Two torque as shown are applied on a compound shaft of aluminum segment and a steel. Determine the maximum permissible value of T subjected to the following conditions: T, s 90MPA, Ta S 65MPA_, and the angle of rotation of the free end limited to 11°. Use GS = 84 GPa and Ga = 27 Gea 75 mm Aluminum Steel Bf 50 mm 2 m 1.5 m

Two torque as shown are applied on a compound shaft of aluminum segment and a steel. Determine the maximum permissible value of T subjected to the following conditions: T, s 90MPA, Ta S 65MPA_, and the angle of rotation of the free end limited to 11°. Use GS = 84 GPa and Ga = 27 Gea 75 mm Aluminum Steel Bf 50 mm 2 m 1.5 m

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 6-splined shaft delivers a torque of 7.5 kN - m. The spline has the following dimensions: D = 75…

A: given; →torque(T)=7.5KN-m =7.5*106N-mm→outer diameter(D)=75mm→inner…

Q: The solid shaft is fixed at A and free at D. It is subjected to three concentrated torques at B, C…

Q: What is the minimum diameter of a solid steel shaft that will not twist through more than 6° in a…

Q: An open coiled heilcal spring made of 6 mm diam- eter steel wire and 60 mm mean coil diameter, with…

A: We know that an axial torque T is applied to an open coiled helical spring formed of 6 mm diameter…

Q: A steel 0.75-in diameter shaft (G= 12,000 ksi) is subjected to the following torques in lb-ft: TA =…

Q: A tubular steel shaft transmits a power of P = 450 hp at a speed of 3000 rpm. Determine the maximum…

Q: A hollow circular steel shaft with an outside diameter of 2.569, and a wall thickness of 0.388 in.…

A: GivenPart 1D=2.569int=0.388inT=292 lb-ftL=124inG=12000 ksiPart 2D=2.915int=0.437inT=239 lb-ftL=105…

Q: A,B and the bearings C, D are located as shown in Fig. The belt tensions are also shown in the…

Q: A 1.30-in.-diameter solid shaft is subjected to an axial force of P = 2000 lb, a horizontal shear…

A: Solution:

Q: Plot a torque diagram showing the internal torque in segments (1), (2) and (3) of the shaft. Show…

Q: A hollow steel shaft with an outside diameter of 75 mm and a wall thickness of 5 mm is subjected to…

A: The given values are - do =75 mm, t=5 mm, T =4090×1000 Nmm, G =80×1000 Mpa, L=2000mm The inside…

Q: A circular stepped steel shaft has the dimensions and cross sections as shown in Figure Q1. It is…

Q: For the shaft in below, motor gives a 500 Nm torque on the shaft when it is rotation with a constant…

A: First consider the section BC, TBC=200 N·m dBC=44 mm=0.044 m Now the polar moment of inertia of…

Q: A hollow shaft of outer and inner diameters respectively equal to 0.6 in. and 0.2 in. is fabricated…

A: Torque required to twist the shaft is 20.525 lb-in.Explanation:

Q: 04- A circular shaft consists of steel and aluminum segments is subjected to the torques shown in…

Q: Two designs for a shaft are being considered. Both have an outside diamete of 80 m and are 100 cm…

Q: a -ja-a 12.7 millimeters and a cross sectional area of 4350 mm. T 50 MPa ve G= 772 GPa Find the…

A: Thickness ,b = 12.7 mm Area , A = 4350 mm2 Allowable Shear stress = 50 Mpa G = 77.2 Gpa

Q: A solid shaft made of a ductile brass alloy is subjected to an array of loads, resulting in the…

A: Maximum shear stress theory Maximum shear stress theory is also known as Guest's theory. According…

Q: the torque acting on the shaft; ii) the required external and internal diameters for the shaft;…

Q: A compound shaft consists of two pipe segments. Segment (1) has an outside diameter of 226 mm and a…

Q: An aluminum shaft of two segments is shown below. Determine the allowable torque if the shear stress…

A: Given Data Diameter of bar AB is : d1=90 mm Diameter of bar BC is : d2=60 mm Allowable stress is :…

Q: 5.2 A hollow bronze shaft of 75 mm outside solid steel shaft of 50 mm diameter and of the same…

A: Note: As per our guidelines we are supposed to answer only the first 3 sub-parts. Kindly repost…

Q: Problem 4.2 The stepped shaft shown in Figure below is subjected to a tensile load of 32 kN and to a…

A: Given: F=32 kNSut=830 MPaE=207 GPaT=150 NmSy=620 MPa

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

Q: Problem # 4 A compound shaft consisting of a steel segment and an aluminum segment is acted upon by…

Q: 4. The shaft shown below, is made of ASTM-A-36 steel with Sy = 250 MPa and p = 7.86 g/cm³. The…

A: The weight density is The yield stress is The torque aplied is The length of shaft is

Q: A steel shaft with a length of 3.00 m. One meter of the steel is contained in a brass tube and…

Q: The solid-circular member AC, having a diameter D and a shear modulus of 69 GPa, is subjected to the…

Q: mpound shaft is made by ting a brass sleeve on a steel (which is considered as parallel ection). The…

Q: A drive shaft running at 2500 rpm has outer diameter of 60mm and inner diameter of 40mm. The…

Q: a) Find the diameter of both shafts. b) If the modulus of rigidity of shaft (2) G is 77.2 GPa,…

A: for solution refer below images.

