Maximum Stress for Circular Section Column under Compression Calculator

✖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%
✖The Radius of Circular Cross-Section is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.ⓘ Radius of Circular Cross-Section [r]			+10% -10%
✖A Concentrated Load is a load acting at a single point.ⓘ Concentrated Load [P]			+10% -10%

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

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Formula

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Maximum Stress for Circular Section Column under Compression

Formula

`"S"_{"M"} = (0.372+0.056*("k"/"r")*("P"/"k")*sqrt("r"*"k"))`

Example

`"10.65986Pa"=(0.372+0.056*("240mm"/"160mm")*("150N"/"240mm")*sqrt("160mm"*"240mm"))`

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Maximum Stress for Circular Section Column under Compression Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
S_M = (0.372+0.056*(k/r)*(P/k)*sqrt(r*k))
This formula uses 1 Functions, 4 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Maximum Stress for Section - (Measured in Pascal) - Maximum Stress for Section is the highest stress allowed without any failure.
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.
Radius of Circular Cross-Section - (Measured in Meter) - The Radius of Circular Cross-Section is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.
Concentrated Load - (Measured in Newton) - A Concentrated Load is a load acting at a single point.

STEP 1: Convert Input(s) to Base Unit

Distance from Nearest Edge: 240 Millimeter --> 0.24 Meter (Check conversion here)
Radius of Circular Cross-Section: 160 Millimeter --> 0.16 Meter (Check conversion here)
Concentrated Load: 150 Newton --> 150 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S_M = (0.372+0.056*(k/r)*(P/k)*sqrt(r*k)) --> (0.372+0.056*(0.24/0.16)*(150/0.24)*sqrt(0.16*0.24))

Evaluating ... ...

S_M = 10.6598569196893

STEP 3: Convert Result to Output's Unit

10.6598569196893 Pascal --> No Conversion Required

FINAL ANSWER

10.6598569196893 ≈ 10.65986 Pascal <-- Maximum Stress for Section

(Calculation completed in 00.005 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 Circular Section Column under Compression Formula

Definition of 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 compressive stress, it is said to be under compression.

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

Maximum Stress for Circular Section Column under Compression calculator uses 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)) to calculate the Maximum Stress for Section, The Maximum Stress for Circular Section Column under Compression formula is defined as the dimension of the Circular section under compressive loading. Maximum Stress for Section is denoted by S_M symbol.

How to calculate Maximum Stress for Circular Section Column under Compression using this online calculator? To use this online calculator for Maximum Stress for Circular Section Column under Compression, enter Distance from Nearest Edge (k), Radius of Circular Cross-Section (r) & Concentrated Load (P) and hit the calculate button. Here is how the Maximum Stress for Circular Section Column under Compression calculation can be explained with given input values -> 10.65986 = (0.372+0.056*(0.24/0.16)*(150/0.24)*sqrt(0.16*0.24)).

FAQ

What is Maximum Stress for Circular Section Column under Compression?

The Maximum Stress for Circular Section Column under Compression formula is defined as the dimension of the Circular section under compressive loading and is represented as S_M = (0.372+0.056*(k/r)*(P/k)*sqrt(r*k)) or 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)). The Distance from Nearest Edge is the distance between the closest edge of sections and a point load acting on same section, The Radius of Circular Cross-Section is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere & A Concentrated Load is a load acting at a single point.

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

The Maximum Stress for Circular Section Column under Compression formula is defined as the dimension of the Circular section under compressive loading is calculated using 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)). To calculate Maximum Stress for Circular Section Column under Compression, you need Distance from Nearest Edge (k), Radius of Circular Cross-Section (r) & Concentrated Load (P). With our tool, you need to enter the respective value for Distance from Nearest Edge, Radius of Circular Cross-Section & Concentrated Load 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 Distance from Nearest Edge, Radius of Circular Cross-Section & Concentrated Load. 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 = (2/3)*Concentrated Load/(Height of Cross-Section*Distance from Nearest Edge)

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