30 mm PROBLEM 3.2 (a) Determine the torque T that causes a maximum shearing stress of 45 MPa in the hollow cylindrical steel shaft shown. (b) Determine the maximum shearing stress caused by the same torque T in a solid cylindrical 45 mm 2.4 m shaft of the same cross-sectional area. T = 5.17 kN - m T = 87.2 MPa

30 mm PROBLEM 3.2 (a) Determine the torque T that causes a maximum shearing stress of 45 MPa in the hollow cylindrical steel shaft shown. (b) Determine the maximum shearing stress caused by the same torque T in a solid cylindrical 45 mm 2.4 m shaft of the same cross-sectional area. T = 5.17 kN - m T = 87.2 MPa

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: A solid shaft in a rolling mill transmits a torque of 1600 N.m. Determine the diameter of the shaft…

A: Given Data T=1600 N.m = 16×105 N.mm Max. Shear stress=40 MPa Angle of twist=8° L=2500 mm G=83 GPa

Q: If the allowable shear strength of aluminum is 45 MPa, determine the minimum thickness, t, of the…

Q: A 88-N-m torque is applied to a hollow shaft having the cross section shown. Neglecting the effect…

A: The torque applied is

Q: must transmit the torque of 34 kN-m. The total angle of twist must not exceed 3°. The maximum…

Q: 2. In the gear system shown, the motor applies a torque of 600 N-m to the gear A. Shafts (1) and (2)…

Q: Problem 4 A solid circular drive shaft connect a motor to gears B and C. The torque on gear B is 600…

A: Torque on gear B = 600 Nm Torque on gear C = 200 NmG = 66 GPa = 66 × 109 PaDiameter d=25 mmRadius r…

Q: An aluminum rod AB of diameter 2.8 inches is connected to a lever of length L = 5.6 feet. Consider…

A: Given:diameter, d=2.8 inL=5.6 ftheight, H=3.4 ftTorsional shearing stress of aluminium, ζa=1111 psi

Q: II. Solve the problems below: 1. A rigid bar, pinned at O, is supported by a steel spring at A and a…

A: Answer: (a) The shearing stress in steel spring is 2.87 MPa. (b) The shearing stress in bronze…

Q: PROBLEM 3. A 5-m steel shaft rotating at 1.20 Hz has 72 kW applied at a gear that is 2 m from the…

A: When an object rotate about the point due to the linear force act on the object is known as the…

Q: What torque can be applied to the composite shaft without.

A: Given data, aA hollow bronze shaftThe outer diameter D= 75 mm= 0.075mthe inner diameter d= 50 mm=…

Q: Shafts A and B are made of the same material and have the same cross-sectional area, but A has a…

Q: The composite shaft of total length is 1.8 m consists of 5 mm thick brass and is fixed to a 30 mm…

Q: The 60-mm-diameter shaft is made of 6061-T6 aluminum. (Figure 1) Figure Part A If the allowable…

A: Givend=60mmτallow=80MPaθA/Callow=0.060 rad

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: The solid spindle AB is made of a steel with an allowable shearing stress of 12 ksi, and sleeve CD…

A: Spindle AB is made of steel with allowable shearing stress of Sleeve CD is made of brass with…

Q: A shaft ABCD 70 mm in diameter is subjected to torques of 1500 N-m at B and 1100 N-m at C acting in…

Q: A hollow steel shaft with an outside diameter of 80 mm and a wall thickness of 11 mm is subjected to…

Q: Q.1) Two torques are applied to the solid bronze (G= 6500 ksi) shafts of a gear system shown below.…

A: Consider the given figure. For the shaft AB, in equilibrium condition the torque acting on the gear…

Q: A hollow tube extruded with the shape of an equilateral triangle is shown in the figure below. Its…

A: Given: Length of the tube→L=56 in Length of the base→d=2 in Thickness of the wall→t=0.12 in Hence…

Q: A solid 1.250-in.-diameter steel [G = 11,000 ksi] shaft is subjected to torques TB = 175 lb-ft and…

Q: A hollow steel shaft with an outside diameter of 62 mm and a wall thickness of 6 mm is subjected to…

A: Given that , Outside diameterDo=62mmThicknesst=6mmPure torqueτ=7300N-mShear modulusG=73GPaLength of…

Q: 2. A shaft is designed to carry torque as shown below. The shaft consists of a steel rod which is…

Q: Q4 A solid shaft in a rolling mill transmits a torque of 1600 N.m. Determine the diameter of the…

A: Given Data Torque=1600 N.m Shearing stress, 40 MPa Angle of twist, θ=8° Length = 2500 mm G=83 GPa…

Q: The driveshaft of an automobile is being designed to transmit 197 hp at 3810 rpm. Determine the…

A: GivenP=197hpN=3810rpmσ=5600psi

Q: 2. A steel marine propeller shaft 24 in. in diameter and 16 ft long is subjected to a torque of 2400…

Q: An aluminum thin‐walled tube of hollow rectangular cross‐section, Figure 1, is subjected to a torque…

A: Torque, T = 15360 N.m = 15,360,000 N.mmTube length, L = 1 m = 1000 mmShear modulus of aluminum, G =…

