Maximum Load on Axially Loaded Members Calculator

✖Gross Cross-Sectional Area of the member.ⓘ Gross Cross-Sectional Area [A_g]			+10% -10%
✖Critical Buckling Stress is the maximum stress that can be taken by the section without failure. Any stress surpassing the critical stress makes the section, say, column to failure.ⓘ Critical Buckling Stress [F_cr]			+10% -10%

✖Maximum Axial Load is the load acting through the longitudinal axis of the section.ⓘ Maximum Load on Axially Loaded Members [P_u]

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Formula

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Maximum Load on Axially Loaded Members

Formula

`"P"_{"u"} = 0.85*"A"_{"g"}*"F"_{"cr"}`

Example

`"296.82kN"=0.85*"3600mm²"*"97MPa"`

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Download Design of Steel Structures Formula PDF

Maximum Load on Axially Loaded Members Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Axial Load = 0.85*Gross Cross-Sectional Area*Critical Buckling Stress
P_u = 0.85*A_g*F_cr
This formula uses 3 Variables

Variables Used

Maximum Axial Load - (Measured in Newton) - Maximum Axial Load is the load acting through the longitudinal axis of the section.
Gross Cross-Sectional Area - (Measured in Square Meter) - Gross Cross-Sectional Area of the member.
Critical Buckling Stress - (Measured in Pascal) - Critical Buckling Stress is the maximum stress that can be taken by the section without failure. Any stress surpassing the critical stress makes the section, say, column to failure.

STEP 1: Convert Input(s) to Base Unit

Gross Cross-Sectional Area: 3600 Square Millimeter --> 0.0036 Square Meter (Check conversion here)
Critical Buckling Stress: 97 Megapascal --> 97000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_u = 0.85*A_g*F_cr --> 0.85*0.0036*97000000

Evaluating ... ...

P_u = 296820

STEP 3: Convert Result to Output's Unit

296820 Newton -->296.82 Kilonewton (Check conversion here)

FINAL ANSWER

296.82 Kilonewton <-- Maximum Axial Load

(Calculation completed in 00.004 seconds)

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Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

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Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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Slenderness Parameter

Go Slenderness parameter = ((Effective Length Factor*Effective Column Length)/(Radius of Gyration))^2*(Yield Stress of Steel/286220)

Critical Buckling Stress when Slenderness Parameter is greater than 2.25

Go Critical Buckling Stress = (0.877*Yield Stress of Steel)/Slenderness parameter

Critical Buckling Stress when Slenderness Parameter is Less than 2.25

Go Critical Buckling Stress = 0.658^(Slenderness parameter)*Yield Stress of Steel

Maximum Load on Axially Loaded Members

Go Maximum Axial Load = 0.85*Gross Cross-Sectional Area*Critical Buckling Stress

Maximum Load on Axially Loaded Members Formula

Maximum Axial Load = 0.85*Gross Cross-Sectional Area*Critical Buckling Stress
P_u = 0.85*A_g*F_cr

What is Buckling Stress?

The Elastic Buckling Stress is the highest value of the compressive stress in the plane of the initially flat plate, in which a nonzero out-of-plane deflection of the middle portion of the plate can exist.

How to Calculate Maximum Load on Axially Loaded Members?

Maximum Load on Axially Loaded Members calculator uses Maximum Axial Load = 0.85*Gross Cross-Sectional Area*Critical Buckling Stress to calculate the Maximum Axial Load, The Maximum Load on Axially Loaded Members formula is defined as the maximum load or maximum limit of force that can be applied to the member. Maximum Axial Load is denoted by P_u symbol.

How to calculate Maximum Load on Axially Loaded Members using this online calculator? To use this online calculator for Maximum Load on Axially Loaded Members, enter Gross Cross-Sectional Area (A_g) & Critical Buckling Stress (F_cr) and hit the calculate button. Here is how the Maximum Load on Axially Loaded Members calculation can be explained with given input values -> 0.29682 = 0.85*0.0036*97000000.

FAQ

What is Maximum Load on Axially Loaded Members?

The Maximum Load on Axially Loaded Members formula is defined as the maximum load or maximum limit of force that can be applied to the member and is represented as P_u = 0.85*A_g*F_cr or Maximum Axial Load = 0.85*Gross Cross-Sectional Area*Critical Buckling Stress. Gross Cross-Sectional Area of the member & Critical Buckling Stress is the maximum stress that can be taken by the section without failure. Any stress surpassing the critical stress makes the section, say, column to failure.

How to calculate Maximum Load on Axially Loaded Members?

The Maximum Load on Axially Loaded Members formula is defined as the maximum load or maximum limit of force that can be applied to the member is calculated using Maximum Axial Load = 0.85*Gross Cross-Sectional Area*Critical Buckling Stress. To calculate Maximum Load on Axially Loaded Members, you need Gross Cross-Sectional Area (A_g) & Critical Buckling Stress (F_cr). With our tool, you need to enter the respective value for Gross Cross-Sectional Area & Critical Buckling Stress and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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