Section Modulus about Axis of Bending for Long Column Calculator

✖Column Compressive load is the load applied to a column that is compressive in nature.ⓘ Column Compressive Load [P_compressive]			+10% -10%
✖Column Maximum Bending is the maximum value of bending caused at the center of column.ⓘ Column Maximum Bending [e]			+10% -10%
✖Column Bending Stress is the normal stress that is induced at a point in a body subjected to loads that cause it to bend.ⓘ Column Bending Stress [σ_b]			+10% -10%

✖Section Modulus is a geometric property for a given cross-section used in the design of beams or flexural members.ⓘ Section Modulus about Axis of Bending for Long Column [S]

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Formula

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Section Modulus about Axis of Bending for Long Column

Formula

`"S" = ("P"_{"compressive"}*"e")/"σ"_{"b"}`

Example

`"320000mm³"=("0.4kN"*"4mm")/"0.005MPa"`

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Section Modulus about Axis of Bending for Long Column Solution

STEP 0: Pre-Calculation Summary

Formula Used

Section Modulus = (Column Compressive Load*Column Maximum Bending)/Column Bending Stress
S = (P_compressive*e)/σ_b
This formula uses 4 Variables

Variables Used

Section Modulus - (Measured in Cubic Meter) - Section Modulus is a geometric property for a given cross-section used in the design of beams or flexural members.
Column Compressive Load - (Measured in Newton) - Column Compressive load is the load applied to a column that is compressive in nature.
Column Maximum Bending - (Measured in Meter) - Column Maximum Bending is the maximum value of bending caused at the center of column.
Column Bending Stress - (Measured in Pascal) - Column Bending Stress is the normal stress that is induced at a point in a body subjected to loads that cause it to bend.

STEP 1: Convert Input(s) to Base Unit

Column Compressive Load: 0.4 Kilonewton --> 400 Newton (Check conversion here)
Column Maximum Bending: 4 Millimeter --> 0.004 Meter (Check conversion here)
Column Bending Stress: 0.005 Megapascal --> 5000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S = (P_compressive*e)/σ_b --> (400*0.004)/5000

Evaluating ... ...

S = 0.00032

STEP 3: Convert Result to Output's Unit

0.00032 Cubic Meter -->320000 Cubic Millimeter (Check conversion here)

FINAL ANSWER

320000 Cubic Millimeter <-- Section Modulus

(Calculation completed in 00.004 seconds)

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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< 15 Failure of a Column Calculators

Section Modulus about Axis of Bending for Long Column

Go Section Modulus = (Column Compressive Load*Column Maximum Bending)/Column Bending Stress

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

Go Column Cross Sectional Area = Column Compressive Load/Column Compressive Stress

Compressive Load given Compressive Stress Induced during Failure of Short Column

Go Column Compressive Load = Column Cross Sectional Area*Column Compressive Stress

Compressive Stress Induced during Failure of Short Column

Go Column Compressive Stress = Column Compressive Load/Column Cross Sectional Area

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

Go Column Cross Sectional Area = Column Compressive Load/Direct Stress

Compressive Load given Stress Due to Direct Load for Long Column

Go Column Compressive Load = Column Cross Sectional Area*Direct Stress

Stress Due to Direct Load for Long Column

Go Direct Stress = Column Compressive Load/Column Cross Sectional Area

Area of Cross Section of Column given Crushing Stress

Go Column Cross Sectional Area = Crushing load/Column Crushing Stress

Crushing Stress for Short Column

Go Column Crushing Stress = Crushing load/Column Cross Sectional Area

Crushing Load for Short Column

Go Crushing load = Column Cross Sectional Area*Column Crushing Stress

Stress Due to Bending at Center of Column given Minimum Stress for Failure of Long Column

Go Column Bending Stress = Minimum Stress Value-Direct Stress

Minimum Stress for Failure of Long Column

Go Minimum Stress Value = Direct Stress+Column Bending Stress

Stress Due to Bending at Center of Column given Maximum Stress for Failure of Long Column

