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 = (Pcompressive*e)/σb
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 = (Pcompressive*e)/σb --> (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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Failure of a Column Calculators

Area of Cross-Section given Compressive Stress Induced during Failure of Short Column
​ LaTeX ​ Go Column Cross Sectional Area = Column Compressive Load/Column Compressive Stress
Compressive Load given Compressive Stress Induced during Failure of Short Column
​ LaTeX ​ Go Column Compressive Load = Column Cross Sectional Area*Column Compressive Stress
Compressive Stress Induced during Failure of Short Column
​ LaTeX ​ Go Column Compressive Stress = Column Compressive Load/Column Cross Sectional Area
Crushing Stress for Short Column
​ LaTeX ​ Go Column Crushing Stress = Crushing load/Column Cross Sectional Area

Modes of Failure in Eccentric Compression Calculators

Area of Cross-Section given Compressive Stress Induced during Failure of Short Column
​ LaTeX ​ Go Column Cross Sectional Area = Column Compressive Load/Column Compressive Stress
Compressive Load given Compressive Stress Induced during Failure of Short Column
​ LaTeX ​ Go Column Compressive Load = Column Cross Sectional Area*Column Compressive Stress
Area of Cross-Section given Stress due to Direct Load for Long Column
​ LaTeX ​ Go Column Cross Sectional Area = Column Compressive Load/Direct Stress
Area of Cross Section of Column given Crushing Stress
​ LaTeX ​ Go Column Cross Sectional Area = Crushing load/Column Crushing Stress

Section Modulus about Axis of Bending for Long Column Formula

​LaTeX ​Go
Section Modulus = (Column Compressive Load*Column Maximum Bending)/Column Bending Stress
S = (Pcompressive*e)/σb

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, 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 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 (Pcompressive), Column Maximum Bending (e) & Column Bending Stress 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?
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 and is represented as S = (Pcompressive*e)/σb 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?
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 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 (Pcompressive), Column Maximum Bending (e) & Column Bending Stress 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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