A steel tube of outer diameter 86mm and inner diameter 52mm is under pure torsion. The diameter of a solid steel shaft that resists the same torque at the same maximum shear stress is?
Q: QL3P2 Determine an appropriate size for a square cross-section solid steel shaft, in inches to four…
A:
Q: A solid steel shaft 5 m long is stressed at 80 MPa when twisted through 4°. Using G = 83 GPa,…
A:
Q: 4. Compute for the induced stress, in MPa, of a steel solid shafting of 6 cm diameter and 5 m in…
A:
Q: A hollow bronze shaft (G=5000ksi) has an outer diameter of 3in and a wall thickness of 0.25in. The…
A: Given data: Converting all data into SI units. Modulus of rigidity G=5000 ksi=34473.8 Mpa Outer…
Q: According to a stiffness based design, a solid shaft has a diameter 50mm and the shear modulus of…
A: here, G= 35 Gpa = 35000 Mpa d = 50mm J = pi×d^4/32 mm4 Torsional rigidity = G×J.
Q: A solid steel shaft must not twist through more than 30 in a 6-m length when ted to a torque of 12…
A: Given Twist angle = 30 Length = 6m Torque = 12 kNm Modulus of rigidity = 83 GPa To find Smallest…
Q: A solid circular shaft of diameter 60mm is subjected to an axial stress of 20 MPa. It is further…
A:
Q: A 75mm shaft is subjected to 5KN-m torque. Find the stress developed in MPa.
A: Dear student, there are multiple question and we are suppose to solve only one question. Also in…
Q: 3.51 Fig. shows a circular steel bar. (a) and Fig. square steel bar (b) have the same torque T…
A: Givenfor circular shaft r=aπfor square shaftside=a
Q: " A thick steel cylinder which has an inside diameter of 1m is subjected to an internal pressure of…
A:
Q: A hollow steel shaft is to transmit 5,605 N·m of torque and is to be sized so that the torsional…
A:
Q: Find the torsional shear stress on a 2 inch diameter shaft if it is subjected to a torque of 561…
A: Given diameter of shaft = 2 inch. Torque=561in-lb.
Q: Compute the torsional shear stress in a circular shaft with diameter of 50mm that is subjected to a…
A:
Q: A 50-mm diameter solid shaft, with a length of 1 meter, is supported at one end and free in the…
A: following is the solution for the above problem-
Q: (5) A 76mm solid shaft is to be replaced with a hollow shaft of the same torsional strength.…
A: When an amount of force applied on the object, then it has the tendency to rotate that object about…
Q: A solid circular shaft is subjected to pure torsion. The ratio of maximum shear to maximum normal…
A: Since the solid circular shaft is subjected to pure tension therefore σx=0 and σy=0 Maximum…
Q: A hollow shaft is subjected to a torque of 40 kN-m and a bending moment of 60 kN-m. Equivalent…
A:
Q: A hollow steel shaft with an outside diameter of 80 mm and a wall thickness of 11 mm is subjected to…
A:
Q: A hollow aluminum rod has a max shear stress of 0.075 GPa. What is the maximum torque that can be…
A: Given: The maximum shear stress is τ=0.075 GPa. The outer diameter is D=0.8 m. The thickness is t=5…
Q: a solid rod with a circular cross-secton is subject to a torque of 253 N.m. if diameter of the rod…
A:
Q: Calculate the torsional shear stress because of a torque of 88 in-lb in a circular shaft having a…
A:
Q: The internal diameter of a hollow shaft is 2/3 rd of its external diameter. Compare the strength and…
A:
Q: A solid circular shaft of diameter 100 mm is subjected to an axial stress of 50 MPa. It is further…
A: Given, Diameter of shaft = d = 100 mm Axial stress = σa = 50 MPa Torque = T = 10 kNm = 10 x 106 Nmm…
Q: Derive a relation for the shear stress developed in a shaft, when it is subjected to torsion.
A: Torsion: Twisting moment is called as torsion. The twisting moment is nothing but the applied torque…
Q: A shaft with a hollow cross section is subjected to torque of magnitude T = 5.5 kN-m. If the outer…
A:
Q: For the indicated part. What would be the maximum torque that can be applied to the indicated part…
A: Torsional moment is applied across longitudinal axis the variations of which varies linearly and its…
Q: A solid circular shaft of diameter 100 mm is subjected to an axial stress of 50 MPa. It is further…
A: Given, Diameter of shaft = d = 100 mm Axial stress = σx = 50 MPa = 50 N/mm2 Torque = T = 10 kNm = 10…
Q: A composite shaft is made of slipping a bronze tube of 3-in. outer diameter and 2-in. inner diameter…
A: Calculate the polar moment of inertia of the solid steel shaft-Jst=π32D4Where-D=diameter of steelD=2…
Q: Maximum shear stress developed on the surface of a solid circular shaft under pure torsion is 240…
A: Given data: - The maximum shear stress on the circular shaft is τ = 240 MPa.
Q: 1. Derive a relation for the shear stress developed in a shaft, when it is subjected to torsion.
