Yo T M M PROBLEM 8.5-9

Q: two of the arms of a lug wrench (see figure below). The wrench is made of steel with a shear modulus…

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Q: 3.45 A4-ft-long tube with the cross section shown in the figure is made of alumi- num. Find the…

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Q: A torque T is applied to a thin-walled tubehaving a cross section in the shape of a regular…

A: Given   b = Length of side    t = Thickness Find Shear stress τ  Rate of twist

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 pressurized steel tank is constructed with a helical weld that makes an angle at = 55" with the…

A: Stress and strain  Strain is the response of a system to an applied stress. When a material is…

Q: 3 KN/m D B 120 mm YA= 40 mm A. 80 mm 1m 2 m 10 KN 10 KN L= 4 m

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Q: A gondola on a ski lift is supported by two bent arms, as shown in the figure. Each arm is offset by…

A: Given: Weight of the gondola (W)=12kNDistance b=0.180mAllowable tensile stress (σy)=100MPaAllowable…

Q: A prismatic bar AB with a solid circularcross section (diameter d) is loaded by a distributedtorque…

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Q: A section of double-extra-strong pipe made of steel with yield strength Oy = 50ksi is subjected to a…

A: Write the given data with suitable variables. σY=50 ksiM=114.2 kip-inT=254.2 kip-indi=2.3 indo=3.5…

Q: A cantilever beam AB, loaded by a uniformload and a concentrated load (see figure), is constructedof…

A: calculate  the maximum bending moment for the cantiliver beam which accours at…

Q: Problem-3 Two wooden pieces 200mm x 100 mm in cross section are joined together along a line AB as…

A: Given breadth of the wooden piece (b)=100mm Height of the wooden piece (h)=200mm The stress acting…

Q: A sign is supported by a pipe (see figure)having an outer diameter 110 mm and inner diameter90 mm.…

A: Given that, Outer diameter of pipe, do=110 mm,Inner diameter of pipe, di=90 mm,Wind pressure, P=1.5…

Q: 250 N 200 N A 2 m 2 m 500 N The bended pipe shown in the figure has a hollow circular cross section…

A: Write the given data with suitable variables.

Q: A thin-walled circular tube and a solid circular bar of the same material (see figure) are subjected…

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Q: applied to the beam in the figure with the notches below and a hole of diameter d in the middle.…

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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 horizontal beam AB with cross-sectional dimensions (b = 0.75 in.) X (h = 8.0 in.) is supported by…

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Q: The figure shows a rectangular section beam with a distributed load of 3 KN/m. Decide: The maximum…

A: Consider a beam having Area Moment of Inertia I and Young's modulus E is subjected to bending moment…

Q: A pin-connected truss composed of members AB and BC is subjected to a vertical force P= 40 kN at…

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Q: A cantilever beam with a T-section is loaded by an inclined force of magnitude 6.5 kN(see figure),…

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Q: A round steel pipe of inside diameter d=500 mm and wall thickness t=12 mm is filled with concrete…

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Q: The outer diameter of the solid steel pipe shown in the figure is 25 mm. If the pipe is fixed at…

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Q: A pressurized cylindrical tank with flat endsis loaded by torques T and tensile forces P (see…

A: Given data as per question The internal pressure p = 7.25 MPa  Torque T =850 N .m. t = 6.5 mm

Q: A railroad tie (or sleeper) is subjected to two rail loads, each of magnitude P = 165 kN, acting as…

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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: In the figure, the steel shaft with a diameter of 36 mm is 240 mm diameter pulley. Belts also formed…

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Q: A cantilever beam of rectangular cross section is subjected to a concentrated load P = 150 kN acting…

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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: Ahorizontal beam AB with cross-sectional dimensions 4 ft -5 ft Ab # 075 in.)X h#8.0 in. is supported…

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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: A horizontal beam AB of 1.8-2 cross-sectional dimensions (b X h = 19 mm x 200 mm) is supported by an…

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Q: A solid steel bar of diameter d1= 25.0 mm is enclosed by a steel tube of outer diameter d3= 37.5 mm…

A: Torsion When object is subjected to torque then object gets twisted and that is called as torsion.…

Q: A cantilever beam of rectangular cross section is subjected to a concentrated load P = 150 kN acting…

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Q: A column with a wide-flange section has a flange width b = 200 mm , height h = 200 mm , web…

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Q: A (14-ft long) simply supported timber beam subjected to shear force of (3-kip) as shown in Figure.…

A: Given data as per question Shear force on beam =3 kip Length of the beam =14 ft Moment of inertia…

Q: Problem 4: A barge shown in the figure carries 290kN/m and 580KN/m loads. 3m 6m Зт 580 kN/m a. Find…

A: The given beam is as shown below, Let the upward load acting on the beam is w, (a) Balancing…

Q: olid steel bar of diameter di = 1.4 in. is enclosed by a steel tube of outer diameter dz = 2.25 in.…

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Q: The hollow circle cross section of the simply supported beam shown in the figure. Find the maximum…

A: For solution refer below images.

Q: A flat bar of rectangular cross section, length L, and constant thickness tis subjected to tension…

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Q: A circular cross-section Beam has a simple headstock from the ends, as shown in the figure, Q is…

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Q: An L-shaped bracket lying in a horizontal plane supports a load P =1501b (see figure). The bracket…

A: Given Data The load acting at the support is: P=150 lb The thickness is: t=0.125 in The breadth is:…

Q: F4.A rectangular steel beam between two rigid walls, 96 in. apart, is heated to a uniform…

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Q: A bimetallic beam used in a temperature-control switch consists of strips of aluminum and coppe…

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Q: A cylindrical tank subjected to internal pressurep is simultaneously compressed by an axial forceF =…

A: A cylindrical vessel or shell may be thin or thick depending upon the thickness of the plate in…

Q: A composite beam consisting of fiberglass faces and a core of particle board has the cross section…

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Q: In the solid circular section bar with radius R=10mm in the figure, due to the given loading, Find…

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Q: A pressurized steel tank is constructed with a helical weld that makes an angle a = 55° with the…

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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.