Basic Calculation of Power Screws

Calculates power screws loaded by torsion and pressure, and checks for buckling and pressure in the thread using metric or English units, depending on the specified standard. With the ANSI standard, English units are used with corresponding screw dimensions.

Input Parameters

F

maximal axial force [N, lb]

T

maximal.moment [Nm, lb ft]

f 1

thread friction factor between the nut and screw [-]

Note: The influence of the angle of thread must be included in the thread friction factor value.

d

screw thread diameter [mm, in]

p

pitch [mm, in]

d s

mean screw diameter [mm, in]

d min

minimum screw diameter [mm, in]

H

nut height [mm, in]

n

factor for end conditions according to the diagrammatic picture of mounting types [-]

L

maximum loaded length of a screw [mm, in]

S y

yield strength [MPa, psi]

k s

safety factor (The value is selected according to the required safety level.) [-]

p a

allowable thread pressure [MPa, psi]

E

screw elasticity module [MPa, psi]

Calculated Parameters

Reduced length

L red = n L

Min. section area

S min = π d min 2 / 4

Helix Angle (Lead angle)

Efficiency

For “Rotation to Shift”

 

For “Shift to Rotation”

 

 

If α < arc tan f 1 , η = 0

Maximum moment - if it is the output moment

T = F p / (2 πη)

Maximum axial force - if it is the output force

F = 2 T πη / p

Slenderness ratio

λ = 4 L red / d s

Pressure stress

σ t = F / S min

Torsion stress

Reduced stress

Rankin Critical Stress

Euler Critical Stress

σ E = π 2 E / λ 2

Johnson Critical Stress

Calculated thread pressure

Calculated factor of safety

k v = min (S y / σred, min (σ R , σ F , σ J ) / σ t )

Strength check

k v k s

p c p A