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Formula used to calculate Allowable Buckling Load

Formula used to calculate allowable buckling load.

PCR = m× d2 L 2

Make sure PCR > W×Sf

PCR：Allowable Buckling Load N{kgf}

d：Screw Root Dia. mm(Refer to the major specifications page for each product. )

m：Support coefficient (Select installation condition from the figures below. )

L：Distance between points of load mm
(Maximum dimension in the dimensions table of each frame No. If an end fitting is required, see the dimension of the end fitting. )

W：Load / jack 　N{kgf}

Sf：Buckling safety rate (Assume 4 )

Installation Conditions

Fixed base - Shaft end free
A Fixed base - Shaft end free
m
SI Unit 2.5×104
Gravity unit {2.5×103}
Both ends with clevis
B Both ends with clevis
m
SI Unit 10×104
Gravity unit {10×103}
Fixed base - Guided shaft end/Fixed shaft end
C Fixed base - Guided shaft end/Fixed shaft end
m
SI Unit 20×104
Gravity unit {20×103}
SI Unit

We calculate the PCR of JWM100USH5JI, based on 49000N load and installation condition C (Fixed base and guided shaft end/Fixed shaft end.)

  • PCR = 20×104× 38.42 791* 2 = 695027N
    W×SF = 49000×4(Assuming Sf=4 )
    = 196000N
    PCR > W×Sf
    695027 > 196000 ... OK

    *L = 711 + 80(I-shaped end fitting ) = 791
    From the product dimension table

{Gravity unit }

We calculate the PCR of JWM100USH5JI, based on 5000kgf load and installation condition C (Fixed base and guided shaft end/Fixed shaft end.)

  • PCR = 20×103× 38.42 791* 2 = 69502kgf
    W×SF = 5000×4(Assuming Sf=4 )
    = 20000kgf
    PCR > W×Sf
    69502 > 20000 ... OK

    *L = 711 + 80(I-shaped end fitting ) = 791
    From the product dimension table

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