Width of Column using Bending Stress and Eccentric load Solution

STEP 0: Pre-Calculation Summary
Formula Used
Width of column = sqrt((6*Eccentric load on column*Eccentricity of Loading)/(Depth of Column*Bending Stress in Column))
b = sqrt((6*P*eload)/(h*ฯƒb))
This formula uses 1 Functions, 5 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Width of column - (Measured in Meter) - Width of column is describing how wide the column is.
Eccentric load on column - (Measured in Newton) - Eccentric load on column is the load that causes direct stress as well as bending stress.
Eccentricity of Loading - (Measured in Meter) - Eccentricity of Loading is the distance between the actual line of action of loads and the line of action that would produce a uniform stress over the cross section of the specimen.
Depth of Column - (Measured in Meter) - Depth of Column is the distance from the top or surface to the bottom of something.
Bending Stress in Column - (Measured in Pascal) - Bending Stress in Column is the normal stress that is induced at a point in a body subjected to loads that cause it to bend.
STEP 1: Convert Input(s) to Base Unit
Eccentric load on column: 7 Kilonewton --> 7000 Newton (Check conversion here)
Eccentricity of Loading: 25 Millimeter --> 0.025 Meter (Check conversion here)
Depth of Column: 3000 Millimeter --> 3 Meter (Check conversion here)
Bending Stress in Column: 0.04 Megapascal --> 40000 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
b = sqrt((6*P*eload)/(h*ฯƒb)) --> sqrt((6*7000*0.025)/(3*40000))
Evaluating ... ...
b = 0.0935414346693485
STEP 3: Convert Result to Output's Unit
0.0935414346693485 Meter -->93.5414346693485 Millimeter (Check conversion here)
FINAL ANSWER
93.5414346693485 โ‰ˆ 93.54143 Millimeter <-- Width of column
(Calculation completed in 00.004 seconds)

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22 Rectangular Section Is Subjected To Eccentric Load Calculators

Maximum stress when subjected to eccentric axial load
Go Maximum Stress on Column Section = (Eccentric load on column/Column Cross Sectional Area)+((Eccentric load on column*Eccentricity of Loading*Distance of Outer Fibre from Neutral Axis)/Moment of Inertia about y-y axis)
Width of Column using Bending Stress and Eccentric load
Go Width of column = sqrt((6*Eccentric load on column*Eccentricity of Loading)/(Depth of Column*Bending Stress in Column))
Maximum Stress given Eccentric Load and Eccentricity
Go Maximum Stress on Column Section = (Eccentric load on column*(1+(6*Eccentricity of Loading/Width of column)))/(Column Cross Sectional Area)
Eccentric Load using Maximum Stress
Go Eccentric load on column = (Maximum Stress on Column Section*Column Cross Sectional Area)/(1+(6*Eccentricity of Loading/Width of column))
Eccentricity using Maximum Stress
Go Eccentricity of Loading = ((Maximum Stress on Column Section*Column Cross Sectional Area/Eccentric load on column)-1)*(Width of column/6)
Minimum Stress using Eccentric Load and Eccentricity
Go Minimum Stress Value = (Eccentric load on column*(1-(6*Eccentricity of Loading/Width of column)))/(Column Cross Sectional Area)
Eccentric Load using Minimum Stress
Go Eccentric load on column = (Minimum Stress Value*Column Cross Sectional Area)/(1-(6*Eccentricity of Loading/Width of column))
Eccentricity using Minimum Stress
Go Eccentricity of Loading = (1-(Minimum Stress Value*Column Cross Sectional Area/Eccentric load on column))*(Width of column/6)
Eccentric Load using Bending Stress
Go Eccentric load on column = (Bending Stress in Column*(Depth of Column*(Width of column^2)))/(6*Eccentricity of Loading)
Eccentricity using Bending Stress
Go Eccentricity of Loading = (Bending Stress in Column*(Depth of Column*(Width of column^2)))/(6*Eccentric load on column)
Depth of Column using Bending Stress and Eccentric load
Go Depth of Column = (6*Eccentric load on column*Eccentricity of Loading)/(Bending Stress in Column*(Width of column^2))
Bending Stress using Eccentric Load and Eccentricity
Go Bending Stress in Column = (6*Eccentric load on column*Eccentricity of Loading)/(Depth of Column*(Width of column^2))
Width of Column given Bending Stress and Moment due to Load
Go Width of column = sqrt((6*Moment due to eccentric load)/(Depth of Column*Bending Stress in Column))
Depth of Column using Bending Stress and Moment Due to Load
Go Depth of Column = (6*Moment due to eccentric load)/(Bending Stress in Column*(Width of column^2))
Moment Due to Load given Bending Stress
Go Moment due to eccentric load = (Bending Stress in Column*(Depth of Column*(Width of column^2)))/6
Bending Stress given Moment due to Load
Go Bending Stress in Column = (6*Moment due to eccentric load)/(Depth of Column*(Width of column^2))
Eccentricity for given moment due to eccentric load
Go Eccentricity of Loading = Moment due to eccentric load/Eccentric load on column
Load given Moment due to Eccentric Load
Go Eccentric load on column = Moment due to eccentric load/Eccentricity of Loading
Moment due to eccentric load
Go Moment due to eccentric load = Eccentric load on column*Eccentricity of Loading
Maximum stress
Go Maximum Stress on Column Section = (Direct stress+Bending Stress in Column)
Moment of inertia of column section about neutral axis
Go MOI of Area of Circular Section = (Depth of Column*(Width of column^3))/12
Minimum stress
Go Minimum Stress Value = (Direct Stress-Bending Stress in Column)

