Epicyclic gear train- finding teeth

AI Thread Summary
The discussion revolves around calculating the number of teeth on an epicyclic gear train, specifically for gears A, D, and the planet gears, given a required gear ratio of 1:100 and a redesign of gear D to have 100 teeth. The fixed annulus gear C is mentioned, with input gear A rotating at 60 RPM and a torque of 10 Nm, while the efficiency is noted at 80%. The user expresses confusion about determining the number of teeth using the equation tc = td + 2tb due to having two unknowns. Assistance is requested to resolve this issue and find the necessary gear teeth counts. The thread highlights the complexities of gear calculations in epicyclic systems.
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Homework Statement


A gear ratio is req from A/D of 1:100 and that it will be necessary to redesign D so that it has 100 teeth. Determine:
a)number of teeth on c
b)number of teeth on planet gears.

This followed on from another question.
An epicyclic gear c is the annulus and is fixed. The input A rotates at 60rpm, torque of 10Nm. Efficiency 80%.
Teeth on td=60
Teeth on tb=130

Homework Equations


I can't see how to work out teeth using tc=td+2tb when there are two unknowns.
Any help will be gratefully recieved.
Thanks

The Attempt at a Solution

 
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Can anyone help with my question please? I am totally stuck!
 
can anyone help me please!
 
Thread 'Have I solved this structural engineering equation correctly?'

Thread 'Have I solved this structural engineering equation correctly?'

Hi all, I have a structural engineering book from 1979. I am trying to follow it as best as I can. I have come to a formula that calculates the rotations in radians at the rigid joint that requires an iterative procedure. This equation comes in the form of: $$ x_i = \frac {Q_ih_i + Q_{i+1}h_{i+1}}{4K} + \frac {C}{K}x_{i-1} + \frac {C}{K}x_{i+1} $$ Where: ## Q ## is the horizontal storey shear ## h ## is the storey height ## K = (6G_i + C_i + C_{i+1}) ## ## G = \frac {I_g}{h} ## ## C...
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