A hollow circular shaft of inner radius 10 mm outer radius 20 mm and length 1 m is to be used as a torsional spring. If the shear modulus of the material of the shaft is 150 GPa, the torsional stiffness of the shaft (in kN-m/rad) is (correct to two decimal places).

A hollow circular shaft of inner radius 10 mm outer radius 20 mm and length 1 m is to be used as a torsional spring. If the shear modulus of the material of the shaft is 150 GPa, the torsional stiffness of the shaft (in kN-m/rad) is (correct to two decimal places).

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter3: Torsion

Section: Chapter Questions

Problem 3.11.10P: Compare the angle of twist 1 for a thin-walled circular tube (see figure) calculated from the...

See similar textbooks

Related questions

Q: 2. A rigid bar, hinged at one end, is supported by two identical springs as shown in the Fig. Each…

Q: A solid bar of circular cross section has a diameter of 40mm and length of 1300mm. G=80GPa and…

A: Given T = 340Nm. , d = 40mm = 0.04m.

Q: A solid and a hollow shaft, connected by a coupling, transmit power. The outside diameters of the…

Q: d Bronze B Steel - b–

Q: a. A mass M of 200 kg is dropped onto the rigid member AB as shown in Figure 3. Assuming that 75…

Q: A cylindrical rod AB is made of aluminum is connected at B to a brass cylindrical rod BCD as shown…

Q: closely coiled helical spring is made of 10 mm diameter steel wire, the mean diameter of the coil…

A: Given:d=10 mmD=68.4 mmn=8G=100 KN/mm2P=807 N

Q: The compound shaft is attached to a rigid wall at each end. For the bronze segment AB, the diameter…

Q: A hollow circular section shaft 2.5 m long is firmly supported at each end and has an inside…

Q: A steel axle is made from tubes AB and CD and a solid section BC. It is supported on smooth bearings…

A: The polar moment of inertia of the hollow shaft is The polar moment of inertia of the solid shaft…

Q: A hollow steel shaft, 500 mm outside diameter and 300 mm inside diameter, has a coupling 80 mm thick…

A: Given data: Outside diameter of hollow shaft = 500 mm Inside diameter of hollow…

Q: 1.24 Find the length of the equivalent uniform hollow shaft of inner diameter d and thickness / that…

A: Solution: here l2 is the hallow shaft solid conical shaft length 'l' is show in…

Q: The constant wall thickness of a steel tube with the cross section shown is 2 mm. If a 600-N m…

A: Given data: d=10 mmri=9 mmt=2 mmro=11 mmT=600 N.mG=80 GPa Need to determine the shear stress in the…

Q: The shaft of a motor has a length of 15 times its diameter and has a maximum twist of 1.5 degrees…

A: Given: The length of shaft of motor, L = 15d The maximum twist in shaft = 1.5o The torque applied, T…

Q: A heavy-duty helical spring is to be made by wrapping a steel rod 10.6 mm in radius around forming…

Q: the twisting angle. The modulus of Rigidity for the shaft is 20 GN/m? • for the missing torque T =…

A: For the shafts in series,…

Q: A hollow circular shaft of inner radius 10 mm outer radius 20 mm and length 1 m is to be used as a…

A: Given Data⇒ Hollow circular shaft Inner radius (r)=10 mm Outer radius (R)=20 mm Length (L)=1 m shear…

Q: A hollow steel shaft, 12 m long, is required to transmit 1000 kW when running at a speed of 300…

A: Given that , L=12m =12000mm P=1000 kW =1000×106N-mm/s

Q: A rigid bar, hinged at one end, is supported by two identical springs as shown in Fig. P-349. Each…

Q: Determine the minimum diameter that can be used for a solid circular steel shaft which is limited…

Q: A solid shaft BC is fixed at the B end and subjected to torque T at the C end, as shown below. The…

Q: A solid steel shaft is subjected to torsional loadings. If T=10 kN-m. T= 45 MPa, the diameter of the…

Q: A hollow shaft for marine applications has outer and inner diameters of 400 mm and 200 mm…

A: Given: The outer diameter of shaft, D = 400 mm = 0.4 m The inner diameter of shaft, d = 200 mm = 0.2…

Q: When subject to an applied torque,a circular shaft of length 600mm twists through an angle of 2°,if…

Q: 5. The shaft of a motor has a length of 15 times its diameter and has a maximum twist of 1.5 degrees…

Q: The circular shaft shown is subjected to an axial force P at its free end and a compressive force of…

A: Answer: The maximum allowable value of load P is 11.66 kips.

