Maximum Combined Stress on Short Column Calculator

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✖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.ⓘ Axial Compressive Load on Column [P]			+10% -10%
✖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.ⓘ Number of Columns [n]			+10% -10%
✖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.ⓘ Cross Sectional Area of Column [A_column]			+10% -10%
✖Eccentricity for Vessel Support is a non-negative real number that uniquely characterizes its shape.ⓘ Eccentricity for Vessel Support [e]			+10% -10%
✖Section Modulus of Column is a measure of its resistance to bending and is a key parameter in the design of structural columns.ⓘ Section Modulus of Column [Z]			+10% -10%

✖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.ⓘ Maximum Combined Stress on Short Column [f]

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Formula

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Maximum Combined Stress on Short Column

Formula

`"f" = (("P"/("n"*"A"_{"column"}))+(("P"*"e")/("n"*"Z")))`

Example

`"6.883391N/mm²"=(("5580N"/("4"*"389mm²"))+(("5580N"*"52mm")/("4"*"22000mm³")))`

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Maximum Combined Stress on Short Column Solution

STEP 0: Pre-Calculation Summary

Formula Used

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 Column)))
f = ((P/(n*A_column))+((P*e)/(n*Z)))
This formula uses 6 Variables

Variables Used

Maximum Combined Stress - (Measured in Pascal) - 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.
Axial Compressive Load on Column - (Measured in Newton) - 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.
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.
Cross Sectional Area of Column - (Measured in Square Meter) - 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.
Eccentricity for Vessel Support - (Measured in Meter) - Eccentricity for Vessel Support is a non-negative real number that uniquely characterizes its shape.
Section Modulus of Column - (Measured in Cubic Meter) - Section Modulus of Column is a measure of its resistance to bending and is a key parameter in the design of structural columns.

STEP 1: Convert Input(s) to Base Unit

Axial Compressive Load on Column: 5580 Newton --> 5580 Newton No Conversion Required
Number of Columns: 4 --> No Conversion Required
Cross Sectional Area of Column: 389 Square Millimeter --> 0.000389 Square Meter (Check conversion here)
Eccentricity for Vessel Support: 52 Millimeter --> 0.052 Meter (Check conversion here)
Section Modulus of Column: 22000 Cubic Millimeter --> 2.2E-05 Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f = ((P/(n*A_column))+((P*e)/(n*Z))) --> ((5580/(4*0.000389))+((5580*0.052)/(4*2.2E-05)))

Evaluating ... ...

f = 6883390.97920075

STEP 3: Convert Result to Output's Unit

6883390.97920075 Pascal -->6.88339097920075 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

6.88339097920075 Newton per Square Millimeter <-- Maximum Combined Stress

(Calculation completed in 00.000 seconds)

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< 25 Vessel Supports Calculators

Maximum Combined Stress on Long Column

Go 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 Column)))

Maximum Stress in Horizontal Plate fixed at Edges

Go Maximum Stress in Horizontal Plate fixed at Edges = 0.7*Maximum Pressure on Horizontal Plate*((Length of Horizontal Plate)^(2)/(Thickness of Horizontal Plate)^(2))*((Effective Width of Horizontal Plate)^(4)/((Length of Horizontal Plate)^(4)+(Effective Width of Horizontal Plate))^(4))

Maximum Combined Stress on Short Column

Go 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 Column)))

Wind Load acting on Lower Part of Vessel

Go Wind Load acting on Lower Part of Vessel = Coefficient depending on Shape Factor*Coefficient Period of One Cycle of Vibration*Wind Pressure acting on Lower Part of Vessel*Height of Lower Part of Vessel*Outside Diameter of Vessel

Wind Load acting on Upper Part of Vessel

Go Wind Load acting on Upper Part of Vessel = Coefficient depending on Shape Factor*Coefficient Period of One Cycle of Vibration*Wind Pressure acting on Upper Part of Vessel*Height of Upper Part of Vessel*Outside Diameter of Vessel

Thickness of Bearing Plate inside Chair

Go Thickness of Bearing Plate inside Chair = ((6*Maximum Bending Moment in Bearing Plate)/((Width of Bearing Plate-Diameter of Bolt Hole in Bearing Plate)*Allowable Stress in Bolt Material))^(0.5)

Minimum Stress between Bearing Plate and Concrete Foundation

Go Stress in Bearing Plate and Concrete Foundation = (Maximum Weight of Empty Vessel/Area between Bearing Plate & Concrete Foundation)-(Maximum Seismic Moment/Section Modulus of Area A)

Compressive Stress between Bearing Plate and Concrete Foundation

Go Maximum Compressive Stress = (Total Weight of Vessel/Area between Bearing Plate & Concrete Foundation)+(Maximum Seismic Moment/Section Modulus of Area A)

Maximum Compressive Stress Parallel to Edge of Gusset Plate

Go Maximum Compressive Stress Plate = (Bending Moment of Gusset Plate/Section Modulus of Gusset Plate)*(1/cos(Gusset Plate Edge Angle))

Thickness of Base Bearing Plate

Go Thickness of Base Bearing Plate = Difference Outer Radius of Bearing Plate and Skirt*((3*Maximum Compressive Stress)/(Allowable Bending Stress))^(0.5)

