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Maximum Combined Stress on Long Column Formula

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Maximum Combined Stress is the highest stress that occurs at any point in the material or structure, taking into account the effects of all types of loading. Check FAQs

f = ((\frac{P Column}{N Column \cdot A Column}) \cdot (1 + (\frac{1}{7500}) \cdot {(\frac{l e}{r g})}^{2}) + (\frac{P Column \cdot e}{N Column \cdot Z}))

f - Maximum Combined Stress?P_Column - Axial Compressive Load on Column?N_Column - Number of Columns?A_Column - Cross Sectional Area of Column?l_e - Column Effective Length?r_g - Radius of Gyration of Column?e - Eccentricity for Vessel Support?Z - Section Modulus of Vessel Support?

Maximum Combined Stress on Long Column Example

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Here is how the Maximum Combined Stress on Long Column equation looks like with Values.

Here is how the Maximum Combined Stress on Long Column equation looks like with Units.

Here is how the Maximum Combined Stress on Long Column equation looks like.

6.8866 = ((\frac{5580}{4 \cdot 389}) \cdot (1 + (\frac{1}{7500}) \cdot {(\frac{57}{21.89})}^{2}) + (\frac{5580 \cdot 52}{4 \cdot 22000}))

6.8866N/mm² = ((\frac{5580N}{4 \cdot 389mm²}) \cdot (1 + (\frac{1}{7500}) \cdot {(\frac{57mm}{21.89mm})}^{2}) + (\frac{5580N \cdot 52mm}{4 \cdot 22000mm³}))

6.8866 = ((\frac{5580}{4 \cdot 389}) \cdot (1 + (\frac{1}{7500}) \cdot {(\frac{57}{21.89})}^{2}) + (\frac{5580 \cdot 52}{4 \cdot 22000}))

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Maximum Combined Stress on Long Column Solution

Follow our step by step solution on how to calculate Maximum Combined Stress on Long Column?

FIRST Step Consider the formula

f = ((\frac{P Column}{N Column \cdot A Column}) \cdot (1 + (\frac{1}{7500}) \cdot {(\frac{l e}{r g})}^{2}) + (\frac{P Column \cdot e}{N Column \cdot Z}))

Next Step Substitute values of Variables

∴

f = ((\frac{5580N}{4 \cdot 389mm²}) \cdot (1 + (\frac{1}{7500}) \cdot {(\frac{57mm}{21.89mm})}^{2}) + (\frac{5580N \cdot 52mm}{4 \cdot 22000mm³}))

Next Step Convert Units

∴

f = ((\frac{5580N}{4 \cdot 0.0004m²}) \cdot (1 + (\frac{1}{7500}) \cdot {(\frac{0.057m}{0.0219m})}^{2}) + (\frac{5580N \cdot 0.052m}{4 \cdot 2.2E-5m³}))

Next Step Prepare to Evaluate

∴

f = ((\frac{5580}{4 \cdot 0.0004}) \cdot (1 + (\frac{1}{7500}) \cdot {(\frac{0.057}{0.0219})}^{2}) + (\frac{5580 \cdot 0.052}{4 \cdot 2.2E-5}))

Next Step Evaluate

∴

f = 6886633.0428074Pa

Next Step Convert to Output's Unit

∴

f = 6.8866330428074N/mm²

LAST Step Rounding Answer

∴

f = 6.8866N/mm²

Maximum Combined Stress on Long Column Formula Elements

Variables

Maximum Combined Stress

Maximum Combined Stress is the highest stress that occurs at any point in the material or structure, taking into account the effects of all types of loading.

Symbol: f

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Maximum Combined Stress

Axial Compressive Load on Column

Axial Compressive Load on Column is a type of force that is applied along the axis, or central line, of a structural element such as a column.

Symbol: P_Column

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Axial Compressive Load on Column

Number of Columns

Number of Columns in a structure refers to the total number of vertical load-bearing members that support the weight of the structure and transfer it to the foundation.

Symbol: N_Column

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Columns

Cross Sectional Area of Column

Cross sectional area of column is the area of the two-dimensional space that is obtained when the column is cut or sliced perpendicular to its longitudinal axis.

Symbol: A_Column

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Cross Sectional Area of Column

Column Effective Length

Column effective length is the length which resists against buckling.

Symbol: l_e

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Column Effective Length

Radius of Gyration of Column

Radius of Gyration of Column is defined as the radial distance to a point that would have a moment of inertia the same as the body's actual distribution of mass.

Symbol: r_g

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Radius of Gyration of Column

Eccentricity for Vessel Support

Eccentricity for Vessel Support is a non-negative real number that uniquely characterizes its shape.

Symbol: e

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Eccentricity for Vessel Support

Section Modulus of Vessel Support

Section Modulus of Vessel Support is a measure of its strength and ability to resist bending stress.

Symbol: Z

Measurement: VolumeUnit: mm³

Note: Value should be greater than 0.

