A shaft is to be fitted with a flanged coupling having 8 bolts on a circle of diameter 150 mm. The shaft may be subjected to either a direct tensile load of 400 kN or a twisting moment of 18 kN·m. If the maximum direct and shearing stresses permissible in the bolt material are 125 MPa and 55 MPa respectively. Find the minimum diameter of the bolt required. Assume that each bolt takes an equal share of the load or torque.

Q: A 45-mm-diameter solid steel shaft supports loads PA-1.2 kN and Pc-2.7 kN as shown. Assume that L₁ -…

A: The diameter of the solid shaft d =45 mmThe support loadThe length of the sectionAt point B is…

Q: A hollow bronze shaft (G=5000ksi) has an outer diameter of 3in and a wall thickness of 0.25in. The…

A: Given data: Converting all data into SI units. Modulus of rigidity G=5000 ksi=34473.8 Mpa Outer…

Q: The aluminum shaft, composed of three segments is fastened to rigid supports as A and D. Calculate…

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Q: A motor drives a shaft at 300 rpm and a power output of 100 kW. The shaft is made of A-36 steel and…

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Q: A solid steel shaft must not twist through more than 30 in a 6-m length when subjected to a torque…

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Q: Let's consider a solid circular shaft subjected to the torque loads as shown. Determine the minimum…

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Q: The compound shaft is attached to a rigid wall at each end. For the bronze segment AB, the diameter…

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Q: A hollow tubular component is made of Steel having a Young's modulus of 205 GPa and yield strength…

A: E=205 GPaσy=250 MPad0=45 mmt=3 mmdi=45-2×3di=39 mmL= 4 ma if torque T=580 Nm then shear stress…

Q: A 1.1-in-diameter solid round bar has a groove 0.1-in deep with a 0.1-in radius machined into it.…

A: The polar moment of inertia, J, for a solid round bar is given by the formula:J = π/2 × r4where r is…

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: 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: a solid rod with a circular cross-secton is subject to a torque of 253 N.m. if diameter of the rod…

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Q: aft with a hollow cross section is subjected to torque of magnitude T = 5.5 kN-m. If the outer…

A: Given:T=5.5 kN.mdo=0.1 mt=10 mm

Q: The copper pipe (G= 50 GPa) is tightly secured to the wall at A, has an outer diameter of 40 mm and…

A: The objective of the question is to determine the maximum shear stress developed in the copper pipe…

Q: Torque =230 N-m

A: The torque for designing a rigid flange couple is given as,  T=250 N-mT=250×103 N-mm The number of…

Q: The steel shaft of a socket wrench has adiameter of 8.0 mm and a length of 200 mm (seefigure).If the…

A: Given Data The diameter of the shaft is: d=8×10-3 m The length of the shaft is: L=200×10-3 m The…

Q: Problem1: The entire composite shaft shown in the following figure is manufactured using steel with…

A: GivenG=80GPatorque =Tτa=75MPa

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.