Maximum Combined Stress on Long 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))*(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)))
f = ((PColumn/(NColumn*AColumn))*(1+(1/7500)*(le/rg)^(2))+((PColumn*e)/(NColumn*Z)))
This formula uses 8 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.
Column Effective Length - (Measured in Meter) - Column effective length is the length which resists against buckling.
Radius of Gyration of Column - (Measured in Meter) - 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.
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 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
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)
Column Effective Length: 57 Millimeter --> 0.057 Meter (Check conversion ​here)
Radius of Gyration of Column: 21.89 Millimeter --> 0.02189 Meter (Check conversion ​here)
Eccentricity for Vessel Support: 52 Millimeter --> 0.052 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
f = ((PColumn/(NColumn*AColumn))*(1+(1/7500)*(le/rg)^(2))+((PColumn*e)/(NColumn*Z))) --> ((5580/(4*0.000389))*(1+(1/7500)*(0.057/0.02189)^(2))+((5580*0.052)/(4*2.2E-05)))
Evaluating ... ...
f = 6886633.0428074
STEP 3: Convert Result to Output's Unit
6886633.0428074 Pascal -->6.8866330428074 Newton per Square Millimeter (Check conversion ​here)
FINAL ANSWER
6.8866330428074 6.886633 Newton per Square Millimeter <-- Maximum Combined Stress
(Calculation completed in 00.004 seconds)

Credits

Creator Image
Created by Heet
Thadomal Shahani Engineering College (Tsec), Mumbai
Heet has created this Calculator and 200+ more calculators!
Verifier Image
Verified by Prerana Bakli
University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA
Prerana Bakli has verified this Calculator and 1600+ more calculators!

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

Maximum Combined Stress on Long Column 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)))
f = ((PColumn/(NColumn*AColumn))*(1+(1/7500)*(le/rg)^(2))+((PColumn*e)/(NColumn*Z)))

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 Long Column?

Maximum Combined Stress on Long Column calculator 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 calculate 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 calculate Maximum Combined Stress on Long Column using this online calculator? To use this online calculator for Maximum Combined Stress on Long Column, enter Axial Compressive Load on Column (PColumn), Number of Columns (NColumn), Cross Sectional Area of Column (AColumn), Column Effective Length (le), Radius of Gyration of Column (rg), Eccentricity for Vessel Support (e) & Section Modulus of Vessel Support (Z) and hit the calculate button. Here is how the Maximum Combined Stress on Long Column calculation can be explained with given input values -> 6.9E-6 = ((5580/(4*0.000389))*(1+(1/7500)*(0.057/0.02189)^(2))+((5580*0.052)/(4*2.2E-05))).

FAQ

What is Maximum Combined Stress on Long Column?
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 and is represented as f = ((PColumn/(NColumn*AColumn))*(1+(1/7500)*(le/rg)^(2))+((PColumn*e)/(NColumn*Z))) or 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))). 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, Column effective length is the length which resists against buckling, 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, Eccentricity for Vessel Support is a non-negative real number that uniquely characterizes its shape & Section Modulus of Vessel Support is a measure of its strength and ability to resist bending stress.
How to calculate Maximum Combined Stress on Long Column?
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 is calculated using 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 calculate Maximum Combined Stress on Long Column, you need Axial Compressive Load on Column (PColumn), Number of Columns (NColumn), Cross Sectional Area of Column (AColumn), Column Effective Length (le), Radius of Gyration of Column (rg), Eccentricity for Vessel Support (e) & Section Modulus of Vessel Support (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, Column Effective Length, Radius of Gyration of Column, Eccentricity for Vessel Support & 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.
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, Column Effective Length, Radius of Gyration of Column, Eccentricity for Vessel Support & Section Modulus of Vessel Support. 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))+((Axial Compressive Load on Column*Eccentricity for Vessel Support)/(Number of Columns*Section Modulus of Vessel Support)))
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!