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Maximum Stress for Circular Section Column under Compression Formula

GoMaximum Stress for Rectangular Cross-Section Column Formula

GoMaximum Stress for Circular Cross-Section Columns Formula

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Maximum Stress for Section is the highest stress allowed without any failure. Check FAQs

S M = (0.372 + 0.056 \cdot (\frac{k}{r}) \cdot (\frac{P}{k}) \cdot \sqrt{r \cdot k})

S_M - Maximum Stress for Section?k - Distance from Nearest Edge?r - Radius of Circular Cross-Section?P - Concentrated Load?

Maximum Stress for Circular Section Column under Compression Example

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Here is how the Maximum Stress for Circular Section Column under Compression equation looks like with Values.

Here is how the Maximum Stress for Circular Section Column under Compression equation looks like with Units.

Here is how the Maximum Stress for Circular Section Column under Compression equation looks like.

10.6599 = (0.372 + 0.056 \cdot (\frac{240}{160}) \cdot (\frac{150}{240}) \cdot \sqrt{160 \cdot 240})

10.6599Pa = (0.372 + 0.056 \cdot (\frac{240mm}{160mm}) \cdot (\frac{150N}{240mm}) \cdot \sqrt{160mm \cdot 240mm})

10.6599 = (0.372 + 0.056 \cdot (\frac{240}{160}) \cdot (\frac{150}{240}) \cdot \sqrt{160 \cdot 240})

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Maximum Stress for Circular Section Column under Compression Solution

Follow our step by step solution on how to calculate Maximum Stress for Circular Section Column under Compression?

FIRST Step Consider the formula

S M = (0.372 + 0.056 \cdot (\frac{k}{r}) \cdot (\frac{P}{k}) \cdot \sqrt{r \cdot k})

Next Step Substitute values of Variables

∴

S M = (0.372 + 0.056 \cdot (\frac{240mm}{160mm}) \cdot (\frac{150N}{240mm}) \cdot \sqrt{160mm \cdot 240mm})

Next Step Convert Units

∴

S M = (0.372 + 0.056 \cdot (\frac{0.24m}{0.16m}) \cdot (\frac{150N}{0.24m}) \cdot \sqrt{0.16m \cdot 0.24m})

Next Step Prepare to Evaluate

∴

S M = (0.372 + 0.056 \cdot (\frac{0.24}{0.16}) \cdot (\frac{150}{0.24}) \cdot \sqrt{0.16 \cdot 0.24})

Next Step Evaluate

∴

S M = 10.6598569196893Pa

LAST Step Rounding Answer

∴

S M = 10.6599Pa

Maximum Stress for Circular Section Column under Compression Formula Elements

Variables

Functions

Maximum Stress for Section

Maximum Stress for Section is the highest stress allowed without any failure.

Symbol: S_M

Measurement: StressUnit: Pa

Note: Value should be greater than 0.

Formulas to find Maximum Stress for 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.

Symbol: k

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Distance from Nearest Edge

Radius of Circular Cross-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.

Symbol: r

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Radius of Circular Cross-Section

Concentrated Load

A Concentrated Load is a load acting at a single point.

Symbol: P

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Concentrated Load

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.

Syntax: sqrt(Number)

Other Formulas to find Maximum Stress for Section

Go Maximum Stress for Rectangular Cross-Section Column

S M = S c \cdot (1 + 6 \cdot \frac{e}{b})

Go Maximum Stress for Circular Cross-Section Columns

S M = S c \cdot (1 + 8 \cdot \frac{e}{d})

Go Maximum Stress for Rectangular Section Column under Compression

S M = (\frac{2}{3}) \cdot \frac{P}{h \cdot k}

Other formulas in Eccentric Loads on Columns category

Go Radius of Kern for Circular Ring

r kern = \frac{D \cdot (1 + {(\frac{d i}{D})}^{2})}{8}

Go Radius of Kern for Hollow Square

r kern = 0.1179 \cdot H \cdot (1 + {(\frac{h i}{H})}^{2})

Go Thickness of Wall for Hollow Octagon

t = 0.9239 \cdot (R a - R i)

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

Maximum Stress for Circular Section Column under Compression evaluator 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 evaluate 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 evaluate Maximum Stress for Circular Section Column under Compression using this online evaluator? To use this online evaluator 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.

FAQs on Maximum Stress for Circular Section Column under Compression

What is the formula to find Maximum Stress for Circular Section Column under Compression?

The formula of Maximum Stress for Circular Section Column under Compression is expressed as 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)). Here is an example- 10.65986 = (0.372+0.056*(0.24/0.16)*(150/0.24)*sqrt(0.16*0.24)).

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

With Distance from Nearest Edge (k), Radius of Circular Cross-Section (r) & Concentrated Load (P) we can find Maximum Stress for Circular Section Column under Compression using the formula - 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)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Maximum Stress for Section?

Here are the different ways to Calculate Maximum Stress for Section-

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)

Can the Maximum Stress for Circular Section Column under Compression be negative?

No, the Maximum Stress for Circular Section Column under Compression, measured in Stress cannot be negative.

Which unit is used to measure Maximum Stress for Circular Section Column under Compression?

Maximum Stress for Circular Section Column under Compression is usually measured using the Pascal[Pa] for Stress. Newton per Square Meter[Pa], Newton per Square Millimeter[Pa], Kilonewton per Square Meter[Pa] are the few other units in which Maximum Stress for Circular Section Column under Compression can be measured.

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Maximum Stress for Circular Section Column under Compression Formula

​GoMaximum Stress for Rectangular Cross-Section Column Formula

​GoMaximum Stress for Circular Cross-Section Columns Formula

Maximum Stress for Circular Section Column under Compression Example

Maximum Stress for Circular Section Column under Compression Solution

Maximum Stress for Circular Section Column under Compression Formula Elements

Other Formulas to find Maximum Stress for Section

Other formulas in Eccentric Loads on Columns category

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

FAQs on Maximum Stress for Circular Section Column under Compression

Variable Name

GoMaximum Stress for Rectangular Cross-Section Column Formula

GoMaximum Stress for Circular Cross-Section Columns Formula