Width of Column using Bending Stress and Eccentric load Formula

Width of column = sqrt((6*Eccentric load on column*Eccentricity of Loading)/(Depth of Column*Bending Stress in Column))
b = sqrt((6*P*eload)/(h*ฯƒb))

What type of stress is developed due to bending?

In torsion of a circular shaft, the action was all shear; contiguous cross sections sheared over one another in their rotation about the axis of the shaft. Here, the major stresses induced due to bending are normal stresses of tension and compression.

How to Calculate Width of Column using Bending Stress and Eccentric load?

Width of Column using Bending Stress and Eccentric load calculator uses Width of column = sqrt((6*Eccentric load on column*Eccentricity of Loading)/(Depth of Column*Bending Stress in Column)) to calculate the Width of column, The Width of column using bending stress and eccentric load formula is defined as the value of how wide the column is. Width of column is denoted by b symbol.

How to calculate Width of Column using Bending Stress and Eccentric load using this online calculator? To use this online calculator for Width of Column using Bending Stress and Eccentric load, enter Eccentric load on column (P), Eccentricity of Loading (eload), Depth of Column (h) & Bending Stress in Column (ฯƒb) and hit the calculate button. Here is how the Width of Column using Bending Stress and Eccentric load calculation can be explained with given input values -> 264575.1 = sqrt((6*7000*0.025)/(3*40000)).

FAQ

What is Width of Column using Bending Stress and Eccentric load?
The Width of column using bending stress and eccentric load formula is defined as the value of how wide the column is and is represented as b = sqrt((6*P*eload)/(h*ฯƒb)) or Width of column = sqrt((6*Eccentric load on column*Eccentricity of Loading)/(Depth of Column*Bending Stress in Column)). Eccentric load on column is the load that causes direct stress as well as bending stress, Eccentricity of Loading is the distance between the actual line of action of loads and the line of action that would produce a uniform stress over the cross section of the specimen, Depth of Column is the distance from the top or surface to the bottom of something & Bending Stress in Column is the normal stress that is induced at a point in a body subjected to loads that cause it to bend.
How to calculate Width of Column using Bending Stress and Eccentric load?
The Width of column using bending stress and eccentric load formula is defined as the value of how wide the column is is calculated using Width of column = sqrt((6*Eccentric load on column*Eccentricity of Loading)/(Depth of Column*Bending Stress in Column)). To calculate Width of Column using Bending Stress and Eccentric load, you need Eccentric load on column (P), Eccentricity of Loading (eload), Depth of Column (h) & Bending Stress in Column (ฯƒb). With our tool, you need to enter the respective value for Eccentric load on column, Eccentricity of Loading, Depth of Column & Bending Stress in 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 Width of column?
In this formula, Width of column uses Eccentric load on column, Eccentricity of Loading, Depth of Column & Bending Stress in Column. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Width of column = sqrt((6*Moment due to eccentric load)/(Depth of Column*Bending Stress in Column))
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