Q: A circular shaft having diameters D and d and a groove of radius r (with M = 0 and P = 0) is made of…

Q: The steel shaft is made from two segments AC has a diameter of 0.5 in, and CB has a diameter of 1 in…

A: The diameter of the AC section is .The diameter of the CB section is .The modulus of rigidity is

Q: A solid circular steel shaft having an outside diameter of 2.25 in. is subjected to a pure torque of…

Q: The A36 steel shafts as shown in the figure below are made from two segments: solid segment AC with…

Concept explainers

Design of Shafts and Shaft Components

The shaft is basically defined as the machine element that rotates, is in circular cross-section, it is majorly used to transfer the power from one part of the system to another, or from a power generating machine to a power absorbing machine. The shaft is supported on bearings and is rotated with the help of a set of gears or pulleys that are used for the power transmission. Bending moment, torsion, and an axial force act upon the shaft. Designing of shaft primarily involves determining stresses at a critical point in the shaft that is arising due to loading.

Question

Two torque as shown are applied on a compound shaft of aluminum segment
and a steel. Determine the maximum permissible value of T subjected to the
following conditions: T, s 90MPA, Ta s 65MPA_ and the angle of rotation of the
free end limited to 11°. Use Gs = 84 GPa and Ga = 27 GPa
75 mm
T
2T
Aluminum
Steel
Bf
50 mm
2 m
1.5 m

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

Step 2

Step 3

Step 4

Step by step

Solved in 4 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

Figure Q1 shows a shaft AB (modulus of rigidity G = 73 GPa) with a total length of 1270 mm that is fixed at both ends. Section AC is solid with a diameter of do = 80 mm, while CB is a hollow section with an internal diameter of di = 60 mm. An external torque T0 = 10 kN.m is applied at point D. (a) Determine the magnitude of the reaction torques at both supports if the distance x = 735 mm.
A steel shaft (G = 80 GPa) with an external drive of 30mm must transmit a torque of 2700 N-m. The allowable shear stress in torsion is 120 MPa and the allowable rotation for the member is 0.1 rad / m. Design to the nearest millimeter the internal radius required for the steel drive
A compound shaft consists of an aluminum tube (1) securely jointed to a steel tube (2). Both aluminum and steel tubes have an outside diameter of D= 48 mm and a wall thickness of t= 3 mm. The shaft is secured by a fixed support at one end and is subjected to a torque of T= 115 N.m at the other end. Determine the maximum stress in the shaft.[L1 = 200 mm, L2 = 350 mm, D = 48 mm , t = 3 mm, G = 75 GPa]
0.6- 0.3 1.0 4.2 320 lb 1:25- 5.25 340 lb 2 1.0 1.95 0.3 B 0.6
An aluminum shaft of two segments is shown below. Determine the allowable torque if the shear stress is not to exceed 30MPa and the angle of twist between the ends of the bar is not exceed 2.3°? (Assume G=80GPa)
A steel 0.75-in diameter shaft (G= 12,000 ksi) is subjected to the following torques in lb-ft: TA = 50; TB = 70; TC = 30; TD = 10. The directions of the applied torques are indicated in the figure. The bearings shown allow the shaft to turn freely. The length of each segment is equal to 38 in. (a) Plot a torque diagram showing the internal torque in segments (1), (2) and (3) of the shaft. Show the FBD of each segment using a double-headed arrow to represent each torgue. Use the same rule of signs as in the lecture. Determine (b) the maximum shear stress magnitude (ksi) in the shaft. (c) the rotation angle, in degrees, of pulley D with respect to pulley B. Note: Follow the rule of signs with FBD in each sections. Show complete step by step solution and proper FBD. Solid shaft: J = (₶/32 )( D4) Hollow: J = (₶/32)(D4 - d4)
Question 3 The 80-mm diameter shaft, having an ultimate tensile and compressive strength of 80 MPa and 160 MPa respectively, is subjected to a combination of bending moment, M, of 15 kNm, an axial force, P, of 90 kN, and a torque, T, of 25 kNm as shown. Determine if the combined loading will cause any failure based on the Coulomb-Mohr theory. shaft M
A tubular steel shaft transmits a power of P = 450 hp at a speed of 3000 rpm. Determine the maximum shear stress produced in the shaft if the outside diameter is D = 2.25 in. and the wall thickness is t = 0.150 in. Calculate the torque T in the shaft. T= 788 Calculate the polar moment of inertia J of the shaft. Answer: J = i lb-ft. Answer: Tmax=i in.4. Determine the maximum shear stress Tmax in the shaft. ! psi.
No gpt, 1ly handwritten
A solid shaft made from AISI 1040 cold-drawn steel is used to carry two V-belt, as shown in the Fig. 3. Pulley A receives power from a motor through a belt, with the belt tensions shown in Fig. 3. The power is transmitted through the shaft and delivered to the belt through pulley B. Assume the belt tension on the loose side is 10 percent of the tension on the tight side.
Consider the case of shafts subjected to combined twisting moment and bending moment. A solid circular shaft is subjected to a bending moment of 2800 Nm and a torque of 10,000 Nm. The shaft is made of 45 C 8 steel having ultimate tensile stress of 700 MPa and ultimate shear stress of 500 MPa. Assuming a factor of safety as 5, determine, the diameter of the solid circular shaft. if a hollow circular shaft is to be used in place of the solid shaft, find the inside and outside diameter when the ratio of inside to outside diameter is 0.5.
The compound shaft is attached to a rigid wall at each end and is subjected to the torque T = 10 kN.m applied at point B. For the bronze segment AB, the diameter is di = 79 mm and Gbr = 35 GPa. For the steel segment BC, the diameter is d2 = 44 mm and Gt = 83 GPa. Given that a = 2.5 m and b = 1.8 m, what is the torque reaction TA developed at end A? dz Bronze Steel