A: Dear student, According to the guidelines I am allowed to answer only one…
Q: What power in kW a 10-mm diameter solid shaft at 30 rev/sec can transmit if the allowable torsional…
A: Given that: d = 10 mm N = 30 rev/s τ = allowable shear stress = 40 MPa (N/mm2) It is required to…
Q: Maximum shear stress developed on the surface of a solid circular shaft under pure torsion is 235…
A:
Q: An 1.5-meter shaft supports a gear weighing 37 kN at the center. What is the diameter of the shaft…
A:
Q: A composite shaft is made of slipping a bronze tube of 3-in. outer diameter and 2-in. inner diameter…
A:
Q: solid steel shaft must not twist through more than 3° in a 6-m length when subjected to a torque of…
A:
Q: A solid circular shaft needs to be des transmit a torque of 50 N.m. If the allowa stress of the…
A: Given:Torque, T=50 N-mshear stress, τ=140 MPafos, N=2
Q: A hollow aluminum rod has a max shear stress of 0.075 GPa. What is the maximum torque that can be…
A:
Q: Prob. # 3] The torsional deformation of a steel shaft is 1° in a length of 2 ft when the shearing…
A: Given data, L= 2ft= 24in. θ= 1°= 0.0174533 rad S= 10000 psi G= 12*10⁶ psi
Q: Calculate the required thickness (in mm) of a hollow shaft with outer radius 27.9 mm, required to…
A: Given data: The outer radius is r0=27.9 mm The torsional moment is T=975 Nm Maximum allowable…
Q: Engineering Mechanics problem. A solid circular steel shaft having an outside diameter of D = 0.75…
A:
Q: The flanges used in the connection of the two shafts are connected to each other with 6 bolts. The…
A: Given is shaft diameter (ds) = 100 mm Torque (T) = 300 N-m diameter of circle passing through bolt…
Q: A hollow nickel steel shaft with outside diameter is twice the inside diameter is to transmit 1492…
A:
Q: A shaft drives a gear set that is transmitting 5 hp at 1750 rpm. The diameter of the shaft is 0.75…
A:
Q: A shaft is 21/2 in. square, and the allowable shearing unit stress for the material is 6000 psi. The…
A:
Q: A hollow steel shaft is stressed to 35 MPa by a torque of 200000Nm. Determine the outside diameter…
A:
Q: What is the max shear stress on a shaft under a torque of T = 54.167 lb-ft having a diameter of 0.75…
A: Given:T=54.167 lb.ftd=0.75 in
Q: The solid cast-iron shaft shown in Fig.a is subjected to a torque of T = 400 lb # ft. Determine its…
A: Maximum shear stress,τmax=TrJwhere,r=radius of shaftT=torque=400 lb.ftJ=Polar…
Q: (a) A 5m hollow rod with an inner and outer diameter of 30 cm and 45 cm respectively is subjected to…
A: GIVEN: * L= m* Do=45 cm=0.45 m* Di=30 cm=0.3 m T=10 GNm=10×109 NmG=200GPa=200×109 Pa TO FIND: The…
Q: A solid circular shaft of diameter 100 mm is subjected to an axial stress of 50 MPa. It is further…
A: Data given- d = 100 mm T = 10 × 103 N-m = 10 × 106 N- mm Axial stress = 50 MPa
Step by step
Solved in 2 steps with 1 images
- 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).A thin tubular shaft with a circular cross section (see figure) and with inside diameter 100 mm is subjected to a torque of 5000 N · m. If the allowable shear stress is 42 MPa, determine the required wall thickness t by using (a) the approximate theory for a thin-walled tube and (b) the exact torsion theory for a circular bar.A hollow bronze shaft (G=5000ksi) has an outer diameter of 3in and a wall thickness of 0.25in. The permitable shear stress in the shaft is 9ksi and the angle of twist must be 0.035rad. Find: a- The max horsepower that can be transmitted by the shaft if the rotation speed is 130 rpm b - The max horsepower that can be transmitted by the shaft if the rotation speed is raised to 510rpm
- A hollow shaft for a rotary compressor is to be designed to transmit a maximum of torque of 4750 N-m. The shear stress in shaft, if the ratio of the inside to the outside diameter is 0.4A drive shaft running at 2500 rpm has outer diameter of 80mm and innerdiameter of 60mm. The allowable shear stress in the shaft is 40MPa. Determine themaximum power that can be applied.A 5 ft long solid SAE4340 OQT1000 steel shaft is required to transmit a power of 180 HP. The shaft speed is 3,000 rpm. The allowable shear stress is 50 ksi and the allowable angle of twist per foot of length is 0.04 radians. Determine the minimum diameter that meets the design requirements.
- A solid steel shaft must not twist through more than 30 in a 6-m length whensubjected to a torque of 12 kN • m. (a) Find the diameter of the smallest shaft that can be used. (b) What is the maximum shear stress in the shaft of this diameter? Use G = 83 GPa for steelA 5 ft long solid SAE4340 OQT1000 steel shaft is required to transmit a power of 180 HP. The shaft speed is 3,000 rpm. The allowable shear stress is 50 ksi and the allowable angle of twist per foot of length is 0.04 radians. Determine the minimum diameter that meets the design requirements. Note- Shear modulus for steel is given in imagesCalculate the maximum and minimum shear stress in a hollow circular shaft of outer diameter 20 mm and thickness 2 mm, subjected to a torque of 92.7 N-m.
- The torque transmitted by a solid shaft of diameter 10 mm and shear stress 75 MPa Select one: a. 14.72x109 N-m b. 14.72 kN-m c. 147.2 N-mm d. 14.72 N-mcomplete solution A solid steel shaft must not twist through more than 30 in a 6-m length whented to a torque of 12 kN • m. (a) Find the diameter of the smallest shaft thatcan be used. (b) What is the maximum shear stress in the shaft of this diameter? UseG = 83 GPa for steel.Determine the minimum diameter that can be used for a solid circular steel shaft which is limited to an allowable shear stress of 70 MPa and a maximum angle of twist of 1.5o (degrees) per meter length. Applied maximum torque is 25 KN-m and the overall shaft length is 1.25 meters. Shear modulus = G= 80 GPa Note: When using torsion stress formulas, you must convert the angle of twist from degrees to radians.