## Bending Stress in Column due to Wind Load Solution

STEP 0: Pre-Calculation Summary
Formula Used
Bending Stress in Column due to Wind Load = ((Wind Load acting on Vessel/Number of Columns)*(Length of Columns/2))/Section Modulus of Column
fw = ((Pw/n)*(L/2))/Z
This formula uses 5 Variables
Variables Used
Bending Stress in Column due to Wind Load - (Measured in Pascal) - Bending Stress in Column due to Wind Loadn is the normal stress that is induced at a point in a body subjected to loads that cause it to bend.
Wind Load acting on Vessel - (Measured in Newton) - Wind Load acting on Vessel will depend on the size, shape, and orientation of the structure, as well as the wind speed and direction of the wind.
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.
Length of Columns - (Measured in Meter) - Length of Columns in a structure refers to the vertical distance between its top and bottom points of support, or its effective length.
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
Wind Load acting on Vessel: 3840 Newton --> 3840 Newton No Conversion Required
Number of Columns: 4 --> No Conversion Required
Length of Columns: 1810 Millimeter --> 1.81 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
fw = ((Pw/n)*(L/2))/Z --> ((3840/4)*(1.81/2))/2.2E-05
Evaluating ... ...
fw = 39490909.0909091
STEP 3: Convert Result to Output's Unit
39490909.0909091 Pascal -->39.4909090909091 Newton per Square Millimeter (Check conversion here)
39.4909090909091 Newton per Square Millimeter <-- Bending Stress in Column due to Wind Load
(Calculation completed in 00.000 seconds)
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## < 25 Vessel Supports Calculators

Maximum Combined Stress on Long Column
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
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
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
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
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
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
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
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
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
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
Maximum Pressure on Horizontal Plate = Maximum Compressive Load on Remote Bracket/(Effective Width of Horizontal Plate*Length of Horizontal Plate)
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
Stress due to Bending Moment = (4*Maximum Seismic Moment)/(pi*(Mean Diameter of Skirt^(2))*Skirt Thickness)
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
Compressive Stress due to Force = Total Weight of Vessel/(pi*Mean Diameter of Skirt*Skirt Thickness)
Maximum Seismic Moment
Maximum Seismic Moment = ((2/3)*Seismic Coefficient*Total Weight of Vessel*Total Height of Vessel)
Minimum Area by Base Plate
Minimum Area provided by Base Plate = Axial Compressive Load on Column/Permissible Bearing Strength of Concrete
Maximum Compressive Stress
Maximum Compressive Stress = Stress due to Bending Moment+Compressive Stress due to Force
Maximum Compressive Load on Remote Bracket = Total Weight of Vessel/Number of Brackets
Maximum Beading Moment in Bearing Plate Inside Chair
Maximum Bending Moment in Bearing Plate = (Load on Each Bolt*Spacing Inside Chairs)/8
Maximum Tensile Stress
Maximum Tensile Stress = Stress due to Bending Moment-Compressive Stress due to Force
Cross Sectional Area of Bolt
Cross Section Area of Bolt = Load on Each Bolt/Permissible Stress for Bolt Materials
Diameter of Bolt given Cross Sectional Area
Diameter of Bolt = (Cross Sectional Area of Bolt*(4/pi))^(0.5)
Number of Bolts
Number of Bolts = (pi*Mean Diameter of Skirt)/600
Minimum Wind Pressure at Vessel
Minimum Wind Pressure = 0.05*(Maximum Wind Velocity)^(2)

## Bending Stress in Column due to Wind Load Formula

Bending Stress in Column due to Wind Load = ((Wind Load acting on Vessel/Number of Columns)*(Length of Columns/2))/Section Modulus of Column
fw = ((Pw/n)*(L/2))/Z

## What is Design Stress?

Design stress, also known as allowable stress, is the maximum amount of stress that a structural element, such as a beam, column, or plate, is designed to withstand without experiencing failure or excessive deformation. The design stress is typically determined through engineering analysis and design, and takes into account factors such as the material properties, the loading conditions, and the safety factor that is applied to ensure a safe and reliable design.The design stress is usually expressed as a stress value, such as pounds per square inch (psi) or megapascals (MPa), and is determined based on the required strength and stiffness of the structural element, as well as any deflection or deformation limits that must be met to ensure the functionality and safety of the structure. For example, in the design of a steel beam for a building.

## How to Calculate Bending Stress in Column due to Wind Load?

Bending Stress in Column due to Wind Load calculator uses Bending Stress in Column due to Wind Load = ((Wind Load acting on Vessel/Number of Columns)*(Length of Columns/2))/Section Modulus of Column to calculate the Bending Stress in Column due to Wind Load, Bending Stress in Column due to Wind Loadis caused by the internal bending moment that is generated when an external force or load is applied to a structural element, such as a beam or a plate, causing it to bend or deform. Bending Stress in Column due to Wind Load is denoted by fw symbol.

How to calculate Bending Stress in Column due to Wind Load using this online calculator? To use this online calculator for Bending Stress in Column due to Wind Load, enter Wind Load acting on Vessel (Pw), Number of Columns (n), Length of Columns (L) & Section Modulus of Column (Z) and hit the calculate button. Here is how the Bending Stress in Column due to Wind Load calculation can be explained with given input values -> 39.49091 = ((3840/4)*(1.81/2))/2.2E-05.

### FAQ

What is Bending Stress in Column due to Wind Load?
Bending Stress in Column due to Wind Loadis caused by the internal bending moment that is generated when an external force or load is applied to a structural element, such as a beam or a plate, causing it to bend or deform and is represented as fw = ((Pw/n)*(L/2))/Z or Bending Stress in Column due to Wind Load = ((Wind Load acting on Vessel/Number of Columns)*(Length of Columns/2))/Section Modulus of Column. Wind Load acting on Vessel will depend on the size, shape, and orientation of the structure, as well as the wind speed and direction of the wind, 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, Length of Columns in a structure refers to the vertical distance between its top and bottom points of support, or its effective length & 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 Bending Stress in Column due to Wind Load?
Bending Stress in Column due to Wind Loadis caused by the internal bending moment that is generated when an external force or load is applied to a structural element, such as a beam or a plate, causing it to bend or deform is calculated using Bending Stress in Column due to Wind Load = ((Wind Load acting on Vessel/Number of Columns)*(Length of Columns/2))/Section Modulus of Column. To calculate Bending Stress in Column due to Wind Load, you need Wind Load acting on Vessel (Pw), Number of Columns (n), Length of Columns (L) & Section Modulus of Column (Z). With our tool, you need to enter the respective value for Wind Load acting on Vessel, Number of Columns, Length of Columns & 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.
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