Distance of extreme layer from neutral axis given bending stress for strut Solution

STEP 0: Pre-Calculation Summary
Formula Used
Distance from Neutral Axis to Extreme Point = Bending Stress in Column*(Column Cross Sectional Area*(Least Radius of Gyration Column^2))/(Bending Moment in Column)
c = σb*(Asectional*(rleast^2))/(Mb)
This formula uses 5 Variables
Variables Used
Distance from Neutral Axis to Extreme Point - (Measured in Meter) - Distance from Neutral Axis to Extreme Point is the distance between the neutral axis and the extreme point.
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.
Column Cross Sectional Area - (Measured in Square Meter) - Column Cross Sectional Area is the area of a two-dimensional shape that is obtained when a three dimensional shape is sliced perpendicular to some specified axis at a point.
Least Radius of Gyration Column - (Measured in Meter) - Least Radius of Gyration Column is the smallest value of the radius of gyration is used for structural calculations.
Bending Moment in Column - (Measured in Newton Meter) - Bending Moment in Column is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend.
STEP 1: Convert Input(s) to Base Unit
Bending Stress in Column: 0.04 Megapascal --> 40000 Pascal (Check conversion here)
Column Cross Sectional Area: 1.4 Square Meter --> 1.4 Square Meter No Conversion Required
Least Radius of Gyration Column: 47.02 Millimeter --> 0.04702 Meter (Check conversion here)
Bending Moment in Column: 48 Newton Meter --> 48 Newton Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
c = σb*(Asectional*(rleast^2))/(Mb) --> 40000*(1.4*(0.04702^2))/(48)
Evaluating ... ...
c = 2.57936046666667
STEP 3: Convert Result to Output's Unit
2.57936046666667 Meter -->2579.36046666667 Millimeter (Check conversion here)
FINAL ANSWER
2579.36046666667 2579.36 Millimeter <-- Distance from Neutral Axis to Extreme Point
(Calculation completed in 00.004 seconds)

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23 Strut Subjected To Compressive Axial Thrust And A Transverse Point Load At The Centre Calculators

