A stepped steel shaft shown below is subjecte to 10 N-m torque. If the moduius of rigidity 80 GPa, the strain energy in the shaft in N-mm T = 10 Nm 25 mm
Q: A cylindrical shaft made of steel of yield strength 700 MPa is subjected to static loads consisting…
A: Givenσy=700 MPaτ=σyF.S×0.58=7002.1×0.58=193 MPaM=10 kN=10000 NT=30 kN=30000 N
Q: 4. A thin-walled steel cylinder is subjected to an internal fluid pressure of 21 bar (2.1 MN/m?).…
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Q: A shaft 80 mm diameter transmits power at maximum shear stress of 63 MPa. Find the length of a 20 mm…
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Q: 3.2-1 A copper rod of length L 18.0 in. is to be twisted by torques T(see figure) until the angle of…
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Q: A solid circular drive shaft of length = 0.5 m, is to be designed to transmit up to 45000 W at 1800…
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Q: The drive shaft for a truck (outer diameter 60 mm and inner diameter 40 mm) is running at 42 Hz. If…
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Q: A shaft of uniform solid circular section is subjected to a torque of 1500 N m. Determine…
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Q: (1) A steel cylinder (Oyp = 260 MPa) of inner radius a and outer radius 3a is subjected to an in %3D…
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Q: When a steel rod below is subjected to torque (T = 3 kN m) and bending moment (M = 2 kN m)…
A: Write the given data with suitable variables. M=2 kNmT=3kNmd=50 mm
Q: A solid shaft is required to transmit 90 kW of power at 200 rpm. Determine the shaft diameter by the…
A: The power P can be given by - P=90×1000=2πNT6090×1000= 2π×200×T60T=4297.18 NmThe shear stress can be…
Q: T T P4.3-5, P4.3-6, and P4.3-7 "Prob. 4.3-6. The solid shaft in Fig. P4.3-6 is made of an alu- minum…
A: GIVEN :-ζallow=10 KsiG=3800 Ksid=1.5 inL=32 inϕallow=0.1 radTO FIND :-Value of allowable torque :…
Q: A hollow circular section shaft 2.5 m long is firmly supported at each end and has an inside…
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Q: The hollow ship shaft shown in the figure; It transmits 9880 hp and rotates at 3940 rpm. Since the…
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Q: Will cause a shear stress of 6000 psi? 3.41 The constant wall thickness of a steel tube with the…
A: Given Radius, R = 10 mm Diameter, D = 20 mm Torque, T = 600 N. m Length, L = 30 mm Find…
Q: A stepped shaft ABCD consisting of solid circular segments is subjected to three torques, as shown…
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Q: GIVEN: Solid steel shaft shown below with a 12 mm diameter. Gstee = 80 x 10° N/m² E 40 N-m 280 N-m…
A: Given, d = 12 mm = 0.012 mGsteel = 80 × 109 N/m2LAC = 0.4 mLCD = 0.3 mLDE = 0.5 m From diameter,…
Q: A solid 1.375 in. diameter shaft is subjected to a torque of T = 340 lb ft and an axial load Pacting…
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Q: consider two shafts in torsion, each of the same material, length, and cross-see tional area.…
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Q: 3. A hollow steel shaft used in a construction auger has outer diameter dz-150 mm, and inner…
A: Given:Outer diameter, do=150mmInner diameter, di=100mmShear modulus of elasticity, G=75GPaTorque,…
Q: 4m solid core steel shaft with 50 mm diameter is fixed at its ends. It is subjected to a 400 N-m…
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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 steel and aluminum shafts with rigidity of (Gs = 77 GPa) and (Ga = 27 GPa) respectively. As shown…
A: The problem represents shearing of a composite shaft. The following diagram shows the dimensions of…
Q: The stepped shaft in the figure transmits 19.2 kW of power at 180 rpm. Maximum strain Determine the…
A: given data;power transmitted(P)=19.2KW =19.2*103w…
Q: A 1 m length of 50 mm diameter steel bar is subjected to a torque of 230 Nm. Calculate the maximum…
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Q: A rigid wheel 1.2 m in diameter is to be provided with a thin steel tyre. If the stress in the steel…
A: When an external force is applied to any body the body gets deformed. This deformation is resisted…
Q: Q2 /A hollow steel shaft transmits 200 kw of power at 150 rpm .The total angle of twist in length of…
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Q: A vertical rod of length L and diameter d is fixed at its upper end and carries a load Wat its lower…
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Q: ions of the cross section of the leading edge and torsion box of an airplane wing ted as shown. If…
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Q: A solid circular shaft has a diameter d and subjected to a bending moment M and torque T. The shaft…
A: Given data The diameter of solid shaft = d Bending moment = M torque = T yield strength of…
Q: the cross-stctions e-e and f-f, respectively, when a torque T = 800 Nm is applied at point B. Take…
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Q: A round steel rod is subjected to axial tensile stress of 50 MPa with superimposed torsional shear…
A: Given: The value of tensile stress is бx=50 MPa. The value of torsional shear stress is τxy=100…
Q: 8 in 5in 12 in S
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Q: 3 An aluminum (shear modulus = 2.8× 1010 Pa) rod is 25 mm in diameter and 50 cm long. One end is…
A: Write the formula for the angle of twist of the aluminum rod. θ=TLGJ Here, θ is the angle of twist,…
Q: T 100 mm 70 mm 70 mm 1.5 m 2 m T
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Q: A 7/8 in. diameter shaft made out of ductile material is used to transmit power from motor. The…
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Q: A steel bar withstands simultaneously a 30 kN compressive force, a 5 kNm bending moment and a 1kNm…
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Q: A shaft is transmitting 100 kW at 180 r.p.m. If the allowable stress in the material is 60 MPa, find…
A: Answer: The suitable diameter of the shaft is 105 mm.
