Determine the ditribution of shear stress in the following circular shafts that are subject to a maximum torque of 7.5 Nm by calculating the polar second moment of area. and also determine the angular deflection in both shafts. Both shafts are 20 cm long and the modulus of rigidity for the material is 60GN/m^2.

Q: What is the polar moment of inertia of a solid steel shaft in mm^4 that will not twist through more…

A: Given data,  T= 44kN.m = 44 N.mm  L= 6 m = 6000mm  G= 83 GPa = 83000 N/mm²  θ= 2°

Q: Solid circular shaft is under bending and torsion loadings. Uniaxial tensile yield strength of the…

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Q: The outside diameter (in mm) of the 10/14

A: Given; A hollow shaft;  length,l=1m  Max permissible twist in the shaft is=10  Inner dia of the…

Q: A hollow steel shaft 2304mm long is to be designed to transmit a torque of 28350 kJ. The shear…

A: Given data: steel shaft long (l)=2304mm transmit torque(T)=28350KJ Shear modulus of…

Q: Consider a hollow steel shaft with a 130mm outside diameter and a 70mm inside diameter. What is the…

A: Given Data⇒ Hollow steel shaft Outside diameter of shaft(D)=130 mm=0.13 m Inside diameter of…

Q: A solid shaft is subjected to a twisting moment of 350 kNm. If the angle of twist is 5° per meter of…

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Q: shaft of 53 mm diameter is subjected to a bending moment of 1477158 N-mm and a torque T N-mm. If the…

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Q: Determine the torque needed to twist a short 2-mm-diameter steel wire through several revolutions if…

A: The yield stress of perfectly plastic material is given as, The torque of perfectly plastic…

Q: A torque of 40,000 N.m is applied to a 10 cm diameter shaft. What is the factor of safety of a…

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Q: A hollow bronze shaft of 75 mm outside diameter and 12.5 mm thick is coaxial with a solid steel…

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Q: The tubular rotor shaft of a wind turbine shown in Figure 3(a) is of 50 mm and 40 mm outer and inner…

A: Given: Outer diameter of the tube→Do=50 mm=0.05 m Inner diameter of the tube→Di=40 mm=0.04 m Torque…

Q: A solid shaft of circular cross section has a diameter of 15mm and is loaded by a torque of 130Nm at…

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Q: Calculate the shaft diameter and torsion angle since the maximum torsional moment is 150 Nm for a 1…

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Q: A hollow shaft with outside diameter of 135 mm and wall thickness of 8 mm transmits 182 kW at 400…

A: L=5m 1psi= 6894.76 N/m2

Q: A mild steel shaft of 50mm diameter is subjected to a bending moment of 1.9kNm. If the yield point…

A: Introduction The maximum shear stress hypothesis states that a material will fail or yield if its…

Q: В x (in) r = 2e0.05x 100 kip-in r (in) A 10 in 100 kip-in The solid torsional shaft above is…

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Q: Find the max shear stress in given data of two circular shafts (S) AND (H)

A: GIVEN DATA; Two circular shaft made same material one solid and one hollow     both have same length…

Q: . Determine the outside diameter of the shaft?

A: Given data, Inner diameter of the shaft,di=0.6 times the outer diameter,  Where, Modulus of…

Q: Determine the torsional stiffness of a solid aluminum shaft of length 2 m and radius of 30 cm. The…

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Q: B BC is brass. The rod is fixed at its ends and subjected to a torque of T = 400 Nm. The steel…

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Q: A 50 mm diameter shaft is transmitting a power of 142.8 HP and is turning at 900 rpm. The shaft is…

A: given data ; diameter = 50 mmpower = 142.8 HP = 142.8 * 746 Wrpm = 900 rpmbending stress =…

Q: (a) The tubular rotor shaft of a wind turbine shown in Figure 3(a) is of 50 mm and 40 mm outer and…

A: Given data Outer Diameter of Tubular shaft = Do = 50 mm = 0.05 mInner Diameter of Tubular Shaft = Di…