Q: Two aluminum circular shafts (E=70GPA) are mounted according to the figure. The two shafts have the…

A: r1 = 6.9 mm r2 = 11.11 mm L1 = 1.52 m L2 = 1.29 m P = 2.1 kN

Q: The compound shaft is attached to a rigid wall at each end. For the bronze segment AB, the diameter…

Q: A solid steel shaft, 90 mm in diameter is coupled in series to a hollow shaft with an external…

A: internal diameter (di)=90mmexternal diameter(d0)=100mmG=80GPa

Q: 40 N.m Da 0.5 m 280 N.m 150 N.m 2 0.3 m 0.4 m

Q: The compound shaft is attached to a rigid wall at each end. For the bronze segment AB, the diameter…

Q: 3. Shafts AB and BC (each 50 mm long) are welded to each other. Shaft AB is hallow with 20 mm inner…

A: Given dataLength of the shaft AB and BC = 50mmShaft AB inner raius ri = 20mmShaft AB outer radius ro…

Q: the cross-stctions e-e and f-f, respectively, when a torque T = 800 Nm is applied at point B. Take…

Q: he diameter of pulley A is 150 mm and the diameter of pulley B is 480 mm. The allowable tensile…

Q: Let's consider a solid circular rod having a diameter D = 30 mm subjected to a triangular…

A: Given: The diameter of rod, D = 30 mm The elastic modulus, E = 4 GPa The intensity of load…

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: A steel shaft ABC connecting three gears consists of a solid bar of diameter d between gears A and B…

A: Given Data: The value of T1 = -240 N-m. The value of T2 = 540 N-m. The value of T3 =- 300 N-m. The…

Q: Figure Q1 shows a shaft AB (modulus of rigidity G = 73 GPa) with a total length of 1270 mm that is…

Q: A steel bar withstands simultaneously a 30 kN compressive force, a 5 kNm bending moment and a 1kNm…

Q: A steel shaft (G = 80 GPa) with an external drive of 30mm must transmit a torque of 2700 N-m. The…

Q: A steel shaft A of diameter d'and length Lis subjected to a torque T. Another shaft B made of…

A: We are asked to find shear stress in aluminium and we are aware of shear stress in steel. From…

Q: Problem 2

Q: is the polar modulus value for a solid shaft of diameter 8 cm. Select one: -6 O a. 4.02 x 10 O b. 1…

A: We have to find polor modulus

Q: The internal diameter of a hollow shaft is 2/3 rd of its external diameter. Compare the strength and…

A: Given that: For a hollow shaft, internal diameter is 2/3rd of external diameter. It is required to…

Q: An 66 mm diameter alloy shaft is 6.5 m long and subjected to twisting. The shaft is attached to a…

Q: How many kN.m torque should the shaft carry? b) Write down the minimum safe shaft radius in meters…

A: Given: Circular shaft L= 3 m P=12300 kW N=220 rpm shear yield stress= 190 MPa Shear modulus=80 GPa…

Q: The compound shaft is attached to a rigid wall at each end. For the bronze segment AB, the diameter…

Q: Two solid circular shafts are connected through a flange bolt coupling consisting of 3 circular bolt…

Q: A shaft is required to transmit power 1MW at 240r.p.m. The shaft must not twist more than 1 degree…

Question

O A hollow circular shaft of inner radius 10 mm outer
radius 20 mm and length 1 m is to be used as
a torsional spring. If the shear modulus of the
material of the shaft is 150 GPa, the torsional
stiffness of the shaft (in kN-m/rad) is
(correct to two decimal places).