Maximum Pressure on Horizontal Plate

Go Maximum Pressure on Horizontal Plate = Maximum Compressive Load on Remote Bracket/(Effective Width of Horizontal Plate*Length of Horizontal Plate)

Maximum Compressive Load

Go Maximum Compressive Load on Remote Bracket = Maximum Pressure on Horizontal Plate*(Length of Horizontal Plate*Effective Width of Horizontal Plate)

Stress due to Seismic Bending Moment

Go Stress due to Bending Moment = (4*Maximum Seismic Moment)/(pi*(Mean Diameter of Skirt^(2))*Skirt Thickness)

Load on Each Bolt

Go Load on Each Bolt = Stress in Bearing Plate and Concrete Foundation*(Area of Contact in Bearing Plate and Foundation/Number of Bolts)

Compressive Stress due to Vertical Downward Force

Go Compressive Stress due to Force = Total Weight of Vessel/(pi*Mean Diameter of Skirt*Skirt Thickness)

Maximum Seismic Moment

Go Maximum Seismic Moment = ((2/3)*Seismic Coefficient*Total Weight of Vessel*Total Height of Vessel)

Minimum Area by Base Plate

Go Minimum Area provided by Base Plate = Axial Compressive Load on Column/Permissible Bearing Strength of Concrete

Maximum Compressive Stress

Go Maximum Compressive Stress = Stress due to Bending Moment+Compressive Stress due to Force

Maximum Compressive Load on Remote Bracket due to Dead Load

Go Maximum Compressive Load on Remote Bracket = Total Weight of Vessel/Number of Brackets

Maximum Beading Moment in Bearing Plate Inside Chair

Go Maximum Bending Moment in Bearing Plate = (Load on Each Bolt*Spacing Inside Chairs)/8

Maximum Tensile Stress

Go Maximum Tensile Stress = Stress due to Bending Moment-Compressive Stress due to Force

Cross Sectional Area of Bolt

Go Cross Section Area of Bolt = Load on Each Bolt/Permissible Stress for Bolt Materials

Diameter of Bolt given Cross Sectional Area

Go Diameter of Bolt = (Cross Sectional Area of Bolt*(4/pi))^(0.5)

Number of Bolts

Go Number of Bolts = (pi*Mean Diameter of Skirt)/600

Minimum Wind Pressure at Vessel

Go Minimum Wind Pressure = 0.05*(Maximum Wind Velocity)^(2)

Maximum Combined Stress on Short Column Formula

What is Design Stress?

Design stress is a term used in engineering and structural design to describe the maximum allowable stress that a material or structure can sustain under specific loading conditions, while still maintaining an acceptable level of safety and reliability. The design stress is typically calculated using various factors such as safety factors, load factors, and material properties. The design stress is typically compared to the material's yield strength, which is the stress at which permanent deformation or yielding occurs, to ensure that the material or structure does not fail due to excessive stress. The design stress is also compared to various codes and standards, such as building codes or industry-specific standards, to ensure that the design meets regulatory and safety requirements.

How to Calculate Maximum Combined Stress on Short Column?

Maximum Combined Stress on Short Column calculator uses 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 Column))) to calculate the Maximum Combined Stress, The Maximum Combined Stress on Short Column formula is defined as the highest stress that occurs at any point in the Short Column, taking into account the effects of all types of loading. Maximum Combined Stress is denoted by f symbol.

How to calculate Maximum Combined Stress on Short Column using this online calculator? To use this online calculator for Maximum Combined Stress on Short Column, enter Axial Compressive Load on Column (P), Number of Columns (n), Cross Sectional Area of Column (A_column), Eccentricity for Vessel Support (e) & Section Modulus of Column (Z) and hit the calculate button. Here is how the Maximum Combined Stress on Short Column calculation can be explained with given input values -> 6.883391 = ((5580/(4*0.000389))+((5580*0.052)/(4*2.2E-05))).

FAQ

What is Maximum Combined Stress on Short Column?

The Maximum Combined Stress on Short Column formula is defined as the highest stress that occurs at any point in the Short Column, taking into account the effects of all types of loading and is represented as f = ((P/(n*A_column))+((P*e)/(n*Z))) or 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 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, 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, 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, Eccentricity for Vessel Support is a non-negative real number that uniquely characterizes its shape & Section Modulus of Column is a measure of its resistance to bending and is a key parameter in the design of structural columns.

How to calculate Maximum Combined Stress on Short Column?

The Maximum Combined Stress on Short Column formula is defined as the highest stress that occurs at any point in the Short Column, taking into account the effects of all types of loading is calculated using 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 Column))). To calculate Maximum Combined Stress on Short Column, you need Axial Compressive Load on Column (P), Number of Columns (n), Cross Sectional Area of Column (A_column), Eccentricity for Vessel Support (e) & Section Modulus of Column (Z). With our tool, you need to enter the respective value for Axial Compressive Load on Column, Number of Columns, Cross Sectional Area of Column, Eccentricity for Vessel Support & Section Modulus of Column 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 Combined Stress?

In this formula, Maximum Combined Stress uses Axial Compressive Load on Column, Number of Columns, Cross Sectional Area of Column, Eccentricity for Vessel Support & Section Modulus of Column. We can use 1 other way(s) to calculate the same, which is/are as follows -

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 Column)))

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