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Maximum Strength for Compression Members Formula

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Strength of Column is the maximum load that a column can hold before failing. Check FAQs

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

P_u - Strength of Column?A_g - Gross Effective Area of Column?F_cr - Buckling Stress?

Maximum Strength for Compression Members Example

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Here is how the Maximum Strength for Compression Members equation looks like with Values.

Here is how the Maximum Strength for Compression Members equation looks like with Units.

Here is how the Maximum Strength for Compression Members equation looks like.

1054 = 0.85 \cdot 5000 \cdot 248

1054kN = 0.85 \cdot 5000mm² \cdot 248MPa

1054 = 0.85 \cdot 5000 \cdot 248

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Maximum Strength for Compression Members Solution

Follow our step by step solution on how to calculate Maximum Strength for Compression 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 5000mm² \cdot 248MPa

Next Step Convert Units

∴

P u = 0.85 \cdot 0.005m² \cdot 2.5E+8Pa

Next Step Prepare to Evaluate

∴

P u = 0.85 \cdot 0.005 \cdot 2.5E+8

Next Step Evaluate

∴

P u = 1054000N

LAST Step Convert to Output's Unit

∴

P u = 1054kN

Maximum Strength for Compression Members Formula Elements

Variables

Strength of Column

Strength of Column is the maximum load that a column can hold before failing.

Symbol: P_u

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Strength of Column

Gross Effective Area of Column

Gross Effective Area of Column cross section is the total area enclosed by the column including concrete and steel area.

Symbol: A_g

Measurement: AreaUnit: mm²

Note: Value can be positive or negative.

Formulas to find Gross Effective Area of Column

Buckling Stress

Buckling Stress is the stress developed due to a sudden change in shape of a structural component under load, such as the bowing of a column under compression.

Symbol: F_cr

Measurement: StressUnit: MPa

Note: Value can be positive or negative.

Formulas to find Buckling Stress

Other formulas in Load and Resistance Factor for Bridge Columns category

Go Column Gross Effective Area given Maximum Strength

A g = \frac{P u}{0.85 \cdot F cr}

Go Buckling Stress given Maximum Strength

F cr = \frac{P u}{0.85 \cdot A g}

Go Q Factor

Q factor = ({(k \cdot \frac{L c}{r})}^{2}) \cdot (\frac{f y}{2 \cdot π \cdot π \cdot E s})

Go Steel Yield Strength given Q Factor

f y = \frac{2 \cdot Q factor \cdot π \cdot π \cdot (r^{2}) \cdot E s}{{(k \cdot L c)}^{2}}

How to Evaluate Maximum Strength for Compression Members?

Maximum Strength for Compression Members evaluator uses Strength of Column = 0.85*Gross Effective Area of Column*Buckling Stress to evaluate the Strength of Column, The Maximum Strength for Compression Members formula is defined as the maximum loading capacity of it and is determined by the strength limit of the material. Strength of Column is denoted by P_u symbol.

How to evaluate Maximum Strength for Compression Members using this online evaluator? To use this online evaluator for Maximum Strength for Compression Members, enter Gross Effective Area of Column (A_g) & Buckling Stress (F_cr) and hit the calculate button.

FAQs on Maximum Strength for Compression Members

What is the formula to find Maximum Strength for Compression Members?

The formula of Maximum Strength for Compression Members is expressed as Strength of Column = 0.85*Gross Effective Area of Column*Buckling Stress. Here is an example- 1.054 = 0.85*0.005*248000000.

How to calculate Maximum Strength for Compression Members?

With Gross Effective Area of Column (A_g) & Buckling Stress (F_cr) we can find Maximum Strength for Compression Members using the formula - Strength of Column = 0.85*Gross Effective Area of Column*Buckling Stress.

Can the Maximum Strength for Compression Members be negative?

No, the Maximum Strength for Compression Members, measured in Force cannot be negative.

Which unit is used to measure Maximum Strength for Compression Members?

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

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