Q: What is the polar moment of inertia of a solid steel shaft in mm^4 that will not twist through more…

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Q: Figure Q2 shows a beam subjected to distributed loading. Knowing the beam is fixed supported at one…

A: a) Free body diagram of the beam The free body diagram of the given beam is where, RB is the…

Q: A mild steel shaft of 48 mm diameter is subjected to a bending moment of 1850 Nm and a torque T. If…

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Q: A compound shaft consists of two pipe segments. Segment (1) has an outside diameter of 200 mm, a…

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Q: Find out the outer diameter of the hollow shaft, if the allowable shear stress induced in it is…

A: Data given-  Allowable shear stress = 53 MPa  Permissible value of torque = 2000 N-m  K = di /do =…

Q: A shaft with an allowable shear stress of 102 MPa is subjected to a bending moment of 3,159 N-m and…

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Q: A belt driven pulley, transmitting torque , weighs 1.8 kN. It is mounted between two bearings 3 m…

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Q: A shaft capable of transmitting 50 kW of power will spin at 100 revolutions per minute. The maximum…

A: Given   Power, P = 50 kW Speed, N =10 0 rpm Length, l = 3 m     Angle = 1.5 degree Find   Diameter,…

Q: Find the twisting moment in a solid shaft 125 mm diameter when the angle of twist is  0.5 degree on…

A: Introduction When a…

Q: 2. A shaft is designed to carry torque as shown below. The shaft consists of a steel rod which is…

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Q: shaft with a diameter of 50 mm and a length of 1300 mm with a safe shear yield strength of 20 N /…

A: Given:d=50 mml=130 mmSys=20 MPaT=565 NmG=80 GPa

Q: A hollow shaft of 1 m length is designed to transmit a power of 30 kW at 700 rpm. The maximum…

A: Given, Length of shaft = L = 1 m Power transmitted = P = 30 kW = 30 x 103 W Shaft RPM = 700 rpm…

Q: A shaft of diameter 40 mm is subjected to 360 N-m torque. The length of the shaft is 10 cm.…

A: Given data: The diameter of the shaft, d = 40 mm. The torque subjected to the shaft, T = 360 N-m.…

Q: A hollow shaft of 1 m length is designed to transmit a power of 30 kW at 700 rpm. The maximum…

A: Given:Length of the hollow shaft, L=1 mPower transmit, P=30 kWSpeed of the shaft, N=700 rpm,Angle of…

Q: 25m (a) The tubular rotor shaft of a wind turbine shown in Figure 3(a) is of 50 mm and 40 mm outer…

A: Given data:- Inner diameter = 40 mm Outer diameter = 50 mm Torque = 2.5 kN-m Moment = 3.6 kN-m Find…

Q: Asolid 15 mm diameter shaft is subjected to an axial load of P = 15 kN and a torque of Tacting as…

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Q: A hollow shaft with outside diameter of 165 mm and wall thickness of 8 mm transmits 192 kW at 400…

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Q: Maximum shear stress developed on the surface of a solid circular shaft under pure torsion is 240…

A: Given data: - The maximum shear stress on the circular shaft is τ = 240 MPa.

Q: A solid shaft has a diameter of 40 mm and length of 1 m. It is made from an elastic-plastic material…

A: To find the maximum elastic torque Ty=? Using Torsional equation Ty=τYJR…

Combined Loading

Any functioning component, such as machine parts, structural members, pressure vessels, and so on, are all under the influence of more than one force. When anybody is under the influence of more than one force such as shear forces, bending moments, axial forces, torsion, and so on, then such body is said to be under combined loading. A very practical example of combined loading is the crankshaft of an internal combustion engine (IC engine). The crankshaft of the IC engine is under high rpm, which is caused due to the torsional forces. Due to the presence of piston, counterbalances, and internal imbalances, the crankshaft experiences lateral forces and due to the rise in temperature, the crankshaft undergoes thermal expansion, which pulls the crankshaft along the axial direction and lateral direction. The presence of unbalanced loads along the periphery of the crankshaft also induces a bending moment.