The composite shaft shown is to be twisted by applying a torque T at end A. Knowing that the modulus of rigidity is 11.2 x 106 psi for steel and 4 x 106 psi for aluminum, determine the largest angle through which end A may be rotated, if the following allowable stresses are not to be exceeded: Isteel = 8000 psi and Taluminum = 6700 psi. 2-in. A Steel. Aluminum 3 in. 100 in. The largest angle through which end A may be rotated is 0.08 °

The composite shaft shown is to be twisted by applying a torque T at end A. Knowing that the modulus of rigidity is 11.2 x 106 psi for steel and 4 x 106 psi for aluminum, determine the largest angle through which end A may be rotated, if the following allowable stresses are not to be exceeded: Isteel = 8000 psi and Taluminum = 6700 psi. 2-in. A Steel. Aluminum 3 in. 100 in. The largest angle through which end A may be rotated is 0.08 °

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: Compound shaft ACB is fixed at A and consisting of two solid circular sections AC & CB, as shown,…

Q: he shaft, shown below, consists of rods AB and CD and a tubular segment BC. The rods are onnected…

A: Turning operation is the manufacturing technique that is done on a lathe machine. In this operation,…

Q: P' 150 mm 45° 75 mm

Q: A 60 mm- В 90 mm- 100 mm C 4 kN 80 mm D 140 mm

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

Q: . Use G 11.2 X 10° psi. (b) Solve part a, assuming that the 1 shaft is hollow with a 1.5-in. outer…

A: given:

Q: 5. A shaft is made of a steel alloy having an allowable shear stress of Tallow = 12 ksi. If the…

Q: Two wooden members of uniform cross section are joined by the simple scarf splice shown. Knowing…

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: solid steel shaft is made of steel has 100-mm diameter. The shaft is subjected to the distributed…

Q: The two solid shafts are connected by gears as shown and are made of a steel for which the allowable…

A: The given information in the problem is shown in the following attached image:

Q: A shaft is made from two segments: AB is pure steel and BCD is pure brass (note: not core-shell).…

A: Let us consider three parts AB, BC and CD . The torque of AB portion is TAB=800Nm , torque on BC…

Q: Using Tall = 8.7 ksi and knowing that G= 5.6 x 106 psi, determine for each of the cold-rolled yellow…

Q: A steel pipe of 300-mm outer diameter is fabricated from an 8-mm-thick plate by welding along a…

A: Outer diameter d0= 300 mm Force P = 250 kNThickness =8 mmTorque,T=12 kN.mTo determine:a)The normal…

Q: Q2) The aluminum rod BC (G-26 GPa) is bonded to the brass rod AB (G-39 GPa). Knowing that Birass…

A: For solution refer below images.

Q: The largest torque Tc that can be applied at Cis kip-in.

Q: 5. The bronze rod AB ( G = 38 GPa ) is bonded to the aluminum rod BD ( G = 24 GPa). Knowing that…

Q: The driveshaft of an automobile is being designed to transmit 131 hp at 2960 rpm. Determine the…

A: To Find : The minimum diameter required for the solid steel shaft. Given : The allowable shear…

Q: 3.46 The electric motor exerts a torque of S00 N •m on the steel shaft ABCD when it is rotating at a…

Q: A steel shaft is subjected to the torques shown. The shaft is solid with a diameter of 1 in and G =…

A: To find: (a) The internal torque in each segment. (b) The maximum shear stress (psi) in each segment…

Q: The aluminum rod AB (G = 27 GPa) is bonded to the brass rod BD (G = 39 GPa). Knowing that portion CD…

Q: An impeller mechanism in a granular material mixing tank is shown. The shaft is hollow with a 2.25"…

A: Given, ro = 2.25" θmax=6o τmax=10 ksi G = 11000 ksi

Q: The solid circular shaft shown is made of a steel that is assumed to be elastoplastic with ry= 145…

A: The below information is given: τY = 145 MPa = 145 × 106 Pa c = 32 mm = 0.032 m Plastic zone tp =…

Q: 1. The reactions at A and C. 2. The maximum shear in the shaft. 3. The angle of twist in the shaft.