Q: The stepped shaft in the figure transmits 19.2 kW of power at 180 rpm. Maximum strain Determine the…
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Q: A solid circular shaft has a diameter of d mm and is made from steel, which fail when tested in…
A: Given:Syt=150 MPaM=22.2 KN.mT=44.4 KN.m
Q: A circular shaft measuring 3 meters in length with an inner and outer radius of 30 mm and 60 mm…
A: Given data: Length of shaft, L =3 m Inner radius, r1=30 mm = 0.03 m Inner Diameter = 0.06 m Outer…
Q: A 10 cm diameter solid aluminum post is subjected to a horizontal force of V-7 kN and a concentrated…
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Q: When a steel rod below is subjected to torque (T = 1 kN · m) and bending moment (M = 4 kN m)…
A: Given data: The magnitude of torque is T = 1 kN.m. The magnitude of the bending moment is M = 4…
Q: A steel shaft of 75 mm diameter is pressed into a steel hub of 100 mm outside diameter and 200 mm…
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Q: The shaft assembly is made from a steel tube 1 in. in diameter, which is bonded to a solid brass…
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Q: A shaft is required to transmit power 1MW at 240r.p.m. The shaft must not twist more than 1 degree…
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- Solve the preceding problem if the cube is granite (E = 80 GPa, v = 0.25) with dimensions E = 89 mm and compressive strains E = 690 X l0-6 and = = 255 X 10-6. For part (c) of Problem 7.6-5. find the maximum value of cr when the change in volume must be limited to 0.11%. For part. find the required value of when the strain energy must be 33 J.-11 A solid steel bar (G = 11.8 X 106 psi ) of diameter d = 2,0 in. is subjected to torques T = 8.0 kip-in. acting in the directions shown in the figure. Determine the maximum shear, tensile, and compressive stresses in the bar and show these stresses on sketches of properly oriented stress elements. Determine the corresponding maximum strains (shear, tensile, and compressive) in the bar and show these strains on sketches of the deformed elements.A circular aluminum tube subjected to pure torsion by torques T(sec figure) has an outer radius r2equal to 1.5 times the inner radius r1. (a) If the maximum shear strain in the tube is measured as 400 × 10-6 rad, what is the shear strain y1at the inner surface? (b) If the maximum a1lo-abk rate of twist is 0.125 °/m and the maximum shear strain is to be kept at 400 × 10-6 rad by adjusting the torque T, that is the minimum required outer radius ( r2)Min?
- The normal strain in the 45n direction on the surface of a circular tube (sec figure) is 880 × 10 when the torque T = 750 lb-in. The tube is made of copper alloy with G = 6.2 × 106 psi and y = 0.35. If the outside diameter d2of the tube is 0.8 in., what is the inside diameter dt? If the allowable normal stress in the tube is 14 ksi, what is the maximum permissible inside diameter d?A stepped shaft ABC consisting of two solid, circular segments is subjected to torques T}and T2acting in opposite directions, as shown in the figure. The larger segment of the shaft has a diameter of dv- 2.25 in. and a length Lt= 30 in.; the smaller segment has a diameter d2— 1.75 in. and a length L, = 20 in. The torques are T, = 21,000 lb-in. and fz=10.000 lb-in. (a) Find reaction torque TAat support A. (b) Find the internal torque T(x) at two locations: x = L1/2 and x = L1+ L2/2. Show these internal torques on properly drawn free-body diagrams (FBDs).-7 A steel tube (G = 11.5 x 106 psi) has an outer diameter d2= 2.0 in. and an inner diameter dt=1,5 in. When twisted by a torque 7", the tube develops a maximum normal strain of 170 x 10-6. What is the magnitude of the applied torque T?
- Solve the preceding problem if the cross- sectional dimensions are b = 1.5 in. and h = 5.0 in., the gage angle is ß = 750, the measured strains are = 209 × 10-6 and B = -110 × 10, and the material is a magnesium alloy with modulus E = 6.0 X 106 psi and Poisson’s ratio v = 0.35.A tubular bar with outside diameterd2= 4.0 in, is twisted by torques T = 70,0 kip-in. (see figure). Under the action of these torques, the maximum tensile stress in the bar is found to be 6400 psi. Determine the inside diameter rtf of the bar. If the bar has length L = 48.0 in. and is made of aluminum with shear modulus G = 4,0 × 106 psi, what is the angle of twist d (in degrees) between the ends of the bar? (c) Determine the maximum shear strain y (in radians)?Solve the preceding problem for the following data: diameter LO m, thickness 48 mm, pressure 22 MPa, modulus 210 GPa. and Poisson's ratio 0.29
- A tubular shaft being designed for use on a construction site must transmit 120 kW at 1,75 Hz, The inside diameter of the shaft is to be one-half of the outside diameter. If the allowable shear stress in the shaft is 45 MPa, what is the minimum required outside diameter d?A solid brass bar of diameter d = 1.25 in. is subjected to torques T1as shown in part a of the figure. The allowable shear stress in the brass is 12 ksi. What is the maximum permissible value of the torques T1? If a hole of diameter 0.625 in. is drilled longitudinally through the bar, as shown in part b of the figure, what is the maximum permissible value of the torques T2? What is the percent decrease in torque and the percent decrease in weight due to the hole?A solid circular bar of diameter d = 50 mm (see figure) is twisted in a testing maching until the applied torque reaches the value T = 500 N ·. At this value of torque, a strain gage oriented at 45º to the axis of the bar gives a reading e = 339 × 10-6. What is the shear modulus G of the material?