3.4-7 A solid steel shaft ABCDE turns freely in bearings at points A and E. The shaft is driven by the gear at C, which applies a torque T, = 325 lb-ft. Gears at B and D are driven by the shaft and have resisting torques T = 200 Ib-ft and T3 = 125 lb-ft, respectively. Segments BC and CD have lengths LBC = 20 in. and LcD = 15 in. and the shear modulus G = 11,600 ksi. Determine the minimum required diameter (d) of the shaft if the allowable shear stress T, = 6 ksi. Also calculate the angle of twist between gears B and D. T2 T3 EX B. D -LBCLCD

3.4-7 A solid steel shaft ABCDE turns freely in bearings at points A and E. The shaft is driven by the gear at C, which applies a torque T, = 325 lb-ft. Gears at B and D are driven by the shaft and have resisting torques T = 200 Ib-ft and T3 = 125 lb-ft, respectively. Segments BC and CD have lengths LBC = 20 in. and LcD = 15 in. and the shear modulus G = 11,600 ksi. Determine the minimum required diameter (d) of the shaft if the allowable shear stress T, = 6 ksi. Also calculate the angle of twist between gears B and D. T2 T3 EX B. D -LBCLCD

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: Q.I: A shaft composed of segments AB, BC is fixed between the two walls at A and C and loaded as…

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: 3.4-1 A stepped shaft ABC consisting of two solid circular segments is subjected to torques 7, and…

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

Q: A 1.25-in-dia solid steel shaft with several twisting couples is shown in figure 1. For TA = 10000…

A: Given data: TA= 10000 lb.inTB= 20000 lb.inTC= 30000 lb.ind=1.25 in Need to determine the magnitude…

Q: The motor shown supplies 126 hp at 1340 rpm at A. Shafts (1) and (2) are each solid…

A: The power supplies by motor is The speed of motor is The diameter of shaft 1 and 2 is The modulus of…

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 stepped shaft ABCO consisting of solid circular segments is sublected to three torques, as shown…

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

Q: A torsional bar is subjected to two external torques (10Nm and 5Nm) and a distributed torque…

A: according to the details given above

Q: A solid shaft BC is fixed at the B end and subjected to torque T at the C end, as shown below. The…

Q: 4 kN 3 kN 375 mm 375 mm B 750 mm As shown in the figure, the shaft is supported by bearings A and B…

A: Given data Material used A36 Diameter of the shaft = 50mm To determine the maximum theoretical…

Q: The end gear (closest to the journal bearing at A) is subjected to the loading shown in the figure.…

A: Given: The yields strength of material = 80 MPa

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

100%

3.4-7 A solid steel shaft ABCDE turns freely in
bearings at points A and E. The shaft is driven by the
gear at C, which applies a torque T, = 325 lb-ft. Gears
at B and D are driven by the shaft and have resisting
torques T = 200 Ib-ft and T3 = 125 lb-ft, respectively.
Segments BC and CD have lengths LBC = 20 in. and
LcD = 15 in. and the shear modulus G = 11,600 ksi.
Determine the minimum required diameter (d) of
the shaft if the allowable shear stress T, = 6 ksi. Also
calculate the angle of twist between gears B and D.
T2
T3
EX
B.
C
D.
LBC
PROBLEM 3.4-7

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

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 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

= 1.3-18 A stepped shaft ABC consisting of two solid，circular segments is subjected to uniformly distrib uted torque i，acting over segment 1 and concentrated torqueT₂applied at C，as shown in the figure。Seg ment 1 of the shaft has a diameter ofd₁= 57 mm and length ofL₁= 0.75 m; segment 2 has a diameterd₂= 44 mm and lengthL₂= 0.5 m。Torque intensity1₁3100 N m / m andT₂= 1100 N·m。（a）Find reaction torque T at support A.（b）Find the internal torque T（x）at two locations：
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 steel stepped shaft ABCD fixed at A is subjected to three torques at points B, C and D, with magnitudes T₁ = 40 kip-in, T₂ = 50 kip-in and Ts= 30 kip-in and directions as shown in Figure 1.1. The segments AB and BC are solid with diameters dx = 3 in and dec = 2 in respectively, while segment CD is hollow with an outer diameter dan 1.5 in and a wall thickness of 0.25 in. The shear modulus of elasticity is equal to G=11.6x10³ ksl. T₁ T₂ 4 = 20 in A B L₂ = 20 in Figure 1.1 a) Draw the torsion moment diagram for the shaft and calculate how long should segment CD be so that the angle of twist between points B and D is equal to zero. T₁ 4₂-25 in b) If Ts is dropped, a fixed support is added at point D (as shown in Figure 1.2) and the length of segment CD is equal to 15 in, find the support reactions at points A and D and the maximum shear stress developed in segment BC. The magnitudes of the torques at points B and Care the same as in part a). B C L₂= 25 in T₂ * Figure 1.2 Hollow C Hollow…
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
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
Formulate the equation of angle of twist at end C with respect to A in terms of T
Gear shaft ABCDE is subjected to the torques shown in the figure. Find the internal torque in each seg- ment, and then plot the torsional moment diagram. Assume that the spacing between gears is constant, i.e., 10 in. T1 = T2 = 1000 lb-in. 500 lb-in. A B T3 = 800 Ib-in. C Ta = 500 lb-in. d = 1.0 in. D T; = 800 lb-in. E
For the circular shaft (G=12×106 psi) shown below: a. Compute the reaction torque and draw the torque (T) diagram. b. Find the max shear stress (Tmax) along the shaft. c. Compute the angle of twist AE at E. 1000 lb in 500 lb in 800 lb. in A B 2 in 2 in + 3 in D 5 in to E AC CD 2 DE
The shaft in Figure below consists of a 3-in. -diameter aluminum segment that is rigidly joined to a 2-in. -diameter steel segment. The ends of the shaft are attached to rigid supports, Calculate the maximum shear stress developed in each segment when the torque T= 10 kip.in is applied. Use G = 4×106 psi for aluminum and G = 12×106 psi for steel. Aluminum 3-in. diameter 6 ft T Steel 2-in. diameter 3 ft
The shaft shown in the figure is machined from AISI 1040 cold- drawn steel. The shaft rotates at 1600 rpm and is supported in rolling bearing at A and B. The applied forces are Fj=4.8 kN and F=9.6kN. Assume that the bending stress is completely reversed. (a) Draw bending-moment diagram and calculate the moment at the following four points (0-@). And then, calculate the maximum reversing stress at the critical position which the failure is expected.