Q: The electric motor below, exerts a torque of 800 N.m on the steel shaft ABCD when it rotates at…

Q: 3) The electric motor exerts a torque of 600 N.m on the steel shaft ABCD when it is rotating at a…

A: Given Data Modulus of rigidity is : G=77 GPa Length section of BC is : LBC=0.8 m Length section of…

Q: PROBLEM 3.52 A 4 kNm torque T is applied at end A of the composite shaft shown. Knowing that the…

Q: 2- The design of the gear-and-shaft system shown requires that steel shafts of the same diameter be…

A: or 0.0262 radG = 77 GPa

Q: The axles of the pulley set shown below must be redrawn. Knowing that the allowable shear st shaft…

A: Given:

Q: (a) For the solid steel shaft shown, determine the angle of twist at A. Use G=11.2 × 106 psi. (b)…

A: Given data: The applied torque is, T = 60 kipˑin. The inner diameter, di = 0.75 in. The outer…

Q: angle of twist (a) between A and B, (b) between B and C, um (c) At C

Q: Q3: The horizontal shaft AD is attached to a fixed base at D and is subjected to the torques as…

A: To find: The total angle of twist at end A. Given: The modulus of rigidity of the shaft is G=77 GPa.…

Q: d₁ = 38 mm d₂

Q: The driveshaft of an automobile is being designed to transmit 242 hp at 2980 rpm. Determine the…

Q: he ends A and D of the two solid shafts AB and CD are fixed, while the ends B and C are connected to…

A: Given:dAB=60 mmrB=100 mmrc=40 mmdCD=45 mmζallow=50 MPa

Q: A 7/8-in.-diameter steel rod AB fitted to a round hole near end C of the wooden member CD. A…

Q: Two solid shafts are connected by gears as shown. Knowing that G = 77.2 GPa for each shaft,…

A: The modulus of rigidity of shafts are .The torque applied is

Q: A compound shaft consists of brass segment (1) and aluminum segment (2). Segment (1) is a solid…

A: Given:Outside diameter of brass shaft, d1=0.51 inAllowable shear stress for brass, S1=4500…

Q: 5. The torques shown are exerted on pulleys A and B. The diameter of the shaft AB is dAB = 50mm…

A: To transmit energy by rotation it is necessary to apply a turning force. in the case of a shaft if…

Q: The ship at A has just started to drill for oil on the ocean floor at a depth of 5000 ft. Knowing…

Q: The compounded A-36 steel shaft (GA-36 steel = 75 GPa) is fixed to the wall at A and is subjected to…

A: given data:A 36-steel shaft Modulus of rigidity = 75 GPalength of AEB = 2m length of BDC = 1m torque…

Q: 7o solid steel shafts are connected to f a disk B. Knowing the modulus of = d the allowable shear…

A: given:shear stress τ=90MPa

Concept explainers

Combined Loading

Any functioning component, such as machine parts, structural members, pressure vessels, and so on, are all under the influence of more than one force. When anybody is under the influence of more than one force such as shear forces, bending moments, axial forces, torsion, and so on, then such body is said to be under combined loading. A very practical example of combined loading is the crankshaft of an internal combustion engine (IC engine). The crankshaft of the IC engine is under high rpm, which is caused due to the torsional forces. Due to the presence of piston, counterbalances, and internal imbalances, the crankshaft experiences lateral forces and due to the rise in temperature, the crankshaft undergoes thermal expansion, which pulls the crankshaft along the axial direction and lateral direction. The presence of unbalanced loads along the periphery of the crankshaft also induces a bending moment.

