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 Vessel Support
fw = ((Pw/NColumn)*(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 refers to the force or pressure exerted by wind on the surface of the vessel.
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 Vessel Support - (Measured in Cubic Meter) - Section Modulus of Vessel Support is a measure of its strength and ability to resist bending stress.
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 Vessel Support: 22000 Cubic Millimeter --> 2.2E-05 Cubic Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
fw = ((Pw/NColumn)*(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)
FINAL ANSWER
39.4909090909091 39.49091 Newton per Square Millimeter <-- Bending Stress in Column due to Wind Load
(Calculation completed in 00.020 seconds)

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14 Lug or Bracket Support 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 Vessel Support)))
Maximum Compressive Load acting on Bracket
Go Maximum Compressive Load on Remote Bracket = ((4*(Total Wind Force acting on Vessel))*(Height of Vessel above Foundation-Clearance between Vessel Bottom and Foundation))/(Number of Brackets*Diameter of Anchor Bolt Circle)+(Total Weight of Vessel/Number of Brackets)
Thickness of Horizontal Plate Fixed at Edges
Go Thickness of Horizontal Plate = ((0.7)*(Maximum Pressure on Horizontal Plate)*((Length of Horizontal Plate)^(2)/(Maximum Stress in Horizontal Plate fixed at Edges))*((Effective Width of Horizontal Plate)^(4)/((Length of Horizontal Plate)^(4)+(Effective Width of Horizontal Plate)^(4))))^(0.5)
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 Vessel Support)))
Minimum Thickness of Base Plate
Go Minimum Thickness of Base Plate = ((3*Pressure Intensity on Under Side of Base Plate/Permissible Bending Stress in Base Plate Material)*((Greater Projection of Plate beyond Column)^(2)-((Lesser Projection of Plate beyond Column)^(2)/4)))^(0.5)
Thickness of Gusset Plate
Go Thickness of Gusset Plate = (Bending Moment of Gusset Plate/((Maximum Compressive Stress*(Height of Gusset Plate^(2)))/6))*(1/cos(Gusset Plate Edge Angle))
Bending Stress in Column due to Wind Load
Go Bending Stress in Column due to Wind Load = ((Wind Load acting on Vessel/Number of Columns)*(Length of Columns/2))/Section Modulus of Vessel Support
Maximum Compressive Stress Parallel to Edge of Gusset Plate
Go Maximum Compressive Stress = (Bending Moment of Gusset Plate/Section Modulus of Vessel Support)*(1/cos(Gusset Plate Edge Angle))
Pressure Intensity on under side of Base Plate
Go Pressure Intensity on Under Side of Base Plate = Axial Compressive Load on Column/(Effective Width of Horizontal Plate*Length of Horizontal Plate)
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)
Axial Bending Stress in Vessel Wall for Unit Width
Go Axial Bending Stress induced in Vessel Wall = (6*Axial Bending Moment*Effective Width of Horizontal Plate)/Vessel Shell Thickness^(2)
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

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 Vessel Support
fw = ((Pw/NColumn)*(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 Vessel Support to calculate the Bending Stress in Column due to Wind Load, Bending Stress in Column due to Wind Load is 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 (NColumn), Length of Columns (L) & Section Modulus of Vessel Support (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 -> 3.9E-5 = ((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 Load is 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/NColumn)*(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 Vessel Support. Wind Load acting on Vessel refers to the force or pressure exerted by wind on the surface of the vessel, 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 Vessel Support is a measure of its strength and ability to resist bending stress.
How to calculate Bending Stress in Column due to Wind Load?
Bending Stress in Column due to Wind Load is 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 Vessel Support. To calculate Bending Stress in Column due to Wind Load, you need Wind Load acting on Vessel (Pw), Number of Columns (NColumn), Length of Columns (L) & Section Modulus of Vessel Support (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 Vessel Support 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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