Maximum Stress for Circular Cross-Section Columns Calculator

✖The Unit Stress is due to loading P as if it acted through the center of gravity.ⓘ Unit Stress [S_c]			+10% -10%
✖The Eccentricity of Column is the distance between the middle of the column's cross-section and the eccentric load.ⓘ Eccentricity of Column [e]			+10% -10%
✖The Diameter 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.ⓘ Diameter of Circular Cross-Section [d]			+10% -10%

✖Maximum Stress for Section is the highest stress allowed without any failure.ⓘ Maximum Stress for Circular Cross-Section Columns [S_M]

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Maximum Stress for Circular Cross-Section Columns Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Stress for Section = Unit Stress*(1+8*Eccentricity of Column/Diameter of Circular Cross-Section)
S_M = S_c*(1+8*e/d)
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.
Unit Stress - (Measured in Pascal) - The Unit Stress is due to loading P as if it acted through the center of gravity.
Eccentricity of Column - (Measured in Meter) - The Eccentricity of Column is the distance between the middle of the column's cross-section and the eccentric load.
Diameter of Circular Cross-Section - (Measured in Meter) - The Diameter 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.

STEP 1: Convert Input(s) to Base Unit

Unit Stress: 25 Pascal --> 25 Pascal No Conversion Required
Eccentricity of Column: 35 Millimeter --> 0.035 Meter (Check conversion here)
Diameter of Circular Cross-Section: 320 Millimeter --> 0.32 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S_M = S_c*(1+8*e/d) --> 25*(1+8*0.035/0.32)

Evaluating ... ...

S_M = 46.875

STEP 3: Convert Result to Output's Unit

46.875 Pascal --> No Conversion Required

FINAL ANSWER

46.875 Pascal <-- Maximum Stress for Section

(Calculation completed in 00.004 seconds)

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< Eccentric Loads on Columns Calculators

Maximum Stress for Circular Section Column under Compression

LaTeX 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))

Maximum Stress for Rectangular Section Column under Compression

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

Maximum Stress for Circular Cross-Section Columns

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

Maximum Stress for Rectangular Cross-Section Column

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

Maximum Stress for Circular Cross-Section Columns Formula

LaTeX Go

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

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.

Are columns in tension or compression?

The load applied to a column would place the column in compression; conversely, a load hanging from a rod would place the rod in tension. Strain is the deformation of a structural member because of stress within the member.

How to Calculate Maximum Stress for Circular Cross-Section Columns?

Maximum Stress for Circular Cross-Section Columns calculator uses Maximum Stress for Section = Unit Stress*(1+8*Eccentricity of Column/Diameter of Circular Cross-Section) to calculate the Maximum Stress for Section, The Maximum Stress for Circular Cross-Section Columns formula is defined as the maximum stress that a circular cross-sectioned column can withstand without any deformation. Maximum Stress for Section is denoted by S_M symbol.

How to calculate Maximum Stress for Circular Cross-Section Columns using this online calculator? To use this online calculator for Maximum Stress for Circular Cross-Section Columns, enter Unit Stress (S_c), Eccentricity of Column (e) & Diameter of Circular Cross-Section (d) and hit the calculate button. Here is how the Maximum Stress for Circular Cross-Section Columns calculation can be explained with given input values -> 46.875 = 25*(1+8*0.035/0.32).

FAQ

What is Maximum Stress for Circular Cross-Section Columns?

The Maximum Stress for Circular Cross-Section Columns formula is defined as the maximum stress that a circular cross-sectioned column can withstand without any deformation and is represented as S_M = S_c*(1+8*e/d) or Maximum Stress for Section = Unit Stress*(1+8*Eccentricity of Column/Diameter of Circular Cross-Section). The Unit Stress is due to loading P as if it acted through the center of gravity, The Eccentricity of Column is the distance between the middle of the column's cross-section and the eccentric load & The Diameter 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.

How to calculate Maximum Stress for Circular Cross-Section Columns?

The Maximum Stress for Circular Cross-Section Columns formula is defined as the maximum stress that a circular cross-sectioned column can withstand without any deformation is calculated using Maximum Stress for Section = Unit Stress*(1+8*Eccentricity of Column/Diameter of Circular Cross-Section). To calculate Maximum Stress for Circular Cross-Section Columns, you need Unit Stress (S_c), Eccentricity of Column (e) & Diameter of Circular Cross-Section (d). With our tool, you need to enter the respective value for Unit Stress, Eccentricity of Column & Diameter of Circular Cross-Section 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 Unit Stress, Eccentricity of Column & Diameter of Circular Cross-Section. 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 = (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))
Maximum Stress for Section = (2/3)*Concentrated Load/(Height of Cross-Section*Distance from Nearest Edge)

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