3.44. A circular shaft having diameters D and d and a groove of radius r(see Fig. 3.17, with M 0 andP= 0) is made of steel with theallowable shear stress t. Find the maximum torque T that can betransmitted by the shaft. Given: D= 28 mm, d= 20 mm, r=4 mm,and tall = 250 MPa.PM.P-Figure 3.17. Example 3.4. A grooved circular shaft withcombined loadings.Per the solutions in the back of the book,the final answer will be as follows:3.44. T= 157.1 N · m%3DPlease provide me the process ofobtaining this specific solution.(Need Detailed Solution)

Given Data The shear stress is: τall=250 MPa The outer diameter is: D=28 mm The inner diameter is:…

3.44. A circular shaft having diameters D and d and a groove of radius r (see Fig. 3.17, with M 0 and P = 0) is made of steel with the allowable shear stress tal. Find the maximum torque T that can be transmitted by the shaft. Given: D= 28 mm, d= 20 mm, r = 4 mm, and tall = 250 MPa. d. M. - -- >X Figure 3.17. Example 3.4. A grooved circular shaft with combined loadings. Per the solutions in the back of the book, the final answer will be as follows: 3.44. T= 157.1 N · m %3D Please provide me the process of obtaining this specific solution. ( Need Detailed Solution)

3.44. A circular shaft having diameters D and d and a groove of radius r (see Fig. 3.17, with M 0 and P = 0) is made of steel with the allowable shear stress tal. Find the maximum torque T that can be transmitted by the shaft. Given: D= 28 mm, d= 20 mm, r = 4 mm, and tall = 250 MPa. d. M. - -- >X Figure 3.17. Example 3.4. A grooved circular shaft with combined loadings. Per the solutions in the back of the book, the final answer will be as follows: 3.44. T= 157.1 N · m %3D Please provide me the process of obtaining this specific solution. ( Need Detailed Solution)

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

Similar questions

Question 2. A circular aluminum tube subjected to pure torsion by torques T (see figure 2) has an outer radius 12 equal to 1.5 times the inner radius ₁. (a) If the maximum shear strain in the tube is measured as 400x106 rad, what is the shear strain y at the inner surface? (b) If the maximum allowable rate of twist is 0.125 degrees per meter and the maximum shear strain is to be kept at 400x105 rad by adjusting the torque T, what is the minimum required outer radius (12) min? T Figure 2: cylindrical shaft
A motor driving a solid circular steel shaft transmits 30 kW to a gear at B (as shown). The allowable shear stress in the steel is 40 MPa. G=70 GA (a) What is the required diameter d of the shaft if it is operated at 1500 rpm? (b) What is the required diameter d if it is operated at 3000 rpm? (c) If the length of the shaft from the motor to the gear is 1 m, what are the angles of twist for the two speeds of rotation? Motor Motor
A circular aluminum tube subjected to pure torsion by torques T (see figure 2) has an outer radius r2 equal to 1.5 times the inner radius r1 (a)If the maximum shear strain in the tube is measured as 400x10 to the power 6 rad, what is the shear strain y1 at the inner surface? (b) If the maximum allowable rate of twist is 0.125 degrees per meter and the maximum shear strain is to be kept at 100x10 to the power 6 rad by adjusting the torque T, what is the minimum required outee radius (r2) min ?
4. For the solid shaft, 1 inch in diameter, subjected to bending and torsion, find the principal stresses, maximum shear stress and factors of safety using the maximum shear stress (Tresca) and distortion energy (von Mises) criteria if the yield strength is also 50,000 psi: M = 300 in-lb T = 500 in-lb
1. A solid steel shaft ABCDE having diameter d = 40 mm turns with a constant angular velocity and freely in bearings at points A and E. The shaft is driven by a gear at C, which applies a torque T₂ = 625 N_m in the direction shown in the figure. Gears at B and D are driven by the shaft and have resisting torques T₁ and T3, acting in the opposite direction to the torque T2. We know T₁ = 400 N.m, but T3 is not explicitly given in the problem. Segments BC and CD have lengths LBC= 550 mm and LCD = 400 mm, respectively, and the shear modulus G = 80 GPa. Determine the maximum shear stress in each segment of the shaft and the angle of twist between gears B and D. pôrôć -LBC LCD T3 E
A continuous countershaft carrying two belt pulleys is shown in the figure. Pulley A receives power from a motor through a belt with the belt tensions shown. The power is transmitted through the shaft and delivered to the belt on pulley B. Solve in SI. 1. Find the preliminary diameter of the shaft from static considerations (Method 1) if the shaft material is steel with Sy = 405-MPa and SF = 5. Bending moment and torque diagrams are provided in N, mm. 2. Calculate the critical rotation speed of the shaft if pulley A weighs 100-N and Pulley B weighs 150-N and the weight of the shaft is included in the calculation. The shaft steel density is 7861-kg/m3 and the Elasticity modulus is 200000-MPa. The shaft deflections at locations A (by pulley A acting alone) and B (by pulley B acting alone) are given below: 8,= 0.02676 mm 8, = 0.01625 mm 400 300 250 dia.- - 300 dia. 37.5 N Dimensions in millimeters. 250 N
The steel alloy shaft having a diameter of 38 mm is used to transmit torque, T as shown in Figure Q2(c ). If the allowable shear stress of the shaft is 81kPa (i) Determine the maximum torque T that can be transmitted by the shaft. (ii) What would be the maximum torque T' if a 25 mm diameter hole is bored through the shaft? (iii) Sketch the shear-stress distribution along a radial line in each case. T T' Figure Q2(c)
A 3 m long steel angle shown in the figure has a section thickness of 12.7 mm and a cross sectional area of 4350 mm². Since tem = 50 MPa and G = 77.2 GPa, find the maximum applicable torque T.
F3.A shaft is composed of two 6-in. diameter sections coupled together (see figure below). Part AB is bronze and part BC is steel. A torque is applied at the free end which causes a maximum shear stress in the bronze shaft of 10,000 psi. Find the angle of twist of the free end. Assume the modulus of rigidity of bronze is 6 (106) psi and that of steel is 12(106) psi. Bronze Dia. = 6 in. A 3' Steel B Match each item to a choice: Angle of twist T
A hollow steel shaft used in a construction auger has outer diameter d2 = 7.8 in. and inner diameter d1 = 5.5 in. (see figure). The steel has shear modulus of elasticity G = 11.5 x 10^6 psi. For an applied torque of 175 k-in. , determine the following quantities:a.) Shear stess T2 at the outer surface of the shaftb.) Shear stress T1 at the inner surfacec.) rate of twist Θ (degrees per unit of length)
Problem 2. Each segment of bar ABC has length L. and shear modulus G and both segments have solid circular cross sections. Torque per unit length t(x) is applied between points B and C. The diameter of segment AB varies linearly from 2d at point A to d at point B. In terms of the given quantities, a) Find the torques at A and C. b) Find the twist angle os at point B. G 2d A -L d B G *(x) = to (²=²) ² C to x
A hollow aluminum tube used is a roof structure has an outside diameter d2=70mm and inside diameter d1= 50mm. The tube is 2.5m long and the aluminum has a shear modulus of G=28 GPa. a.) If the tube is twisted in pure torsion by torques acting at the ends, what is the angle of twist in degrees when the max shear stress is 50MPa? b.) What diameter 'd' is required for a solid shaft to resist the same torque with the same maximum stress?