Question

100%

The composite shaft shown is to be twisted by applying a torque T at end A. Knowing that the modulus of rigidity is 11.2 x 106 psi for
steel and 4 x 106 psi for aluminum, determine the largest angle through which end A may be rotated, if the following allowable
stresses are not to be exceeded: steel = 8000 psi and Taluminum = 6700 psi.
2-in.
Steel
A
Aluminum
3 in.
100 in.
The largest angle through which end A may be rotated is 0.08

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: Given and required

VIEW

Step 2: Determination of largest angle

VIEW

Step 3: Determination of largest angle

VIEW

Step 4: Determination of largest angle

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 4 images

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

A circular shaft AB consists of a 10-in.-long, 78-in.-diameter steel cylinder, in which a 5-in.-long, 58-in.-diameter cavity has been drilled from end B. The shaft is attached to fixed supports at both ends, and a 90 lb?ft torque is applied at its midsection . Determine the torque exerted on the shaft by each of the supports.
3. The stepped shaft shown is supported by bearings at A and B. Determine the maximum stress in the shaft due to the applied torques. The shoulder fillet at the junction of each shaft has a radius of r= 3 mm 27 N.m 54 N.m 27 N.m 30 mm A 15 mm
QUESTION 2 P C The 6.7-in diameter steel shaft AB is attached into the rigid wall at C and supported by a smooth bearing at A. The lever AC is welded to the end of the shaft. The maximum allowable stress for shaft AB is 363 psi. Consider that x = 3.54 ft and y = 6.75 ft. Determine the maximum allowable force P in lbs.
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.
The composite shaft shown consists of two steel pipes that are connected at flange B and securely attached to rigid walls at A and C. Steel pipe (1) has an outside diameter of 164 mm and a wall thickness of 7 mm. Steel pipe (2) has an outside diameter of 114 mm and a wall thickness of 6 mm. Both pipes are 3-m long and have a shear modulus of 80 GPa. If a concentrated torque of 20 kN-m is applied to flange 8, determine the torque in pipe (1). ... 3 m 3 m 20 kN-m (1) (2) B A 10.98 kN-m в) 15.63 kN-m 9.40 kN-m 14.85 kN-m
For the bronze segment AB, the maximum shearing stress is limited to 8000 psi and for the steel segment BC, it is limited to 12 ksi. Determine the diameters of each segment so that each material will be simultaneously stressed to its permissible limit when a torque T = 12 kip-ft is applied. For bronze, G = 6 × 106 psi and for steel, G = 12 × 106 psi. Bronze Steel B 4 ft 6 ft
3.36 The torques shown are exerted on pulleys B, C, and D. Knowing that the entire shaft is made of aluminum (G = 27 GPa), deter- mine the angle of twist between (a) C and B, (b) D and B. 30 mm 30 mm 400 N- m GG 36 mm 900 N- m 36 mm 500 N. m B "0.6 m E. 0.5 m D m 0.5 Fig. P3.36
The shafts of the pulley assembly shown are to be redesigned. The allowable shearing stress in each shaft is 11 ksi. Determine the smallest allowable diameter of shaft AB and shaft BC.
A solid 0.64-in.-diameter shaft is subjected to the torques shown. The bearings shown allow the shaft to turn freely. Determine the shear stress magnitude in shaft (3). ... 10 lb-ft 50 lb-ft 70 lb-ft |(1) 30 lb-ft A (3) B C D
3. A solid bar having a diameter of 160 mm is to be replaced by a rectangular tube having cross- sectional area of 150 mm x 310 mm to the median line of the cross-section. (a) Determine the required thickness of the tube so that the maximum shear stress in the tube will not exceed the maximum shear stress in the solid bar. (b) Determine the shear stress in the tube . If it is subjected to a torque T = 15 kN-m and a thickness of 10 mm. and (c) Determine the angle of twist in degrees of the tube if the length of the tube is 1000 mm and the shear modulus is 75 GPa. Thickness of the tube is 10 mm and the torque T = 15 kN-m.
The aluminum rod AB (G= 27 GPa) is bonded to the brass rod BD(G= 39 GPa). Knowing that portion CD of the brass rod is hollow and has an inner diameter of 40 mm, determine the angle of twist at A.
The composite shaft shown consists of a 0.2-in.-thick brass jacket (Gbrass= 5.6 × 106 psi) bonded to a 1.2-in.-diameter steel core (Gsteel=11.2 × 106 psi). Knowing that the shaft is being subjected to the torques shown, determine the largest angle through which it can be twisted if the following allowable stresses are not to be exceeded: τsteel=15 ksi and τbrass= 8 ksi.