Critical Load Calculator, Formula, Critical Load Calculation

Critical Load Calculator:

Enter the values of modulus elasticity E_(lbf/lnches²₎, moment of inertia I_(lnches⁴₎  & length L²_(inches) to determine the value of Critical Load CL_(lbf).

Critical Load Formula:

The critical load CL_(lbf) in lbf is equal to the modulus elasticity E_(lbf/lnches²₎ in lbf per inches square to multiply the moment of inertia I_(lnches⁴₎ in length⁴ and again multiply the (3.141)² value and divided by the length L²_(inches) in inches.

The formula of critical force can be writtern as,

CL_(lbf) = ( pi² * E_(lbf/lnches²₎  * I_(lnches⁴₎ ) / L²_(inches)

Here,

CL_(lbf) = critical load in lbf

E_(lbf/lnches²₎  = modulus elasticity in lbf per inches square

I_(lnches⁴₎ = moment of inertia in lnches⁴

L²_(inches) = length in inches

Calculation of Critical Load:

1)To find the critical force and the modulus elasticity 400lbf/inches² and the moment of inertia 20lnches⁴ and the length 5inches.

Answer

CL = ( pi² * E * I ) /  L²

CL = ( 3.141² * 400 * 20 ) / 5²

CL = 3157.08lbf.

2)To find the length and the critical force 3157.08lbf and the modulus elasticity 400lbf/inches² and the moment of inertia 20lnches⁴ .

Answer

CL = ( pi² * E * I ) /  L²

3157.08 = ( 3.141² * 400 * 20 ) / L²

L = 5inches.

Critical Load in Columns: