spline stress calculation based on “when splines need stress control” by darle w. dudley

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Page 1: Spline stress calculation based on “When Splines Need Stress Control” by Darle W. Dudley

Spline stress calculation.External splines.

This program is based on published article “When Splines Need Stress Control” by Darle W. Dudley.Stepan Lunin and Scott Burnett.

2006.

Metric. DIN. Click here.

Input data:

Pitch Diameter, in: D

Bore Diameter of Shaft, in: Dh

Root Diameter, in: Dre

Radial Height of Tooth In Contact, in: h

Effective Face Width, in: Fe

Application Factor (Table II): Ka

Load Distribution Factor (Table IV): Km

Life Factor Limited by Fatigue (Table

III):Lf

Life Factor Limited by Wear, Flexible

Splines (Table VI):Lw

Number of Spline Teeth: N

Chordal Tooth Thickness at Pitch Line, in

(MIN):tc

Torque, in-lb = 63,000 * HP / n: T

Allowable Shear Stress (Table I): Ss

Allowable Compressive Stress (Table V): Sc

Allowable Tensile Stress (Table VII): St

Calculate

Output data:

Allowable shear

stress in

shaft,S_s2(PSI) :

S_s2=Ss*Lf/Ka

Shaft Stresses

S_s1(PSI):

S_s1=16*T*Dre/(Pi*

(Dre^4-Dh^4))

Margin of safety

(needs to be > 0):S_s2/S_s1-1

Allowable shear

stress in

Teeth,S_s2(PSI)S_s2=Ss*Lf/Ka

► Gear Calculation ► Load Calculation ► Stress Analysis ► Pinion Gear

Page 2: Spline stress calculation based on “When Splines Need Stress Control” by Darle W. Dudley

:

Shear Stressesin TeethS_s3(PSI):

S_s3=4*T*Km/(D*N*Fe*tc)

Margin of safety(needs to be >

0):

S_s2/S_s3-1

Flexible Spline

AllowableCompressivestress inTeeth,S_s5(PSI):

S_s5=Sc*Lw/Ka

CompressiveStresses in TeethS_s4(PSI):

S_s4=2*T*Km/(D*N*Fe*h)

Margin of safety(needs to be >0):

S_s5/S_s4-1

Fixed Spline

AllowableCompressivestress inTeeth,S_s6(PSI):

S_s6=Sc*9*Lf/Ka

CompressiveStresses in TeethS_s4(PSI):

S_s4=2*T*Km/(D*N*Fe*h)

Margin of safety(needs to be >0):

S_s6/S_s4-1

Clear

For internal splines cick here:

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