PROBLEM 3.3-20

Q: The pin-connectsed structure consists of a rigid bar ABCD and two bronze alloy [E = 100 GPa] bares,…

A: GivenE=100GPaA=340mm2L1=810mmL2=1080mma=480mmb=38mmc=600mmσlim=165MPa

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: a) Find the moment of force Fabout point O and express it in CVN. Mo k) N.m b) Find the y coordinate…

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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: 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: 4 - A rectangular block is loaded with a 180 kN axial force and a moment M, as shown in the figure.…

A: Given data:-  Axial force =180 kN the maximum allowable tensile stress = 50 MPa To find:- the…

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: The bar in the figure supports the loads indicated with P = 3 kN, applied in the x-direction. The…

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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: simply supported beam of inverted T-section shown in Figure 5, of the working stresses are 48 MPa in…

A: The maximum tensile stress is .The maximum compressive stress is .The maximum shear stress is

Q: Figure 2: cylindrical shaft

A:

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 cantilevered beam of rectangular section (b width=3 inches ), h camber=12 inches ) is subjected to…

A: A cantilevered beam of rectangular section width b= 3 in h=12 in load P=17 lb  c=2.5 ft from the…

Q: 6 - A circular bar is subjected to a lateral load and axial torque, as shown in the figure. If the…

A: Given data: Length of the bar (L) = 600 mm = 0.6 m Diameter of the bar (D) = 50 mm = 0.05 m Distance…

Q: consider two shafts in torsion, each of the same material, length, and cross-see tional area.…

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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 hollow steel shaft ACB of outside diameter 50 mm and inside diameter 40 mm is held against…

A: Outside diameter = 50 mm Inside diameter = 40 mm Shear stress = 55 Mpa

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

A:

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

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Q: A 50-in long cantilever circular bar ABC is subjected to a torque T acting at point B, located at a…

A: TorsionExplanation:Step 1: Step 2:Step 3:Step 4:

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 bar shown in the figure is made of cold-drawn steel, having an yield strength of 280 MPa. Loads…

A: Syt = 280 MPa F = 1 KN P =  5KN T = 20 KN     To Find out:- 1) Principal stresses at point A 2)…

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: An aluminum alloy tube is shrunk onto a steel rod, forming a shaft that acts as a unit. This shaft…

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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…

A:

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: T.L J =- (r* – r*) (Tubular shaft) Tr J = (Solid shaft) G.J 3. The shaft in the figure below…

A: Free body diagram: From the FBD: TA+TB=5100 N-m    .....(1)For parallel connection, Angle of…

Q: The rigid beam BC shown in the figure is supported by rods (1) and (2) that have cross-sectional…

A: according the the given figure

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.