Q: 1. A solid aluminum shaft 4 m long that has a diameter of 120 mm is subjected to a torque of…

Q: • For the solid shaft shown in the figure, determine the maximum shearing stress. And the twisting…

Q: Problem 2: A shaft is to be fitted with a flanged coupling having 6 bolts on a circle of diameter…

Q: posite shaft shown, composed of a steel (G = 77 GPa) core inside an aluminum (G = 25 GPa) jacket,…

Concept explainers

Torsion

In mechanical engineering, torque, torsion, and twisting moment are three of the most important concepts which have different meanings. Torque is the consequence of a moment of a force that produces an angular acceleration in a body or induces rotational kinetic energy in a body. For instance, in an automobile, the power transmission shaft is a body that is always under rotation due to the external torque acting on it, this torque is created by the engine.

Question

100%

30 mm
PROBLEM 3.2
(a) Determine the torque T that causes a maximum shearing stress of 45
45 mm MPa in the hollow cylindrical steel shaft shown. (b) Determine the
maximum shearing stress caused by the same torque T in a solid cylindrical
2.4 m
shaft of the same cross-sectional area.
T = 5.17 kN m
T = 87.2 MPa

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1 Calculation of torque T.

VIEW

Step 2 Calculation of maximum shear stress.

VIEW

Trending now

This is a popular solution!

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

1. A drive shaft to the blades of a helicopter transmits 800 kW at 200 rev/min. Neglecting transmission losses; determine the minimum external and internal diameters of the hollow circular section aluminum alloy shaft, when the maximum permissible shear stress in the shaft is limited to 30 MPa. It may be assumed that the external diameter of this shaft is twice its internal diameter. What will be the resulting angle of twist of this shaft over a length of 2 m, given that the modulus of rigidity, C 26900MPA.
Six 30 mm diameter bolts in the outer bold circle of 370 mm radius are steel A T and six 20 mm diameter bolt in the inner bolt circle of 260 mm diameter are aluminum. What is the torque capacity of the coupling? Assume that the allowable shearing stress for the steel bolts is 40 Mpa and aluminum bolts of 30 Mpa. The Shear modulus of elasticity of aluminum and steel are 28 Gpa and 84 Gpa, respectively. P2 P1 R2 R1 1. 757 T°C Despejado A GGn G8/11/202 O Escribe aquí para buscar acer
Two steel springs arranged in series supports a load P. The upper spring has 12 turns of 20-mm-diameterwire on a mean radius of 100 mm. The lower spring consists of 10 turns of 25-mm diameter wire on amean radius of 75 mm. If the maximum shearing stress in either spring must not exceed 300 MPa,compute the maximum value of P and the total elongation of the assembly. Use approximation formulaand G = 83 GPa. Compute the equivalent spring constant by dividing the load by the total elongation.
! Required information A torque of magnitude 7= 250 lb in is applied to the stepped shaft shown, which has a full quarter-circular fillet. Know that D=1 in, and refer to figure 3.28. 40-d Full quarter-circular fillet extends to edge of larger shalt. Determine the maximum shearing stress in the shaft when d= 0.9 in The maximum shearing stress in the shaft is U ksi.
3. A solid circular shaft is 1.8 m and is made of steel with G = 70 GPa. When rotating at w = 70 rad/s, it transmits 28 kW of power from engine A to generator B. As the design engineer, you are asked to: (a) Determine the shaft's smallest allowable radius if the allowable shear stress is T allow = 80 MPa. (b) Determine the shaft's smallest allowable radius If the allowable angle of twist is allow = 0.1 rad (in other words, the shaft is restricted not to twist more than 0.1 rad). (c) If both conditions (a) and (b) are required simultaneously, which radius will you select as the allowable radius. (In other words which condition controls the situation)? Briefly explain your answer. (1 kW = 1000 Watts) B
A solid 2.9-in.-diameter bronze [ G = 7100 ksi] shaft is 8-ft long. The allowable shear stress in the shaft is 10.2 ksi and the angle of twist must not exceed 0.034 rad. Determine the maximum horsepower P that this shaft can deliver: (a) when rotating at 182 rpm. (b) when rotating at 644 rpm.
The 60-mm-diameter shaft is made of 6061-T6 aluminum. (Figure 1) Figure 1.20 m 1.20 m 1 of 1 Part A If the allowable shear stress is Tallow = 80 MPa, and the angle of twist of disk A relative to disk C is limited so that it does not exceed 0.060 rad, determine the maximum allowable torque T Express your answer to three significant figures and include the appropriate units. T = Submit Value Provide Feedback Request Answer Units ?
A composite shaft is comprised of an inner solid steel shaft 1/6 ft in diameter slipped over with a hollow bronze shaft of 1/4 ft outer dimater and 1/6 ft inner diameter and of the same length as the steel shaft. The two shafts are then fastened rigidly together at their ends. For steel, G = 12 × 106 psi, and for bronze, G = 6 × 106 psi. What torque can be applied to the composite shaft without exceeding a shearing stress of 12,000 psi in the steel or 8,000 psi in the bronze?