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?).…
A:
Q: A shaft 80 mm diameter transmits power at maximum shear stress of 63 MPa. Find the length of a 20 mm…
A:
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…
A:
Q: A solid circular drive shaft of length = 0.5 m, is to be designed to transmit up to 45000 W at 1800…
A:
Q: The drive shaft for a truck (outer diameter 60 mm and inner diameter 40 mm) is running at 42 Hz. If…
A:
Q: A shaft of uniform solid circular section is subjected to a torque of 1500 N m. Determine…
A:
Q: (1) A steel cylinder (Oyp = 260 MPa) of inner radius a and outer radius 3a is subjected to an in %3D…
A:
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…
A:
Q: The hollow ship shaft shown in the figure; It transmits 9880 hp and rotates at 3940 rpm. Since the…
A:
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…
A:
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…
A:
Q: consider two shafts in torsion, each of the same material, length, and cross-see tional area.…
A:
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…
A:
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…
A:
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…
A:
Q: A vertical rod of length L and diameter d is fixed at its upper end and carries a load Wat its lower…
A:
Q: ions of the cross section of the leading edge and torsion box of an airplane wing ted as shown. If…
A:
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…
A:
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
A:
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
A:
Q: A 7/8 in. diameter shaft made out of ductile material is used to transmit power from motor. The…
A:
Q: A steel bar withstands simultaneously a 30 kN compressive force, a 5 kNm bending moment and a 1kNm…
A:
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…
A:
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…
A:
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…
A:
Q: The shaft assembly is made from a steel tube 1 in. in diameter, which is bonded to a solid brass…
A:
Q: A shaft is required to transmit power 1MW at 240r.p.m. The shaft must not twist more than 1 degree…
A:
Step by step
Solved in 2 steps
- A circular tube AB is fixed at one end and free at the other. The tube is subjected to concentrated torques as shown in the figure. If the outer radius of the tube is 1.5 in, and the thickness is 3/4 in., calculate the strain energy stored in the tube. Let G= 11,800 ksi.-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?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?
- A thin-walled aluminum tube of rectangular cross section (sec fig me) has a centerline dimensions b = 6.0 in. and b = 4.0 in. The wall thickness t is constant and equal to 0.25 in. Determine the shear stress in the tube due to a torque T = 15 kip-in. Determine the angle of twist (in degrees) if the length L of the tube is 50 in. and the shear modulus G is 4.0 x 106 psi.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.A propeller shaft for a small yacht is made of a solid steel bar 104 mm in diameter. The allowable stress in shear is 48 MPa, and the allowable rate of twist is 2.0° in 3.5 meters. (a) Assuming that the shear modulus of elasticity is G = 80 GPa, determine the maximum torque that can be applied to the shaft. (b) Repeat part (a) if the shaft is now hollow with an inner diameter of 5d18. Compare values to corresponding values from part (a).
- 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 thin-walled hollow tube AB of conical shape has constant thickness I and average diameters dAand dBat the ends (see figure). Determine the strain energy U oT the tube when it is subjected to pure torsion by torques T, Determine the angle of twist of the tube. Note: Use the approximate formula / ird^tlA for a thin circular ring; see Case 22 of Appendix E.A stepped shaft of solid circular cross sections (see figure) has length L = 0.80 m, diameter d2= 40 mm, and diameter d2= 30 mm. The material is steel with G = 80 GPa. Determine the strain energy U of the shaft if the angle of twist is 1.0º.
- A thin-walled rectangular tube has uniform thickness t and dimensions a x b to the median line of the cross section (see figure). How does the shear stress in the tube vary with the ratio = a/b if the total length Lmof the median line of the cross section and the torque T remain constant? From your results, show that the shear stress is smallest when the tube is square (ß = 1).A circular copper bar with diameter d = 3 in. is subjected to torques T = 30 kip-in. at its ends. Find i lie maximum shear, ion si le. and compressive stresses in the tube and their corresponding strains. Assume that G = 6000 ksi.Solve the preceding problem for an aluminum plate with h = 10 in.. i = 0.75 in., E = 10,600 ksi, v = 0.33. P = 96 kips. Pt,. = 24 kips. and V =18 kips. For part (b) of Problem 7.5-12, assume that the required strain energy stored is 640 in.-lb. In part (c). the change in volume cannot exceed 0.05%.