PROBLEM 3.3-20

Q: A maintenance engineer is dimensioning a motor that will drive a shaft at 12 Hz and provide 20 kW of…

A: Disclaimer: “Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: The flat bars shown in parts a and b of the figure are subjected to tensile forces P-3.0 kips. Each…

A: Given data,       Tensile force  P=3.0 Kips       Thickness      t=0.3 in.a  For the bar with a…

Q: A solid copper bar of circular cross sectionhas length L =1.25 m and shear modulus of elasticityG =…

A: Shaft is designed on the basis of following two criteria:- Strength Criteria According to Strength…

Q: A circular tube of inner radius r1 and outer radius r2 is subjected to a torque produced by forces P…

A: a-calculate the r2 the minimum permissible outer radius of the tube given…

Q: Two vertical forces are applied to a simply supported beam, having the cross section shown. Assume…

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Q: The figure (not drawn to scale) shows a metallic cylindrical column submitted to a combined load:…

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Q: A solid tapered steel shaft is rigidly fastened to a fixed support at one end and is subjected to a…

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Q: 1. A maintenance engineer is dimensioning a motor that will drive a shaft at 12 Hz and provide 20 kW…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: A hollow tubular shaft will be used between the engine and the propeller of the boat as shown in the…

A: given data;outer diameter (do)=74mmthickness (t)=6mmengine power(P)=10KWspeed (n)=694rpmstress on…

Q: 2.6-2 A circular steel rod of diameter dis subjected to a tensile force P = 3.5 kN (see figure). The…

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Q: As shown in the figure, a force P-150N and a torsional moment T=400N.m are applied on the free end…

A: Draw the free-body diagram of the shaft.

Q: A section is under the effect of M (kNm) bending moment which makes 6° with the positive +z axis as…

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Q: (a) A steel cantilever beam with a 1-in-diameter round cross section and length of 10 in is loaded…

A: Stresses are developed in machine elements due to applied load. Machine design involves ensuring…

Q: Q4: A 5 m long hollow bar of circular section has 160 mm diameter for a length of 3m, while it has…

A: To find: The elongation of the long hollow bar.   Given: The total length of the bar is L=5 m The…

Q: In the figure, rigid bar ABC is support by a pin at B and by post (1) at A. However, there is a gap…

A: Length of post (1): L 1= 2.00 mThe gap between the rigid bar at A and post (1): Δ = 6 mmDisplacement…

Q: fofits length as show ar is dz= 3.0 in. and afts material is steel w

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Q: When drilling a hole in a table leg, a furnituremaker uses a hand-operated drill (see figure) with…

A: The shear stress in the bar, when it is subjected to torsional moment can be calculated using the…

Q: A torsional moment T = 8,867 Nm and a load P = 59,372 N are applied at the same time to a circular…

A: Given data:- Torque (T) = 8867 N-m Force (p) = 59372 N Inner diameter = 49 mm Outer diameter = 70…

Q: ircular tube of aluminum is subjected to torsion by torques T applied at the ends (see figure). The…

A: Given:L=27 indi=1.2 indo=1.6 inθ=3.157°T=51,662 in

Q: A wooden joist 15 cm deep by 7.5 cm wide is reinforced by glueing to its lower face a steel strip…

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Q: A circular aluminum tube of length L = 400 mm is loaded in compression by forces P (see figure). The…

A: (a) The shortening in the bar can be determined as,

Q: L 10 kN 7 kN 14 kN H 240 mm The pipe in the figue problem is subjected to the forces given in the…

A: Given: The load acting on pipe along y-axis, Py = 10 kN The load acting on pipe along x-axis, Px =…

Q: A thin-walled steel tube having an ellipticalcross section with constant thickness t (see figure)…

A: Given Torque, T = 18 k-in.            G = 12 x 106 psi             t = 0.2 in            a = 3.0 in.…

Q: A copper tube with circular cross sectionhas length L = 1.25 m, thickness t = 2 mm, andshear modulus…

A: Consider figure given in the question for solution compose the connection for the inward…

Q: A solid steel bar of circular cross section has diameter d = 40 mm, length L = 1.3 m and shear…

A: A solid steel bar of circular cross section has diameter d = 40 mm = 0.04 m, length L = 1.3 m and…

Q: tube subjected to pr times the inner radi hear strain in the tu ner surface? allowable rate of tv

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Q: A prismatic bar AB of length L and solidcircular cross section (diameter d) is loaded by…

A: Given   Diameter = d      Length = L Find Maximum shear stress Angle of twist

Q: A circular bar, with shear modulus 40 GPa and radius 10 mm, is subjected to torques at points A, B,…

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Q: A material having a shear modulus G, is deformed under a pure shean stress as shown in the following…

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Q: subjected to pure tor s the inner radius n. strain in the tube is m

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Q: 40 N.m Da 0.5 m 280 N.m 150 N.m 2 0.3 m 0.4 m

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Q: Hi, can you please show me how to solve this problem? Thank you!

A: The objective of this problem is to determine the maximum tensile stress, maximum compressive…

Q: The 75-mm rod carries a bending moment of 3kNm and a Torque T as shown in the figure. If the…

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Q: A stepped shaft of solid circular cross sections(see figure) has length L = 0.80 m, diameterd2 = 40…

A: Given  Diameter, d1 = 1.0 in.                  d2 = 1.2 in.       Length, L = 45 in.…

Q: A 3 m long steel angle shown in the figure has a section thickness of 12.7 mm and a cross sectional…

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Q: A hollow steel shaft used in a construction auger has outer  diameter d2 = 7.8 in. and inner…

A: Given data:

Q: ected to torsion by torques T applied at the ends (see figure). The bar is 10 in. long, and the…

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Q: A prospector uses a hand-powered winch(see figure) to raise a bucket of ore in his mineshaft. The…

A: To transmit energy by rotation it is necessary to apply a turning force .in the case of a shaft if…

Q: A hollow aluminum tube used is a roof structure has an outside diameter d2=70mm and inside diameter…

A: (a) The angle of twist is ϕ = 7.3o. (b) The diameter required for solid shaft is d = 63.3 mm.

Q: 300 mm 5.5 KN 1500 mm 500 mm

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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.