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Q: The shaft whose torque varies from 3000 to 8000 in-lb has 2 inches in diameter and 60 000 psi yield…

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Q: (5) A 76mm solid shaft is to be replaced with a hollow shaft of the same torsional strength.…

A: When an amount of force applied on the object, then it has the tendency to rotate that object about…

Q: A drill rod with a diameter of 12 mm is made of high-strength steel alloy with a shear modulus of 80…

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Q: A solid circular shaft will be 2 m long, and its diameter is to be determined. It is made of steel…

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Q: A steel tube of outer diameter 86mm and inner diameter 52mm is under pure torsion. The diameter of a…

A: Outer diameter = 86 mm Inner diameter = 52 mm Answer is (B) 81.98 mm

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Q: -) A hollow circular steel shaft has a 150 mm outer diameter, and a 100 mm inside diameter. The…

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Q: A solid steel shaft is to transmit 120hp.  The allowable shear stress is 8,000 psi.  Calculate the…

A: Given The solid steel shaft transmit power of P=120 hp. The allowable shear stress is τ=8000 psi…

Q: 8.2 (A). Calculate the dimensions of a hollow steel shaft which is required to transmit 750 kW at a…

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Q: Q.solid aluminium shaft 1 m long and 50 mm diameter is to be replaced by a tubular steel shaft of…

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Q: A gear transmits 560 N of torque to a circular shaft having a diameter of 58 mm. A square key 13 mm…

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Q: A cast-iron pulley transmits 49 kW at 1,750 rpm. The shaft to which it is to be keyed is 44.4 mm in…

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Q: Find the diameter of the spring wire and number of   active turns required

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Q: 3. Calculate the diameter of the shaft required to transmit 45 kw at 120 rpm. The maximum torque is…

A: Given Data: The power transmitted by the shaft is, P=45 kW=45 kW×1000 WkW=45000 W. The speed of the…

Q: A Solid circular shaft with a 120 mm diameter and a number of pulleys loaded as shown. The end A is…

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Q: Compute the torsional shear stress and the angle of twist in degrees in an aluminum tube, 600 mm…

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Q: A hollow steel shaft is transmitting 15 kW at 420 rpm. Calculate the thickness of the shaft where…

A: Given, Power, P=15 kW Speed, N=420 rpm The outside diameter of the shaft, Do=50 mm Allowable shear…

Q: Two solid shafts, 50 mm in diameter, are connected by a flange coupling with six bolts and a pitch…

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Q: You are asked to study the distribution of shear stress and the angular deflection in solid and…

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Q: A 1000mm cast iron pulley is fastened to a 112mm shaft by means a 28mm square key 160mm long. The…

A: given data :- shear stress = 200Mpa bearing stress = 660 Mpa length of key = 160 mm width and…

Q: A conveyor belt is driven by a 8-hp motor turning at 2,500 rpm. Through a series of gears that…

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Q: For the aluminum pipe shown in figure below (G=27GPa).Determine (a) The torque To causing an angle…

A: Given data: Shear modulus of material = G = 27 GPaOuter diameter = D = 50 mmInner diameter = d = 40…

Q: Q2/ A steel shaft in bending has an ultimate strength of 688 MPa and a shoulder with a fillet radius…

A: Given Ultimate stress = 688 MPa Fillet radius = 3 mm Minimum diameter = 32 mm Maximum diameter = 38…

Q: A thin-walled tube having a semi circular shape has an outside diameter of 50 mm and a wall…

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Q: A thin tube of uniform thickness 5 mm and square cross section, shown below, is subject to a torque…

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Q: A Wind Turbine has a maximum output of 2MW at a speed of 20 rpm. A shaft of length 2m made of EN8…

A: Given: Maximum power=2×106W Speed=20rpm or 2.094rad/s Design stress=240MPa Length of the shaft=2m…

Q: A 1000 mm cast iron pulley is fastened to a 112 mm shaft by means of a 28 mm square key 160 mm long.…

A: As per our guidelines we are supposed to solve only 3 subparts if multiple subparts are asked .…

Q: PROBLEM 3 Two shafts are being connected by a coupling which is held together by four 3/4-in…

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Q: Answer the following problem. Show your complete solution. Use 4 decimal places. Calculate the…

A: Given data: The power transmits, P = 45 kW. The speed of the shaft, N = 120 rpm. The permissible…

Q: A drilling riser is used to drill a 4km deep hole into the seabed. The riser can be approximated as…

A: Given.  G= 89 Gpa , d_o = 185 mm  d_i = 160 mm  P= 230 Kw  N= 75 rpm

Design of Shafts and Shaft Components

The shaft is basically defined as the machine element that rotates, is in circular cross-section, it is majorly used to transfer the power from one part of the system to another, or from a power generating machine to a power absorbing machine. The shaft is supported on bearings and is rotated with the help of a set of gears or pulleys that are used for the power transmission. Bending moment, torsion, and an axial force act upon the shaft. Designing of shaft primarily involves determining stresses at a critical point in the shaft that is arising due to loading.