A motor drives a shaft at 12 Hz and delivers 20 kW of power as shown in Fig.4. (a) If the shaft has a diameter of 30 mm, what is the maximum shear stress τmax in the shaft? (b) If the maximum allowable shear stress is 40 MPa, what is the minimum permissible diameter dmin of the shaft? A solid circular bar of diameter d = 50 mm is twisted in a testing machine until the applied torque reaches the value T = 500 Nm as shown in Fig.4. At this value of torque, a strain gage oriented at 45 ° to the axis of the bar gives a reading ε =339 ×10-6 . What is the shear modulus G of the material?

Q: A tubular aluminum alloy [G = 4,000 ksi] shaft is being designed to transmit 390 hp at 1,600 rpm.…

A: Given :For aluminum alloy- To find:Minimum permissible outside diameter.

Q: A compound steel [G = 70 GPa] shaft consists of a solid 59-mm-diameter segment (1) and a solid…

A:

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: Two sections of steel drill pipe, joined bybolted flange plates at B, are subjected to a…

A: Calculate the total load due to the uniformly distributed torque on the part BC in the pipe. T0=50…

Q: A solid shaft of 20 mm radius is transmitting 2.5 kW with the frequency of 50 Hz. Calculate the…

A:

Q: closely coiled helical spring is made of 10 mm diameter steel wire, the mean diameter of  the coil…

A: Given:d=10 mmD=68.4 mmn=8G=100 KN/mm2P=807 N

Q: A 6m long solid steel pole is emphasized at 80 MPa when twisting through 6 °. Using G = 83 GPa,…

A: given data  Length of pole (L) = 6 m shear stress (τ) = 80 MPa θ = 6o = π180*6=0.1047rad G = 83 GPa…

Q: Calculate the following: i. The polar second moment of area, J

A: Given data Outer Diameter of the shaft = Do = 50 mm = 0.05 mInner Diameter of the shaft = Di = 40 mm…

Q: e maximum shear stress developed

A: Need to calculate maximum shear stress .

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 solid stainless steel [G = 93 GPa] shaft that is 2 m long will be subjected to a pure torque of T…

A:

Q: A solid steel shaft is stressed at 100 Mpa when twisted through 6 degrees. Compute the Diameter of…

A: Given:ζ=100 MPaθ=6°f=25 HzL=15 mG=83 GPa

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: 2. The composite shaft of total length 1.8 m consists of 5 mm thick brass and is fixed to a 30 mm…

A:

Q: A shaft with a diameter of 51 mm rotates at 1,225 RPM. Three discs are mounted on the shaft, with…

A: Given  , Diameter of the shaft  = 51 mm Speed of the shaft , N =1225 rpm. w1 = 9 N ,w2 = 26 N . w3…

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: (Q6) A solid spring steel shaft in small engine with 5hp at 3000rpm is used as a torque measuring…

A:

Q: A solid shaft transmits 1.7 kW of power at 4.4 Hz. What is the smallest safe diameter of the shaft…

A: The expression to calculate the maximum shear stress is…

Q: c) The steel alloy shaft having a diameter of 38 mm is used to transmit torque, T as shown in Figure…

A: Given Data: τ=80kPa (i) Shear stress is to be given by: Maximum torque that can be transmitted.

Q: solid steel shaft 4 m long is stressed to 60 MPa when twisted through 3 degrees. (a) Given that G =…

A:

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

A:

Q: (a) A steel transmission shaft is 510 mm long and 50 mm external diameter. For part of its length it…

A: We can consider this case as shafts in series Both parts are subjected to the same torque We know…

Q: A tubular steel [G = 79 GPa] shaft with an outside diameter of D = 89 mm and a wall thickness of t =…

A: Given Data The modulus of rigidity is: G=80 GPa The outside diameter is: D=89 mm The thickness of…

Q: The system below shows a solid shaft composed of 2 circular cross sections (r; = 15 mm, r2 = 30 mm).…

A:

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: 0.6 m 1 m 1200 N.m d,= 30 mm- B A 800 N.m d, = 60 mm Figure 4 c) Consider a shaft in Figure 4 is a…

A:

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

A:

Q: The bending stress at point A.

A: Given data Outer Diameter of Shaft = Do = 50 mm = 0.05 mInner Diameter of Shaft = Di = 40 mm = 0.04…

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: An open-coiled helical spring consists of 12 coils, each of mean diameter 60 mm, wire diameter 6 mm…

A: A spring is a mechanical device which is used for the efficient storage and release of energy.…

Q: A circular shaft having diameters D and d and a groove of radius r (with M = 0 and P = 0) is made of…

A:

Q: A SOLID circular shaft transmits 50 horsepower while operating at a rate of 150 rev/min. If the…

A:

Q: A 300-mm diameter solid disk is to be used as a flywheel in a machine to reduce speed fluctuations.…

A: Given Data The diameter of the solid disk is: d=300 mm The yield strength is: sy=720 MPa The…

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.