PROBLEM 3.3-20

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: Problem #7: For the structure below find the maximum absolute vertical shear stress (Oxy) anywhere,…

A: Draw the above structure and mention the load location point as given below. Here RA signifies…

Q: Q2: A bar of steel, having a rectangular cross-section of 7.5 cm by 2.5 cm (see figure below),…

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Q: Q.6. A circular bar AB with ends fixed against rotation has a hole extending for half of its length…

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Q: 6. The steel shaft of a socket wrench is 12 mm in diameter and 450 mm long (see figure). If 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 rectangular plate with notches (see figure) has dimensions h=5.75 in, h1 = 5 in and the plate…

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Q: 3.3-13 A vertical pole of solid circular cross section is twisted by horizontal forces P= 1100 Ib…

A: GIVEN :- P=1100lb c=5.0in τallow=4500psi   SOLUTION :-we know that,τmax=TrJ=Td2Jwhere…

Q: 1.7-9 A hollow, brass circular pipe ABC (see figure) supports a load P = 26.5 kips acting at the…

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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: A tubular aluminum bar (G = 28 GPa) of sque cross section in Figure with outside dimension 50 mm x50…

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Q: Problem 4 A cylindrical pressure vessel with radius r =200 mm and wall thickness t =10 mm is…

A: INTRODUCTION : Hydraulic cylinders, cannon barrels, pipes, boilers, and tanks are examples of…

Q: Two steel tubes are joined at B by four pins (d p =11mm), as shown in the cross section a–a in the…

A: Given: d p =11mm  tAB = 6.5 mm  tBC = 7.5 mm In tension σY = 200 MPa σU =340 MPa To determine: the…

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

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Q: BP2) A 6" diameter pulley attached to a 1" diameter shaft of 2" length is supporting a load of 2000…

A: Given,   We know that principle stresses are given by,   Which gives,

Q: A simply supported beam -b<y<b, 0 <x<L, as shown below, is subjected to a compressive load of half…

A: σy= -3  4bx δ2Mδx2[y33b2-y] +c3f(x)+c4σy=0 at uy=-bc3f(x)+c4=34 δ2Mσx2 x 23=      σy=-3…

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: 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: The composite beam in the figure is made of steel and aluminum. Beam In steel and aluminum as it is…

A: Given: Esteel=210GPa Eal=70GPa M=2kNm Solution: The position of the neutral axix is exactly at the…

Q: A copper tube with circular cross section has length L 5 1.25 m, thickness t 5 2 mm, and shear…

A: Given: L = 1.25 m t = 2 mm T = 25 MPa G = 45 GPa Now, Using torsion equation,

Q: A standard brick (dimensions 8 in. 3 4 in. 32.5 in.) is compressed lengthwise by a force P, as…

A: Given             Shear stress = 1200 psi  Compressive stress = 3600 psi Find   Maximum load, Pmax

Q: A cylindrical pressure vessel with flat ends is subjected to a torque T anda bending moment M (see…

A: Cylinder stress is a stress distribution with rotational symmetry in mechanics, meaning that it does…

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 solid bar having a diameter 150 mm is to be replaced by a square tube having a cross-sectional…

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Q: A prismatic bar of length L with a solid circular cross section of diameter d is loaded by a…

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Q: A solid steel bar of diameter d, = 26.0 mm is enclosed by a steel tube of outer diameter d diameter…

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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 plastic bar of diameter d = 51 mm is to be twisted by torques T (see figure) until the angle of…

A: Given: d = 51 mm    angle of twist = 4 o   To find:  a) If Shear strain = 0.011 rad then L max = ?…

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: 7) Consider the beam in the figure below. Take w=50 kN/m. The 40 kN force makes an angle of 60…

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Q: A thin-walled cylindrical pressure vessel of a radius r is subjected simultaneously to internal gas…

A: Given                   Force, F = 190 kN Internal pressure p = 12 MPa    Inner diameter, d = 200 mm…

Q: A stepped shaft ABC consisting of two solid circular segments is subjected to torques '1 and T,…

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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: Consider a circular hollow section, with outer diameter dD (in mm), and thickness tD (in mm). The…

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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: The composite beam shown in the Figure below is formed of a wood beam and a steel reinforcing plate.…

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Q: A copper tube with circular cross section has length L = 1.55 m, thickness t = 2 mm, and shear…

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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: A flanged wooden shape is used to support the loads shown on the beam. The dimensions of the shape…

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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: The circular cross-section, L=0.5m long console BC shaft in the figure is forced to twist with P1=2…

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Q: M-2000 Ncm 500 Ncm M-800 Nem M300 Ncm M-400 Ncm A B- L-20cm M.

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Q: Q2: A bar of steel, having a rectangular cross-section of 7.5 cm by 2.5 cm (see figure below),…

A: Given data: Width of bar, w = 7.5 cm. Height of the bar, h = 2.5 cm. Length of the bar, L = 100 cm.…

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: A fuselage with a circular cross section has 16 stringers, which 4 stringers were fitted at the axes…

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

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Q: A round shaft of diamater D = 65 mm with a groove cut into it where the diameter decreases to d = 50…

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Q: when a vertical P load is applied from the D end, the elongation amount in the CE rod will be 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.