Mechanics of material shaft coupling

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Discussion Overview

The discussion revolves around the mechanics of a material shaft coupling, focusing on the design and analysis of the shaft and its components under various loading conditions. Participants explore the calculations necessary for ensuring the shaft can safely transfer power while meeting specified constraints, including shear stress, deflection, and angle of twist.

Discussion Character

  • Technical explanation
  • Mathematical reasoning
  • Homework-related
  • Debate/contested

Main Points Raised

  • One participant outlines the system configuration, including the shaft length, power transfer, and dimensions of gears and wheels, while stating assumptions about load transfer and neglecting inertia forces.
  • Another participant calculates the torque based on the power and frequency, presenting a value of approximately 44.95 N/m².
  • A participant mentions drawing a free body diagram for the shaft, indicating an analytical approach to understanding forces acting on the system.
  • There is a question raised about whether the bearing acts as a reaction force, indicating uncertainty regarding the role of bearings in the system.

Areas of Agreement / Disagreement

Participants have not reached a consensus on the placement of the second bearing or the role of the bearing as a reaction force. Multiple viewpoints and calculations are presented, but the discussion remains unresolved regarding these aspects.

Contextual Notes

The discussion includes various assumptions and conditions that may affect the calculations, such as the specific placement of bearings and the nature of forces acting on the shaft. There are also unresolved mathematical steps related to the design requirements.

Who May Find This Useful

Students and professionals interested in mechanical engineering, particularly those focused on shaft design, power transmission systems, and structural analysis of mechanical components.

falah alajmi
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A shaft of a total length L, connected via coupling C to the engine on the left-hand side,
transfers the power P while rotating with n revolutions per second.
A gear with pitch diameter D1 and thickness t1attached to the shaft at the distance Lg from the coupling C is in mesh with the driven gear attached to the parallel shaft. The two shaft axes are laying in a horizontal plane as well as the point in mesh.
The traction wheel with radius RT and thickness tT is fastened at the free end of the shaft and powers a driven wheel via belt. The driven wheel with radius RD is fixed on the shaft positioned at the horizontal distance x.
The shaft is supported by two bearings with the given distance of the first bearing to be LB1 from the coupling.
Assumptions:
The contact between gears is assumed to take place within a very small region (point) thus the load transfer between the gears can be simulated as a concentrated force F.
Neglect all inertia forces at this stage.
data :
P =35 KW L=1.4 m n= 124 rev/s C is a Spline shaft D1 =125mm T1=30mm Rt=73mm
tT=20mm Lg=0.98m x=0.246m RD=58mm Lb1=0.11m F=20 N
Task:
1. Design the dimensions of the shaft, and position of the second bearing so the given power can be transferred while:
a)the shear stresses developed due to torque would remain constant within the whole length of the shaft. Consider factor of safety 2.5
b)the maximum deflection of the shaft should not exceed given value a = 0.5 mm
c)the maximum angle of twist should not exceed given angle φ = 10

3. Design the brake that will be able to bring the shaft to stop and compute the stresses as they will develop in the major parts of the system.

4. Design the coupling system C specified in the data and compute stresses developed within the major elements of the coupling.

5. Calculate the maximum bending and shear stresses, and determine the position of the cross-section, where this peak stresses occurs.

6. Provide the technical detail drawing of the shaft and the coupling.
Your report must include:
a) Full report of your material characterization – aim, methodology, and instrumentation used, measured data, computed data, analysis of the results with evaluation of the error, and final conclusion.
b) Computation of all shaft dimensions and stresses developed in the shaft, SF – BM diagram (with corresponding static equations), identification of the locations of maximum and minimum stresses, computation of favourable position of the second bearing so the shaft would be exposed to minimum wear off.
c) Evaluation of the maximum deflection with identification of the position along the shaft, and suggest changes (if any) for better design with regards to bearings position (where would you place the bearings and why).
d) Description of coupling used specifying how the power is transferred through the system, design of coupling dimensions stating all assumptions and calculation used together with reference to standards, computation of stresses in all major parts of the coupling
e) Description of the break system, how does the break work, what is the limit torque the break is able to bring to stop, and computation of stresses in all major parts of the break.

I just have this assignment but when I started doing it I don't know how to start I just draw the shaft coupling but I don't know where to place the second shaft to have the three case , so could some one give me the equations for each three cases of locate the second bear and does the bear act as a reaction force or not ?
that what I am want right now then I might ask you about some thing else ?

thanks
sincerely
falah alajmi
 
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I found the torque to be about 44.95 N/m^2
from the equation P = 2πTƒ
 
I Draw the free body diagram for the shaft
 
is the bearing going to be a reaction force ?
 

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