BendingTorsionalAxialShoulder fillet-sharp (r/d = 0.02)2.72.23.0Shoulder fillet-well rounded (r/d = 0.1)1.71.51.9End-mill keyseat (r/d = 0.02)2.143.0Sled runner keyseat1.7|Retaining ring groove5.03.05.0 Obtain a preliminary design of the shaft by performing the following tasks. Note that forces T1=2880N and T=432 N. The maximum bending moment is at x= 230 mm (point B), and it equals M= 698.3N•m completely reversed, where the torque is constant at 612 N.m at the same point.The shaft material is AISI 1020 CD steel. Take the stress concentration conditions at B to be Shoulderfillet-sharp, with notch radius r=0.6 mm (Table 7-1).230 mmT,280 mm30-mm dia.T,300 mm250-mm dia.400-mm dia.270 Nx1800 Na) Sketch a general shaft layout in 2D (x – y axes), including all components and torques, thencalculate all reactions. :b) Based on the current shaft dimensions and using only forces at B and C, find the lowest criticalspeed of the shaft. (;c) Determine the fatigue factor of safety of the rotating shaft with the current dimensions using theDE-Gerber criteria. Use Eqs. 6-8 and 6-18 to find the endurance limit, account only for ka andk, in Eq. 6-18 and assume all remaining factors as 1.,Discard the indicated shaft diameter and use DE-Goodman criteria to determine the criticaldiameter of the shaft based on infinite fatigue life with a design factor n of 1.5. (Take the samevalue of endurance limit as that used in part e of this problem). (:

GIVEN: Force T1= 2880 NT2= 432 N Mmax=698.3 Nm @ x=230 mm torque T=612 Nm Shaft material: AISI…

Obtain a preliminary design of the shaft by performing the following tasks. Note that forces Ti=2880 N and T2-432 N. The maximum bending moment is at x = 230 mm (point B), and it equals M= 698.3 N•m completely reversed, where the torque is constant at 612 N.m at the same point. The shaft material is AISI 1020 CD steel. Take the stress concentration conditions at B to be Shoulder fillet-sharp, with notch radius r=0.6 mm (Table 7-1).

Obtain a preliminary design of the shaft by performing the following tasks. Note that forces Ti=2880 N and T2-432 N. The maximum bending moment is at x = 230 mm (point B), and it equals M= 698.3 N•m completely reversed, where the torque is constant at 612 N.m at the same point. The shaft material is AISI 1020 CD steel. Take the stress concentration conditions at B to be Shoulder fillet-sharp, with notch radius r=0.6 mm (Table 7-1).

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: Compute the torsional shear stress in a circular shaft with a diameter of 50 mm that is subjected to…

A: GivenT=800 Nmd=50mm=0.05 mFormulaσT=16Tπd3

Q: A solid shaft 2 inch in diameter is subjected into two torques .If the total angle of twist is eight…

A: Givend=2inT1=200 lb ft=200×12=2400 lb in

Q: diameter solid steel cylinder in which a 7 mm diameter hole has been drilled from end B up to point…

Q: Derive the Shear Stress and angular deflection for the shaft Shaft is steel with Mohulus rigidity of…

Q: The figure below show a stepped shaft in torsion. Compute the maximum shear stress at the step when…

Q: Problem #1. The 60-mm diameter shaft is subjected to torques as shown. If the applied allowable…

Q: Let's consider a solid circular shaft subjected to the torque loads as shown. Determine the minimum…

Q: Compute the torsional shear stress (MPa) in a 45-in circular steel shaft with a diameter of 42-mm…

A: The length of the circular shaft, (L)=45 in.The diameter of the shaft, (D)=42 mm.The torque on the…

Q: what is the Moment at point A

A: First find the moment produce by given torque as follows.