Radius of gyration given maximum stress induced for strut with axial and point load
Go Least Radius of Gyration Column = sqrt(((Greatest Safe Load*(((sqrt(Moment of Inertia Column*Modulus of Elasticity Column/Column Compressive load))/(2*Column Compressive load))*tan((Column Length/2)*(sqrt(Column Compressive load/(Moment of Inertia Column*Modulus of Elasticity Column/Column Compressive load))))))*(Distance from Neutral Axis to Extreme Point)/(Column Cross Sectional Area*((Maximum bending stress-(Column Compressive load/Column Cross Sectional Area))))))
Distance of extreme layer from neutral axis given maximum stress induced for strut
Go Distance from Neutral Axis to Extreme Point = (Maximum bending stress-(Column Compressive load/Column Cross Sectional Area))*(Column Cross Sectional Area*(Least Radius of Gyration Column^2))/((Greatest Safe Load*(((sqrt(Moment of Inertia Column*Modulus of Elasticity Column/Column Compressive load))/(2*Column Compressive load))*tan((Column Length/2)*(sqrt(Column Compressive load/(Moment of Inertia Column*Modulus of Elasticity Column/Column Compressive load)))))))
Maximum stress induced for strut with axial and transverse point load at center
Go Maximum bending stress = (Column Compressive load/Column Cross Sectional Area)+((Greatest Safe Load*(((sqrt(Moment of Inertia Column*Modulus of Elasticity Column/Column Compressive load))/(2*Column Compressive load))*tan((Column Length/2)*(sqrt(Column Compressive load/(Moment of Inertia Column*Modulus of Elasticity Column/Column Compressive load))))))*(Distance from Neutral Axis to Extreme Point)/(Column Cross Sectional Area*(Least Radius of Gyration Column^2)))
Cross-sectional area given maximum stress induced for strut with axial and point load
Go Column Cross Sectional Area = (Column Compressive load/Maximum bending stress)+((Greatest Safe Load*(((sqrt(Moment of Inertia Column*Modulus of Elasticity Column/Column Compressive load))/(2*Column Compressive load))*tan((Column Length/2)*(sqrt(Column Compressive load/(Moment of Inertia Column*Modulus of Elasticity Column/Column Compressive load))))))*(Distance from Neutral Axis to Extreme Point)/(Maximum bending stress*(Least Radius of Gyration Column^2)))
Maximum deflection for strut with axial and transverse point load at center
Go Deflection at Section = Greatest Safe Load*((((sqrt(Moment of Inertia Column*Modulus of Elasticity Column/Column Compressive load))/(2*Column Compressive load))*tan((Column Length/2)*(sqrt(Column Compressive load/(Moment of Inertia Column*Modulus of Elasticity Column/Column Compressive load)))))-(Column Length/(4*Column Compressive load)))
Transverse point load given maximum deflection for strut
Go Greatest Safe Load = Deflection at Section/((((sqrt(Moment of Inertia Column*Modulus of Elasticity Column/Column Compressive load))/(2*Column Compressive load))*tan((Column Length/2)*(sqrt(Column Compressive load/(Moment of Inertia Column*Modulus of Elasticity Column/Column Compressive load)))))-(Column Length/(4*Column Compressive load)))
Maximum bending moment for strut with axial and transverse point load at center
Go Maximum Bending Moment In Column = Greatest Safe Load*(((sqrt(Moment of Inertia Column* Modulus of Elasticity Column/Column Compressive load))/(2*Column Compressive load))*tan((Column Length/2)*(sqrt(Column Compressive load/(Moment of Inertia Column*Modulus of Elasticity Column/Column Compressive load)))))
Transverse point load given maximum bending moment for strut
Go Greatest Safe Load = Maximum Bending Moment In Column/(((sqrt(Moment of Inertia Column*Modulus of Elasticity Column/Column Compressive load))/(2*Column Compressive load))*tan((Column Length/2)*(sqrt(Column Compressive load/(Moment of Inertia Column*Modulus of Elasticity Column/Column Compressive load)))))
Radius of gyration if maximum bending moment is given for strut with axial and point load
Go Least Radius of Gyration Column = sqrt((Maximum Bending Moment In Column*Distance from Neutral Axis to Extreme Point)/(Column Cross Sectional Area*Maximum bending stress))
Radius of gyration given bending stress for strut with axial and transverse point load
Go Least Radius of Gyration Column = sqrt((Bending Moment in Column*Distance from Neutral Axis to Extreme Point)/(Bending Stress in Column*Column Cross Sectional Area))
Deflection at section for strut with axial and transverse point load at center
Go Deflection at Section = Column Compressive load-(Bending Moment in Column+(Greatest Safe Load*Distance of deflection from end A/2))/(Column Compressive load)
Distance of extreme layer from neutral axis if max bending moment is given for strut with point load
Go Distance from Neutral Axis to Extreme Point = Maximum bending stress*(Column Cross Sectional Area*(Least Radius of Gyration Column^2))/(Maximum Bending Moment In Column)
Maximum bending stress if maximum bending moment is given for strut with axial and point load
Go Maximum bending stress = (Maximum Bending Moment In Column*Distance from Neutral Axis to Extreme Point)/(Column Cross Sectional Area*(Least Radius of Gyration Column^2))
Maximum bending moment if maximum bending stress is given for strut with axial and point load
Go Maximum Bending Moment In Column = Maximum bending stress*(Column Cross Sectional Area*(Least Radius of Gyration Column^2))/(Distance from Neutral Axis to Extreme Point)
Cross sectional area if maximum bending moment is given for strut with axial and point load
Go Column Cross Sectional Area = (Maximum Bending Moment In Column*Distance from Neutral Axis to Extreme Point)/((Least Radius of Gyration Column^2)*Maximum bending stress)
Bending moment given bending stress for strut with axial and transverse point load at center
Go Bending Moment in Column = Bending Stress in Column*(Column Cross Sectional Area*(Least Radius of Gyration Column^2))/(Distance from Neutral Axis to Extreme Point)
Cross-sectional area given bending stress for strut with axial and transverse point load
Go Column Cross Sectional Area = (Bending Moment in Column*Distance from Neutral Axis to Extreme Point)/(Bending Stress in Column*(Least Radius of Gyration Column^2))
Distance of extreme layer from neutral axis given bending stress for strut
Go Distance from Neutral Axis to Extreme Point = Bending Stress in Column*(Column Cross Sectional Area*(Least Radius of Gyration Column^2))/(Bending Moment in Column)
Bending stress for strut with axial and transverse point load at center
Go Bending Stress in Column = (Bending Moment in Column*Distance from Neutral Axis to Extreme Point)/(Column Cross Sectional Area*(Least Radius of Gyration Column^2))
Distance of deflection from end A for strut with axial and transverse point load at center
Go Distance of deflection from end A = (-Bending Moment in Column-(Column Compressive load*Deflection at Section))*2/(Greatest Safe Load)
Compressive axial load for strut with axial and transverse point load at center
Go Column Compressive load = -(Bending Moment in Column+(Greatest Safe Load*Distance of deflection from end A/2))/(Deflection at Section)
Transverse point load for strut with axial and transverse point load at center
Go Greatest Safe Load = (-Bending Moment in Column-(Column Compressive load*Deflection at Section))*2/(Distance of deflection from end A)
Bending moment at section for strut with axial and transverse point load at center
Go Bending Moment in Column = -(Column Compressive load*Deflection at Section)-(Greatest Safe Load*Distance of deflection from end A/2)

