Gear Calculation

Posted in: , on 27. Sep. 2009 - 19:21

Hi All,

Please some can help me about to calculate the Troque, power and Total teengential forece ,Total radial force and total axial force. of two helical gear on one shaft and there is two shafts. Alpha is 20 degree and Beta is 28.202degree, and 1500 r/min, 785kw. diameters on gears are 520 mm and 156.415mm.L1=L3=109.5mm and L2=160mm

T= 9550 P/n , i want to know that what is the power act on each gear on one shaft. And i also want to calculate the location of load on bearing hole. which is condisder just 120 degreeof whloe radius. width= 93 mm diameter=114mm,and width= 90 mm diameter=84mm.

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Re: Gear Calculation

Posted on 27. Sep. 2009 - 05:50

Dear Rizwan,

You have almost solved your own problem.

For the load analysis of each shaft, which seem to be OK, solve the 6 equilibrium equations:

horizontal forces in x-direction = 0

horizontal forces in z-direction = 0

vertical forces in y-direction = 0

moments around x-axis = 0

moments around z- axis = 0

moments around y- axis = 0

Torque = Power/omega = Tangential force * Radius

omega = radial speed = 2 * 3.141593 * rpm / 60

Do not forget to make a vector diagram of the forces on the gear teeth.

If you make no errors then the axial load on a bearing is 0, because the axial forces stay within the gears themselves.

success

Teus

Teus

Gear Calultion

Posted on 28. Sep. 2009 - 03:57

Thanks, Teus Tuinenburg ,

About it, and the power and troque will be same on gear on same shaft ?And please can you tell please tell me or some one help me about last figure( calculating the load location on bearing) actually i want to apply load on bearing on FEM 3-D modle so i have to calculate location. so please help me about it

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Gear Calultion

Posted on 28. Sep. 2009 - 05:04

Hi Teus Tuinenburg,

And i want to calculate Ft1 +Ft2=Ft not driectly so how i can calculate it ? for all forces? Fa=Fa1+Fa2 and Fr= Fr1 + Fr2. Because i already calulate Ft from as you given formula which give me total tengetila force but i want sperate for each force and i have given data is Power 785 k.w and 1500 r/min. if i know the power and Troque for each gear so i can calculate i think!!!!!!!!!!! so it can possible?

Thanks

Rizwan

Re: Gear Calculation

Posted on 28. Sep. 2009 - 05:54

Dear Rizwan,

Power in kW is the same for each gear, disregarded losses. (Law of conservation of energy)

The gearbox, which you describe, is an rpm step up gearbox.

The torque on shaft 2 equals the torque on shaft 1 divided by the gear ratio.

Power = Torque 1 x omega 1

Power = Torque 2 x omega 2

The tangential forces, radial forces and axial forces on the meshing teeth are equal for both gears. (Newton: action equals reaction)

Tangential force = Torque 1 / Radius 1

Tangential force = Torque 2 / Radius 2

radial force = tangential force / tan(alpha)

axial force = tangential force / tan(beta)

(if I did this correctly)

Because this is a double gear wheel, each gear teeth set carries half the power.

The axial force of one gear set (beta = +) compensates the axial gear force of the other set (beta = -).

The axial resultant force is therefore 0

From the equilibrium of forces (in space), the resulting bearing reactions (in space) is then determined.

I know it is quite some effort, which needs the upmost accuracy.

Are you sure that you apply sleeve bearings?

Success

Teus

Teus

Gear Calultion

Posted on 29. Sep. 2009 - 05:30

Hi Teus Tuinenburg,

Thanks alot i slove my problem . And i have to apply force on sfotware (Ansys) so its solve my problem..

Thanks once again for yours help,

Rizwan

Gear Design

Posted on 2. Oct. 2009 - 04:56

there will be no axial load as the gears are double helical in action

it is not specified whether the pinion is the input or output?

is it a speed increaser?

by the looks of the arrows it seems that the 520 gear is the input?

please clarify