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

Q: A solid 1.6 in. diameter shaft is used to synchronize multiple mechanisms in a manufacturing plant.…

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

Q: A maximum allowable shear stress of 20 kpsi is given. NOTE: This is a multi-part question. Once an…

Q: The figure shows a shaft carrying three gears that rotates at 1150 rpm. Gear A delivers power =10kw…

A: Given, Gear A deliver 10KN Gear C deliver 15KN A shaft carrying 3 gears that rotates at 1150 rpm…

Q: Calculate the normal stress and the shear Stress at Points C and D The shaft is hollow; inner and…

A: shear stress at points C and D for a hollow shaft subjected to axial force (N), bending moment (M),…

Q: A non-rotating shaft shown in the figure is machined from AISI 1020 CD steel. It is subjected to a…

A: The factor of safety. FBD: The free-body diagram is shown below.

Q: A circular shaft of the dimensions shown in the following figure is subjected to three torques : T1…

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.

Concept explainers

Torsion

In mechanical engineering, torque, torsion, and twisting moment are three of the most important concepts which have different meanings. Torque is the consequence of a moment of a force that produces an angular acceleration in a body or induces rotational kinetic energy in a body. For instance, in an automobile, the power transmission shaft is a body that is always under rotation due to the external torque acting on it, this torque is created by the engine.

Question

Bending
Torsional
Axial
Shoulder fillet-sharp (r/d = 0.02)
2.7
2.2
3.0
Shoulder fillet-well rounded (r/d = 0.1)
1.7
1.5
1.9
End-mill keyseat (r/d = 0.02)
2.14
3.0
Sled runner keyseat
1.7
|
Retaining ring groove
5.0
3.0
5.0

Obtain a preliminary design of the shaft by performing the following tasks. Note that forces T1=2880
N and T=432 N. The maximum bending moment is at x= 230 mm (point B), and it equals M= 698.3
N•m completely reversed, where the torque is constant at 612 N.m at the same point.
The shaft material is AISI 1020 CD steel. Take the stress concentration conditions at B to be Shoulder
fillet-sharp, with notch radius r=0.6 mm (Table 7-1).
230 mm
T,
280 mm
30-mm dia.
T,
300 mm
250-mm dia.
400-mm dia.
270 Nx
1800 N
a) Sketch a general shaft layout in 2D (x – y axes), including all components and torques, then
calculate all reactions. :
b) Based on the current shaft dimensions and using only forces at B and C, find the lowest critical
speed of the shaft. (;
c) Determine the fatigue factor of safety of the rotating shaft with the current dimensions using the
DE-Gerber criteria. Use Eqs. 6-8 and 6-18 to find the endurance limit, account only for ka and
k, in Eq. 6-18 and assume all remaining factors as 1.,
Discard the indicated shaft diameter and use DE-Goodman criteria to determine the critical
diameter of the shaft based on infinite fatigue life with a design factor n of 1.5. (Take the same
value of endurance limit as that used in part e of this problem). (:

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

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 1 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

Please I want answer of that question from these choices
A turbine rotor is mounted on a stepped shaft that is fixed at both ends as shown in The torsional stiffnesses of the two segments of the shaft are given by ka = 3,000 N-m/rad and k2 = 4,000 N-m/rad. The turbine generates a harmonic torque given by M(t) = Mo cos wt about the shaft axis with M, = 200 N-m and w = 500 rads. The mass moment of inertia of the rotor about the shaft axis is Jo = 0.05 kg-m. Assuming the equivalent torsional damping constant of the system as c, = 2.5 N-m-s/rad, determine the steady-state response of the rotor, 6(1). O(1) ke M(1) = M, cos ot Turbine rotor, Jo
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
Please don't give an incorrect solution. Important problem, Include the FBD.
The proposed shaft is guided in rotation by two roller bearings O and C. T1 = 60 Ib T2 = 400 Ib Reactions: Ro = 293,25 Ib Rc = -178,25 Ib 1) Calculate the torsional stress of the shaft 2) Calculate the bending stress of the shaft
Please help. This problem involves torsional stress and strain. Thank you.
The problem is stated below. However, change the position of torque to point C from point D. What is the effect of variation of torque placement in shaft CB?
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.