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Section Modulus about Axis of Bending for Long Column Formula

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Section Modulus is a geometric property for a given cross-section used in the design of beams or flexural members. Check FAQs

S = \frac{P compressive \cdot e}{σ b}

S - Section Modulus?P_compressive - Column Compressive Load?e - Column Maximum Bending?σ_b - Column Bending Stress?

Section Modulus about Axis of Bending for Long Column Example

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Here is how the Section Modulus about Axis of Bending for Long Column equation looks like with Values.

Here is how the Section Modulus about Axis of Bending for Long Column equation looks like with Units.

Here is how the Section Modulus about Axis of Bending for Long Column equation looks like.

320000 = \frac{0.4 \cdot 4}{0.005}

320000mm³ = \frac{0.4kN \cdot 4mm}{0.005MPa}

320000 = \frac{0.4 \cdot 4}{0.005}

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Section Modulus about Axis of Bending for Long Column Solution

Follow our step by step solution on how to calculate Section Modulus about Axis of Bending for Long Column?

FIRST Step Consider the formula

S = \frac{P compressive \cdot e}{σ b}

Next Step Substitute values of Variables

∴

S = \frac{0.4kN \cdot 4mm}{0.005MPa}

Next Step Convert Units

∴

S = \frac{400N \cdot 0.004m}{5000Pa}

Next Step Prepare to Evaluate

∴

S = \frac{400 \cdot 0.004}{5000}

Next Step Evaluate

∴

S = 0.00032m³

LAST Step Convert to Output's Unit

∴

S = 320000mm³

Section Modulus about Axis of Bending for Long Column Formula Elements

Variables

Section Modulus

Section Modulus is a geometric property for a given cross-section used in the design of beams or flexural members.

Symbol: S

Measurement: VolumeUnit: mm³

Note: Value should be greater than 0.

Formulas to find Section Modulus

Column Compressive Load

Column Compressive load is the load applied to a column that is compressive in nature.

Symbol: P_compressive

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Column Compressive Load

Column Maximum Bending

Column Maximum Bending is the maximum value of bending caused at the center of column.

Symbol: e

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Column Maximum Bending

Column Bending Stress

Column Bending Stress is the normal stress that is induced at a point in a body subjected to loads that cause it to bend.

Symbol: σ_b

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Column Bending Stress

Other formulas in Failure of a Column category

Go Area of Cross-Section given Compressive Stress Induced during Failure of Short Column

A sectional = \frac{P compressive}{σ c}

Go Area of Cross-Section given Stress due to Direct Load for Long Column

A sectional = \frac{P compressive}{σ}

Go Area of Cross Section of Column given Crushing Stress

A sectional = \frac{P c}{σ crushing}

Go Compressive Load given Compressive Stress Induced during Failure of Short Column

P compressive = A sectional \cdot σ c

How to Evaluate Section Modulus about Axis of Bending for Long Column?

Section Modulus about Axis of Bending for Long Column evaluator uses Section Modulus = (Column Compressive Load*Column Maximum Bending)/Column Bending Stress to evaluate the Section Modulus, Section Modulus about Axis of Bending for Long Column formula is defined as a measure of the ability of a long column to resist bending or buckling due to compressive forces, providing a critical value to determine the column's failure point. Section Modulus is denoted by S symbol.

How to evaluate Section Modulus about Axis of Bending for Long Column using this online evaluator? To use this online evaluator for Section Modulus about Axis of Bending for Long Column, enter Column Compressive Load (P_compressive), Column Maximum Bending (e) & Column Bending Stress (σ_b) and hit the calculate button.

FAQs on Section Modulus about Axis of Bending for Long Column

What is the formula to find Section Modulus about Axis of Bending for Long Column?

The formula of Section Modulus about Axis of Bending for Long Column is expressed as Section Modulus = (Column Compressive Load*Column Maximum Bending)/Column Bending Stress. Here is an example- 3.2E+14 = (400*0.004)/5000.

How to calculate Section Modulus about Axis of Bending for Long Column?

With Column Compressive Load (P_compressive), Column Maximum Bending (e) & Column Bending Stress (σ_b) we can find Section Modulus about Axis of Bending for Long Column using the formula - Section Modulus = (Column Compressive Load*Column Maximum Bending)/Column Bending Stress.

Can the Section Modulus about Axis of Bending for Long Column be negative?

No, the Section Modulus about Axis of Bending for Long Column, measured in Volume cannot be negative.

Which unit is used to measure Section Modulus about Axis of Bending for Long Column?

Section Modulus about Axis of Bending for Long Column is usually measured using the Cubic Millimeter[mm³] for Volume. Cubic Meter[mm³], Cubic Centimeter[mm³], Liter[mm³] are the few other units in which Section Modulus about Axis of Bending for Long Column can be measured.

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Section Modulus about Axis of Bending for Long Column Formula

Section Modulus about Axis of Bending for Long Column Example

Section Modulus about Axis of Bending for Long Column Solution

Section Modulus about Axis of Bending for Long Column Formula Elements

Other formulas in Failure of a Column category

How to Evaluate Section Modulus about Axis of Bending for Long Column?

FAQs on Section Modulus about Axis of Bending for Long Column

Variable Name