Formulas to find Section Modulus of Vessel Support

Other Formulas to find Maximum Combined Stress

Go Maximum Combined Stress on Short Column

f = ((\frac{P Column}{N Column \cdot A Column}) + (\frac{P Column \cdot e}{N Column \cdot Z}))

Other formulas in Lug or Bracket Support category

Go Maximum Compressive Load acting on Bracket

P Load = \frac{(4 \cdot (Wind Force)) \cdot (Height - c)}{N \cdot D bc} + (\frac{ΣW}{N})

Go Thickness of Horizontal Plate Fixed at Edges

T h = {((0.7) \cdot (f horizontal) \cdot (\frac{{(L Horizontal)}^{2}}{f Edges}) \cdot (\frac{{(a)}^{4}}{{(L Horizontal)}^{4} + {(a)}^{4}}))}^{0.5}

How to Evaluate Maximum Combined Stress on Long Column?

Maximum Combined Stress on Long Column evaluator uses Maximum Combined Stress = ((Axial Compressive Load on Column/(Number of Columns*Cross Sectional Area of Column))*(1+(1/7500)*(Column Effective Length/Radius of Gyration of Column)^(2))+((Axial Compressive Load on Column*Eccentricity for Vessel Support)/(Number of Columns*Section Modulus of Vessel Support))) to evaluate the Maximum Combined Stress, The Maximum Combined Stress on Long Column formula is defined as the highest stress that occurs at any point in the Long Column, taking into account the effects of all types of loading. Maximum Combined Stress is denoted by f symbol.

How to evaluate Maximum Combined Stress on Long Column using this online evaluator? To use this online evaluator for Maximum Combined Stress on Long Column, enter Axial Compressive Load on Column (P_Column), Number of Columns (N_Column), Cross Sectional Area of Column (A_Column), Column Effective Length (l_e), Radius of Gyration of Column (r_g), Eccentricity for Vessel Support (e) & Section Modulus of Vessel Support (Z) and hit the calculate button.

FAQs on Maximum Combined Stress on Long Column

What is the formula to find Maximum Combined Stress on Long Column?

The formula of Maximum Combined Stress on Long Column is expressed as Maximum Combined Stress = ((Axial Compressive Load on Column/(Number of Columns*Cross Sectional Area of Column))*(1+(1/7500)*(Column Effective Length/Radius of Gyration of Column)^(2))+((Axial Compressive Load on Column*Eccentricity for Vessel Support)/(Number of Columns*Section Modulus of Vessel Support))). Here is an example- 6.9E-6 = ((5580/(4*0.000389))*(1+(1/7500)*(0.057/0.02189)^(2))+((5580*0.052)/(4*2.2E-05))).

How to calculate Maximum Combined Stress on Long Column?

With Axial Compressive Load on Column (P_Column), Number of Columns (N_Column), Cross Sectional Area of Column (A_Column), Column Effective Length (l_e), Radius of Gyration of Column (r_g), Eccentricity for Vessel Support (e) & Section Modulus of Vessel Support (Z) we can find Maximum Combined Stress on Long Column using the formula - Maximum Combined Stress = ((Axial Compressive Load on Column/(Number of Columns*Cross Sectional Area of Column))*(1+(1/7500)*(Column Effective Length/Radius of Gyration of Column)^(2))+((Axial Compressive Load on Column*Eccentricity for Vessel Support)/(Number of Columns*Section Modulus of Vessel Support))).

What are the other ways to Calculate Maximum Combined Stress?

Here are the different ways to Calculate Maximum Combined Stress-

Maximum Combined Stress=((Axial Compressive Load on Column/(Number of Columns*Cross Sectional Area of Column))+((Axial Compressive Load on Column*Eccentricity for Vessel Support)/(Number of Columns*Section Modulus of Vessel Support)))

Can the Maximum Combined Stress on Long Column be negative?

No, the Maximum Combined Stress on Long Column, measured in Stress cannot be negative.

Which unit is used to measure Maximum Combined Stress on Long Column?

Maximum Combined Stress on Long Column is usually measured using the Newton per Square Millimeter[N/mm²] for Stress. Pascal[N/mm²], Newton per Square Meter[N/mm²], Kilonewton per Square Meter[N/mm²] are the few other units in which Maximum Combined Stress on Long Column can be measured.

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Maximum Combined Stress on Long Column Formula

​GoMaximum Combined Stress on Short Column Formula

Maximum Combined Stress on Long Column Example

Maximum Combined Stress on Long Column Solution

Maximum Combined Stress on Long Column Formula Elements

Other Formulas to find Maximum Combined Stress

Other formulas in Lug or Bracket Support category

How to Evaluate Maximum Combined Stress on Long Column?

FAQs on Maximum Combined Stress on Long Column

Variable Name

GoMaximum Combined Stress on Short Column Formula