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Maximum Load on Axially Loaded Members Formula

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Maximum Axial Load is the load acting through the longitudinal axis of the section. Check FAQs

P u = 0.85 \cdot A g \cdot F cr

P_u - Maximum Axial Load?A_g - Gross Cross-Sectional Area?F_cr - Critical Buckling Stress?

Maximum Load on Axially Loaded Members Example

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Here is how the Maximum Load on Axially Loaded Members equation looks like with Values.

Here is how the Maximum Load on Axially Loaded Members equation looks like with Units.

Here is how the Maximum Load on Axially Loaded Members equation looks like.

296.82 = 0.85 \cdot 3600 \cdot 97

296.82kN = 0.85 \cdot 3600mm² \cdot 97MPa

296.82 = 0.85 \cdot 3600 \cdot 97

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Maximum Load on Axially Loaded Members Solution

Follow our step by step solution on how to calculate Maximum Load on Axially Loaded Members?

FIRST Step Consider the formula

P u = 0.85 \cdot A g \cdot F cr

Next Step Substitute values of Variables

∴

P u = 0.85 \cdot 3600mm² \cdot 97MPa

Next Step Convert Units

∴

P u = 0.85 \cdot 0.0036m² \cdot 9.7E+7Pa

Next Step Prepare to Evaluate

∴

P u = 0.85 \cdot 0.0036 \cdot 9.7E+7

Next Step Evaluate

∴

P u = 296820N

LAST Step Convert to Output's Unit

∴

P u = 296.82kN

Maximum Load on Axially Loaded Members Formula Elements

Variables

Maximum Axial Load

Maximum Axial Load is the load acting through the longitudinal axis of the section.

Symbol: P_u

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Maximum Axial Load

Gross Cross-Sectional Area

Gross Cross-Sectional Area is the total area of the cross-section of a structural member, such as a beam or column, measured in a plane perpendicular to the member's longitudinal axis.

Symbol: A_g

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Gross Cross-Sectional Area

Critical Buckling Stress

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.

Symbol: F_cr

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Critical Buckling Stress

Other formulas in Columns category

Go Critical Buckling Stress when Slenderness Parameter is Less than 2.25

F cr = {0.658}^{λ c} \cdot F y

Go Critical Buckling Stress when Slenderness Parameter is greater than 2.25

F cr = \frac{0.877 \cdot F y}{λ c}

Go Slenderness Parameter

λ c = {(\frac{k \cdot l}{r})}^{2} \cdot (\frac{F y}{286220})

How to Evaluate Maximum Load on Axially Loaded Members?

Maximum Load on Axially Loaded Members evaluator uses Maximum Axial Load = 0.85*Gross Cross-Sectional Area*Critical Buckling Stress to evaluate the Maximum Axial Load, The Maximum Load on Axially Loaded Members formula is defined as the greatest amount of axial force that a structural member (such as a column or strut) can safely carry without experiencing failure. The maximum load is determined based on the member's material properties, cross-sectional area, length, and boundary conditions, ensuring that the member does not exceed its yield strength or buckling capacity. Maximum Axial Load is denoted by P_u symbol.

How to evaluate Maximum Load on Axially Loaded Members using this online evaluator? To use this online evaluator for Maximum Load on Axially Loaded Members, enter Gross Cross-Sectional Area (A_g) & Critical Buckling Stress (F_cr) and hit the calculate button.

FAQs on Maximum Load on Axially Loaded Members

What is the formula to find Maximum Load on Axially Loaded Members?

The formula of Maximum Load on Axially Loaded Members is expressed as Maximum Axial Load = 0.85*Gross Cross-Sectional Area*Critical Buckling Stress. Here is an example- 0.29682 = 0.85*0.0036*97000000.

How to calculate Maximum Load on Axially Loaded Members?

With Gross Cross-Sectional Area (A_g) & Critical Buckling Stress (F_cr) we can find Maximum Load on Axially Loaded Members using the formula - Maximum Axial Load = 0.85*Gross Cross-Sectional Area*Critical Buckling Stress.

Can the Maximum Load on Axially Loaded Members be negative?

No, the Maximum Load on Axially Loaded Members, measured in Force cannot be negative.

Which unit is used to measure Maximum Load on Axially Loaded Members?

Maximum Load on Axially Loaded Members is usually measured using the Kilonewton[kN] for Force. Newton[kN], Exanewton[kN], Meganewton[kN] are the few other units in which Maximum Load on Axially Loaded Members can be measured.

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Maximum Load on Axially Loaded Members Formula

Maximum Load on Axially Loaded Members Example

Maximum Load on Axially Loaded Members Solution

Maximum Load on Axially Loaded Members Formula Elements

Other formulas in Columns category

How to Evaluate Maximum Load on Axially Loaded Members?

FAQs on Maximum Load on Axially Loaded Members

Variable Name