Go Column Bending Stress = Maximum Stress-Direct Stress

Stress Due to Direct Load given Maximum Stress for Failure of Long Column

Go Direct Stress = Maximum Stress-Column Bending Stress

Maximum Stress for Failure of Long Column

Go Maximum Stress = Direct Stress+Column Bending Stress

< 15 Modes of Failure in Eccentric Compression Calculators

Section Modulus about Axis of Bending for Long Column

Go Section Modulus = (Column Compressive Load*Column Maximum Bending)/Column Bending Stress

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

Go Column Cross Sectional Area = Column Compressive Load/Column Compressive Stress

Compressive Load given Compressive Stress Induced during Failure of Short Column

Go Column Compressive Load = Column Cross Sectional Area*Column Compressive Stress

Compressive Stress Induced during Failure of Short Column

Go Column Compressive Stress = Column Compressive Load/Column Cross Sectional Area

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

Go Column Cross Sectional Area = Column Compressive Load/Direct Stress

Compressive Load given Stress Due to Direct Load for Long Column

Go Column Compressive Load = Column Cross Sectional Area*Direct Stress

Stress Due to Direct Load for Long Column

Go Direct Stress = Column Compressive Load/Column Cross Sectional Area

Area of Cross Section of Column given Crushing Stress

Go Column Cross Sectional Area = Crushing load/Column Crushing Stress

Crushing Stress for Short Column

Go Column Crushing Stress = Crushing load/Column Cross Sectional Area

Crushing Load for Short Column

Go Crushing load = Column Cross Sectional Area*Column Crushing Stress

Stress Due to Bending at Center of Column given Minimum Stress for Failure of Long Column

Go Column Bending Stress = Minimum Stress Value-Direct Stress

Minimum Stress for Failure of Long Column

Go Minimum Stress Value = Direct Stress+Column Bending Stress

Stress Due to Bending at Center of Column given Maximum Stress for Failure of Long Column

Go Column Bending Stress = Maximum Stress-Direct Stress

Stress Due to Direct Load given Maximum Stress for Failure of Long Column

Go Direct Stress = Maximum Stress-Column Bending Stress

Maximum Stress for Failure of Long Column

Go Maximum Stress = Direct Stress+Column Bending Stress

Section Modulus about Axis of Bending for Long Column Formula

Section Modulus = (Column Compressive Load*Column Maximum Bending)/Column Bending Stress
S = (P_compressive*e)/σ_b

Where is Bending Stress Maximum?

The bottom die has a large deflection due to the bending force. The maximum bending stress occurs at the top surface of the die, and its location is corresponding to the inner bumps of the bottom die. The deflection of the beam is proportional to the bending moment, which is also proportional to the bending force.

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

Section Modulus about Axis of Bending for Long Column calculator uses Section Modulus = (Column Compressive Load*Column Maximum Bending)/Column Bending Stress to calculate the Section Modulus, The Section Modulus about Axis of Bending for Long Column formula is defined as a geometric property for a given cross-section used in the design of beams or flexural members. Section Modulus is denoted by S symbol.

How to calculate Section Modulus about Axis of Bending for Long Column using this online calculator? To use this online calculator 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. Here is how the Section Modulus about Axis of Bending for Long Column calculation can be explained with given input values -> 3.2E+14 = (400*0.004)/5000.

FAQ

What is Section Modulus about Axis of Bending for Long Column?

The Section Modulus about Axis of Bending for Long Column formula is defined as a geometric property for a given cross-section used in the design of beams or flexural members and is represented as S = (P_compressive*e)/σ_b or Section Modulus = (Column Compressive Load*Column Maximum Bending)/Column Bending Stress. Column Compressive load is the load applied to a column that is compressive in nature, Column Maximum Bending is the maximum value of bending caused at the center of column & Column Bending Stress is the normal stress that is induced at a point in a body subjected to loads that cause it to bend.

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

The Section Modulus about Axis of Bending for Long Column formula is defined as a geometric property for a given cross-section used in the design of beams or flexural members is calculated using Section Modulus = (Column Compressive Load*Column Maximum Bending)/Column Bending Stress. To calculate Section Modulus about Axis of Bending for Long Column, you need Column Compressive Load (P_compressive), Column Maximum Bending (e) & Column Bending Stress (σ_b). With our tool, you need to enter the respective value for Column Compressive Load, Column Maximum Bending & Column Bending 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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