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

Solve the preceding problem for the following data:P = 160 kN,JV = 200 tN,L = 2 m,b = 95 mm, h = 300 mm, and d = 200 mm
Compare the angle of twist 1 for a thin-walled circular tube (see figure) calculated from the approximate theory for thin-walled bars with the angle of twist 2 calculated from the exact theory of torsion for circular bars, Express the ratio 12terms of the non-dimensional ratio ß = r/t. Calculate the ratio of angles of twist for ß = 5, 10, and 20. What conclusion about the accuracy of the approximate theory do you draw from these results?
Repeat Problem 3.3-1, but now use a circular tube with outer diameter d0= 2.5 in. and inner diameter di= 1.5 in.
A hollow circular shaft of inner radius 10mm, outer radius 20mm and length 1m is to be used as a torsional spring. If the shear modulus of the material of the shaft is 150 GPa, Calculate the torsional stiffness of the shaft (in kN-m/rad).
A makeshift compact torsional spring is made of steel (Gst = 11,000,000 psi) and is composed of a solid inner shaft from C to B and a hollow shaft from A to B. The solid and hollow shafts are connected through an unyielding ring at B. The necessary radiuses are shown below. Assume the ring attached to the hollow shaft at A is rigid with no rotation. If the torque applied T at point C is 2 kip-in, find the: - Maximum shear stress in the solid inner shaft, ksi b. Maximum shear stress in the hollow outer shaft, ksi c Angle of twist at point C, degrees 12 in. 12 in. B 0.75 in. T 1 in. 0.6 in.
A makeshift compact torsional spring is made of steel (Gst = 11,000,000 psi) and is composed of a solid inner shaft from C to B and a hollow shaft from A to B. The solid and hollow shafts are connected through an unyielding ring at B. The necessary radiuses are shown below. Assume the ring attached to the hollow shaft at A is rigid with no rotation. If the torque applied Tat point C is 2 kip-in, find the: a Maximum shear stress in the solid inner shaft, ksi a. Maximum shear stress in the hollow outer shaft, ksi c Angle of twist at point C, degrees 12 in. 12 in. B 0.75 in. T 1 in. 0.6 in.
- A flat spiral steel spring is to give a maximum torque of 1500 N-mm for a maximum stress of 1000 MPa. • Find the thickness and length of the spring to give three complete turns of motion, when the stress . decreases from 1000 to zero. The width of the spring strip is 12 mm. The Young's modulus for the material of the strip is 200 kN/mm2.
The 500 N load is acting on the helical compression spring with 20 number of turns. The helical spring is having the mean diameter of 12cm,spring wire diameter is 6mm. Find the spring inside diameter. Select one: O a. 114 mm O b. 52mm O c. 150mm O d. 20mm
Design a helical spring to be used in spring balance with a wire diameter of 6mm and the outside diameter should be limited to 66mm. if the permissible shear stress of the spring material is 325 N/mm? and the Modulus of rigidity is 85kN/mm?. a) Compute the deflection of spring per active turn and the axial load on the spring considering the effect of curvature, take Wahl's factor as Kw= 1.1 b) Calculate the value of axial load neglecting the effect of stress factor. **Note: Please upload your handwritten working/solution to the link provided. The value of Mean diameter of the spring in mm . The Spring Index is. Shear stress factor, neglecting curvature effect . Deflection per active turn in mm Axial Load W in N .. Axial Load W in N. considering effect of curvature .
The shaft of a motor has a length of 15 times its diameter and has a maximum twist of 1.5degrees when twisted at 2.5 KN-m torque. If the modulus of rigidity of the shaft is 83 Gpa,find the shaft diameter in m
A spring with squared and ground ends is used for a load and deflection of 1.2 kN and 20 mm, respectively, with a spring index of 4. The wire diameter is 6 mm and the modulus of rigidity is 84 GPa. Which of the following is the active number of turns of the spring?
Q-2) Considering the effect of curvature A helical spring is made from a wire of 6 mm diameter and has outside diameterof 75 mm. If the permissible shear stress is 350 MPa and modulus of rigidity 84 kN/mm2, find the axial load which the spring can carry and the deflection per active turn.