Maximum Stress for Rectangular Section Column under Compression Calculator

✖A Concentrated Load is a load acting at a single point.ⓘ Concentrated Load [P]			+10% -10%
✖Height of Cross-Section is the vertical distance between bottom and top side of 2D section.ⓘ Height of Cross-Section [h]			+10% -10%
✖The Distance from Nearest Edge is the distance between the closest edge of sections and a point load acting on same section.ⓘ Distance from Nearest Edge [k]			+10% -10%

✖Maximum Stress for Section is the highest stress allowed without any failure.ⓘ Maximum Stress for Rectangular Section Column under Compression [S_M]

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Maximum Stress for Rectangular Section Column under Compression

Formula

`"S"_{"M"} = (2/3)*"P"/("h"*"k")`

Example

`"46.2963Pa"=(2/3)*"150N"/("9000mm"*"240mm")`

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Maximum Stress for Rectangular Section Column under Compression Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Stress for Section = (2/3)*Concentrated Load/(Height of Cross-Section*Distance from Nearest Edge)
S_M = (2/3)*P/(h*k)
This formula uses 4 Variables

Variables Used

Maximum Stress for Section - (Measured in Pascal) - Maximum Stress for Section is the highest stress allowed without any failure.
Concentrated Load - (Measured in Newton) - A Concentrated Load is a load acting at a single point.
Height of Cross-Section - (Measured in Meter) - Height of Cross-Section is the vertical distance between bottom and top side of 2D section.
Distance from Nearest Edge - (Measured in Meter) - The Distance from Nearest Edge is the distance between the closest edge of sections and a point load acting on same section.

STEP 1: Convert Input(s) to Base Unit

Concentrated Load: 150 Newton --> 150 Newton No Conversion Required
Height of Cross-Section: 9000 Millimeter --> 9 Meter (Check conversion here)
Distance from Nearest Edge: 240 Millimeter --> 0.24 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S_M = (2/3)*P/(h*k) --> (2/3)*150/(9*0.24)

Evaluating ... ...

S_M = 46.2962962962963

STEP 3: Convert Result to Output's Unit

46.2962962962963 Pascal --> No Conversion Required

FINAL ANSWER

46.2962962962963 ≈ 46.2963 Pascal <-- Maximum Stress for Section

(Calculation completed in 00.004 seconds)

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Cummins College of Engineering for Women (CCEW), Pune

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< 7 Eccentric Loads on Columns Calculators

Maximum Stress for Circular Section Column under Compression

Go Maximum Stress for Section = (0.372+0.056*(Distance from Nearest Edge/Radius of Circular Cross-Section)*(Concentrated Load/Distance from Nearest Edge)*sqrt(Radius of Circular Cross-Section*Distance from Nearest Edge))

Radius of Kern for Circular Ring

Go Radius of Kern = (Outer Diameter of Hollow Circular Section*(1+(Inner Diameter of Hollow Circular Section/Outer Diameter of Hollow Circular Section)^2))/8

Maximum Stress for Rectangular Section Column under Compression

Go Maximum Stress for Section = (2/3)*Concentrated Load/(Height of Cross-Section*Distance from Nearest Edge)

Maximum Stress for Circular Cross-Section Columns

Go Maximum Stress for Section = Unit Stress*(1+8*Eccentricity of Column/Diameter of Circular Cross-Section)

Maximum Stress for Rectangular Cross-Section Column

Go Maximum Stress for Section = Unit Stress*(1+6*Eccentricity of Column/Rectangular Cross-Section Width)

Radius of Kern for Hollow Square

Go Radius of Kern = 0.1179*Length of Outer Side*(1+(Length of Inner Side/Length of Outer Side)^2)

Thickness of Wall for Hollow Octagon

Go Thickness of Wall = 0.9239*(Radii of Circle Circumscribing Outer Side-Radii of Circle Circumscribing Inner Side)

Maximum Stress for Rectangular Section Column under Compression Formula

Maximum Stress for Section = (2/3)*Concentrated Load/(Height of Cross-Section*Distance from Nearest Edge)
S_M = (2/3)*P/(h*k)

What is Eccentric Loading on Columns?

When short blocks are loaded eccentrically in compression or in tension, that is, not through the centre of gravity (cg), a combination of axial and bending stress results. The maximum unit stress (Sm) is the algebraic sum of these two unit stresses.

Define Compressive Stress

Compressive stress is a force that causes a material to deform to occupy a smaller volume. When a material is experiencing a compressive stress, it is said to be under compression.

How to Calculate Maximum Stress for Rectangular Section Column under Compression?

Maximum Stress for Rectangular Section Column under Compression calculator uses Maximum Stress for Section = (2/3)*Concentrated Load/(Height of Cross-Section*Distance from Nearest Edge) to calculate the Maximum Stress for Section, The Maximum Stress for Rectangular Section Column under Compression formula is defined as the dimension of the Rectangular section under compressive loading. Maximum Stress for Section is denoted by S_M symbol.

How to calculate Maximum Stress for Rectangular Section Column under Compression using this online calculator? To use this online calculator for Maximum Stress for Rectangular Section Column under Compression, enter Concentrated Load (P), Height of Cross-Section (h) & Distance from Nearest Edge (k) and hit the calculate button. Here is how the Maximum Stress for Rectangular Section Column under Compression calculation can be explained with given input values -> 46.2963 = (2/3)*150/(9*0.24).

FAQ

What is Maximum Stress for Rectangular Section Column under Compression?

The Maximum Stress for Rectangular Section Column under Compression formula is defined as the dimension of the Rectangular section under compressive loading and is represented as S_M = (2/3)*P/(h*k) or Maximum Stress for Section = (2/3)*Concentrated Load/(Height of Cross-Section*Distance from Nearest Edge). A Concentrated Load is a load acting at a single point, Height of Cross-Section is the vertical distance between bottom and top side of 2D section & The Distance from Nearest Edge is the distance between the closest edge of sections and a point load acting on same section.

How to calculate Maximum Stress for Rectangular Section Column under Compression?

The Maximum Stress for Rectangular Section Column under Compression formula is defined as the dimension of the Rectangular section under compressive loading is calculated using Maximum Stress for Section = (2/3)*Concentrated Load/(Height of Cross-Section*Distance from Nearest Edge). To calculate Maximum Stress for Rectangular Section Column under Compression, you need Concentrated Load (P), Height of Cross-Section (h) & Distance from Nearest Edge (k). With our tool, you need to enter the respective value for Concentrated Load, Height of Cross-Section & Distance from Nearest Edge and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Maximum Stress for Section?

In this formula, Maximum Stress for Section uses Concentrated Load, Height of Cross-Section & Distance from Nearest Edge. We can use 3 other way(s) to calculate the same, which is/are as follows -

Maximum Stress for Section = Unit Stress*(1+6*Eccentricity of Column/Rectangular Cross-Section Width)
Maximum Stress for Section = Unit Stress*(1+8*Eccentricity of Column/Diameter of Circular Cross-Section)
Maximum Stress for Section = (0.372+0.056*(Distance from Nearest Edge/Radius of Circular Cross-Section)*(Concentrated Load/Distance from Nearest Edge)*sqrt(Radius of Circular Cross-Section*Distance from Nearest Edge))

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