Problem 4 A solid circular drive shaft connect a motor to gears B and C. The torque on gear B is 600 Nm and the torque on gear C is 200 Nm acting in direction shown. The drive shaft is steel (G-66 GPa) with a diameter d=25mm a) Determine the maximum shear stress in shaft 1 b) Determine the angle of twist of the end C with respect to A c) The power required to be transmitted to the gear B and C if the shaft rotates 3600rpm

Problem 4 A solid circular drive shaft connect a motor to gears B and C. The torque on gear B is 600 Nm and the torque on gear C is 200 Nm acting in direction shown. The drive shaft is steel (G-66 GPa) with a diameter d=25mm a) Determine the maximum shear stress in shaft 1 b) Determine the angle of twist of the end C with respect to A c) The power required to be transmitted to the gear B and C if the shaft rotates 3600rpm

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,) See the figure below. There are two torques applied at B and D. Segment CD is a tube, while AB…

A: In the given problem, the dimensions and Modulus of rigidity have been converted to feet. Radius,…

Q: Two solid 1.625-in.-diameter steel shafts are connected by the gears shown in the figure. The shaft…

Q: T Brass jacket 2 in] 0.2 in Steel core

A: When a shaft is subjected to torque, shear stress produces in the shaft. The torsion equation is…

Q: Problem 5-57: The turbine develops 150 kW of power, which is transmitted to the gears such that C…

A: Given data as per the questionpower developed =150 kwdiameter of shaft =100 mm =0.1 mRotational…

Q: A power source at C actuates valves at A and B through a long round steel control rod. A torque of…

Q: B TB = 90 N-m fr 200 mm b) + 200 mm с Tc = 30 N-m + 400 mm D D₂ Side view of a shaft The side view…

A: According to the given data LAB=LBC=200mm , D1=30mm LCD=400mm , D2=50mm G=40 GPa TB=90 N.m TC=30 N.m…

Q: Two solid 1.625-in.-diameter steel shafts are connected by the gears shown in the figure. The shaft…

Q: Q) A two-segment shaft is used to transmit power at constant speed through the pulleys shown above…

A: Solution:

Q: Hi, I need help with this question.

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

Q: Two solid 1.625-in.-diameter steel shafts are connected by the gears shown in the figure. The shaft…

A: To find:Maximum shear stress in each shaft

Q: A shaft consisting of an aluminum segment and a steel segment is acted upon by two torques. The…

A: The diameter of the aluminum section is The diameter of steel section is The shear modulus of…

Q: Q1: A motor driving a solid circular steel shaft transmits 30 kW to a gear at B (as shown). The…

Q: A solid shaft in a rolling mill transmits 30 hp at 100 rpm. Find the diameter in mm of the shaft so…

Q: For the gear system shown in the figure, the diameter of shaft AB=12 mm. Determine the diameter of…

Q: What is the maximum shearing stress developed a solid steel shaft is subjected to a torque of 28…

Q: A 3-m aluminum tube with the cross section shown carries a 200 N-m torque. Determine the following:…

A: Given data: L=3 mT=200 N.mG=28 GPa Need to determine the maximum shear stress in the tube and…

Q: Determine the angle of rotation at the free end.

A: Given: To determine: The angle of rotation at the free end due to the torque applied

Q: PROBLEM 1. The shafts are made of A-36 steel and both have 100 mm diameter. If a torque of 60 kN.m…

A: Given: Diameter of the shaft is 100 mm. For A-36 steel, G =75 Gpa. The applied torques are shown…

Q: A solid 14 mm diameter steel shaft is fixed to a wall at E. Torques are applied to gears A, C and D…

Concept explainers

Power Transmission Elements

It is defined as the energy transfer from one location to another location. The energy will start moving from the energy generation source to the energy applied position to obtain the work output. From this method, a large amount of electric energy moves from the power station to various electrical substations.

Question

Problem 4
A solid circular drive shaft connect a motor to gears B and C. The torque on gear
B is 600 Nm and the torque on gear C is 200 Nm acting in direction shown. The
drive shaft is steel (G-66 GPa) with a diameter d=25mm
a) Determine the maximum shear stress in shaft 1
b) Determine the angle of twist of the end C with respect to A
c) The power required to be transmitted to the gear B and C if the shaft rotates
3600rpm
d) Sketch the stress distribution on the cross-section of a circular shaft loaded in
torsion
wan
600 N-m
100 mm
Determine the
rotation angle of C
with respect to A.
• Determine the maximum
shear stress in shafts (1)
and (2).
(2)
300 mm
200 N-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: Given Data

Step 2: To find out

Step 3: Explanations

Solution

Step by step

Solved in 4 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Design of Power Transmission Elements and Power Transmission Systems

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 compound steel [G= 94 GPa] shaft consists of solid 28-mm-diameter segments (1) and (3) and tube segment (2), which has an outside diameter of 68 mm and an inside diameter of 63 mm. Assume L₁-0.2 m, L₂-2.2 m, L3-0.2 m and T-210 N-m. Determine: (a) the maximum shear stress T₂ in tube segment (2). (b) the angle of twist 2 in tube segment (2). (c) the rotation angle DIA of gear D relative to gear A. T Answers: (a) T₂ = (b) ₂ = (c) & DIA (1) = B i i L2 (2) MPa. C L3 (3) T D X
A carbon steel shaft AB is fixed with two gears and is applied with 4 torque as shown in Figure 1. The G value of carbon steel is 80 GPa. The outer diameter of the shaft is 40 mm. Shaft AC and shaft DB are hollow with inner diameter of 20 mm, while shaft CD is solid. 300 N-m 500 N-m 200 N-m 400 N-m 300 mm 400 mm 500 mm Figure 1. a) For each section of the shafts, determine the maximum shearing stress. b) For each gear, determine its angle of twist. c) Determine the angle of twist of end B with respect to A
A solid 1.750-in.-diameter steel [G= 13,000 ksi] shaft is subjected to torques TB = 265 lb-ft and TD 90 lb-ft, acting in the directions shown. Assume a = 48 in., b = 72 in., and c = 36 in. If the allowable shear stress in the shaft is 16 ksi, determine the maximum torque Tc that can be applied to the shaft. (1) Answer: Tc i B (2) b Tc (3) Tp lb-ft D
6. The 160 mm diameter steel (G = 80 GPa) shaft ABCD shown in Figure Q6 has a 100 mm diameter bronze (G = 40 GPa) core inserted in 3 m of the right end, BCD and securely bonded to the steel. Determine: a) the maximum shearing stress in each of the materials, b) the angle of twist of the free end, D of the shaft. Steel 200 kNm 2 m 120kNm 1.5 m 1.5 m Bronze D Figure Q6 [Ans: a) tmax,st = 162 MPa (at section BC), tmax, br = 51 MPa (at section BC); b) -0.00684 rad]
A shaft made from acrylic is subjected to the three torques indicated below. The acrylic has a shear modulus of 1.7 GPa. Determine: a. The twist at the end D if the diameter if the shaft is 100 mm. b. The minimum shaft diameter if Tallow = 10 MPa 200 N•m A 800 N•m 300 mm B 400 N•m 600 mm C 600 mm
A circular shaft of the dimensions shown in the following figure is subjected to three torques : T1 = 28 k-in, T2 = -8 k-in and T3 = 10 k-in. (a) What is the angle of twist of the right end due to the applied torque? (b) Plot the angle of twist diagram along the shaft. Let, G= 12×106 psi.
The two solid shafts are connected by the gears shown. The motor constantly supplies 20 kW of power at 15 Hz to system at A. The yield shear stress is 140 MPa for shaft (1) and 220 MPa for the shaft (2), and over all factor of safety is 2. a) Find the diameter of both shafts. b) If the modulus of rigidity of shaft (2) G is 77.2 GPa, calculate the relative angle of twist D with respect to C. 30 teeth B (1) 48 teeth Tp 0.8 m
The shear modulus of the solid steel shaft is G = 11 x 10° ksi. Motor A is directly coupled to the shaft and delivers 3 hp while rotating at 1800 rpm (revolutions per minute). Gears B, C, and D remove the powers indicated in the figure. Given the following two criteria, determine the required diameter of the shaft to the nearest 1/s in. (1) The maximum shear stress must not exceed Tallow = 9 ksi. (2) In order to prevent binding or interference in the attached machin- ery, the angle of twist of gear B with respect to gear D must not exceed 1°. 1.25 ft 1.0 ft 3 hp 1.5 ft 1 hp 0.5 hp 1.5 hp
A metal shaft ABCD with variable cross-section is subjected to three external torques (T₁=28 kip- in, T2=8 kip-in, and T3=10 kip-in) as shown in the figure below. Each torque is acting at the locations marked with circular points along the shaft. Note that a 16-inch long segment of the shaft at the free end (right) has a 1-inch diameter bore. The dimensions (lengths and diameters) of the shaft are given in the figure. Assume deformation is linear elastic and take G=12×106 psi. D [3" 16"- X C T₁ 2" -32"- T₂ 1" diam. bore B -16"- A T3 the bar has a uniform diameter d along its full length, but external torques remain the same and are applied at the same locations. If the failure shear stress for the material is equal to Tfail = 10 ksi, and the factor of safety is equal to 2, determine the required (uniform) diameter d for the bar. Assume that the bar is solid for its entire length.
Please I want answer of that question from these choices
A alm T 1.20 m T B 1.20 m C 3 T The 60 mm diameter shaft is made of 6061-T6 aluminum having an allowable shear stress of Tallow 80 MPa. Find the corresponding angle of twist of disk A relative to disk C. Note: You will need to calculate the maximum allowable torque T first. Provide your answer for angle of twist in radians with 3 significant figures after the decimal point.
A shaft ABCD is shown in Figure 3 with total length, L = 2.1 m. The shaft BC is hollowwith inner and outer diameters of 90 mm and 120 mm, respectively. Shafts AB and CDare solid with diameter d. Given the torque at A, B, C and D is 6 kNm, 14 kNm, 26 kNmand 6 kNm, respectively.a) Determine the maximum and minimum shearing stress in shaft BC. b) Calculate the required diameter, d of shafts AB and CD if the allowable shearingstress in these shafts is 65 MPa.