Distance of extreme layer from neutral axis given bending stress for strut Formula

Distance from Neutral Axis to Extreme Point = Bending Stress in Column*(Column Cross Sectional Area*(Least Radius of Gyration Column^2))/(Bending Moment in Column)
c = σb*(Asectional*(rleast^2))/(Mb)

What is transverse point loading?

Transverse loading is a load applied vertically to the plane of the longitudinal axis of a configuration, such as a wind load. It causes the material to bend and rebound from its original position, with inner tensile and compressive straining associated with the change in curvature of the material.

How to Calculate Distance of extreme layer from neutral axis given bending stress for strut?

Distance of extreme layer from neutral axis given bending stress for strut calculator uses Distance from Neutral Axis to Extreme Point = Bending Stress in Column*(Column Cross Sectional Area*(Least Radius of Gyration Column^2))/(Bending Moment in Column) to calculate the Distance from Neutral Axis to Extreme Point, The Distance of extreme layer from neutral axis given bending stress for strut formula is defined as the distance of the extreme layer of the column from the neutral axis. Distance from Neutral Axis to Extreme Point is denoted by c symbol.

How to calculate Distance of extreme layer from neutral axis given bending stress for strut using this online calculator? To use this online calculator for Distance of extreme layer from neutral axis given bending stress for strut, enter Bending Stress in Column b), Column Cross Sectional Area (Asectional), Least Radius of Gyration Column (rleast) & Bending Moment in Column (Mb) and hit the calculate button. Here is how the Distance of extreme layer from neutral axis given bending stress for strut calculation can be explained with given input values -> 2.6E+6 = 40000*(1.4*(0.04702^2))/(48).

FAQ

What is Distance of extreme layer from neutral axis given bending stress for strut?
The Distance of extreme layer from neutral axis given bending stress for strut formula is defined as the distance of the extreme layer of the column from the neutral axis and is represented as c = σb*(Asectional*(rleast^2))/(Mb) or Distance from Neutral Axis to Extreme Point = Bending Stress in Column*(Column Cross Sectional Area*(Least Radius of Gyration Column^2))/(Bending Moment in Column). 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, Column Cross Sectional Area is the area of a two-dimensional shape that is obtained when a three dimensional shape is sliced perpendicular to some specified axis at a point, Least Radius of Gyration Column is the smallest value of the radius of gyration is used for structural calculations & Bending Moment in Column is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend.
How to calculate Distance of extreme layer from neutral axis given bending stress for strut?
The Distance of extreme layer from neutral axis given bending stress for strut formula is defined as the distance of the extreme layer of the column from the neutral axis is calculated using Distance from Neutral Axis to Extreme Point = Bending Stress in Column*(Column Cross Sectional Area*(Least Radius of Gyration Column^2))/(Bending Moment in Column). To calculate Distance of extreme layer from neutral axis given bending stress for strut, you need Bending Stress in Column b), Column Cross Sectional Area (Asectional), Least Radius of Gyration Column (rleast) & Bending Moment in Column (Mb). With our tool, you need to enter the respective value for Bending Stress in Column, Column Cross Sectional Area, Least Radius of Gyration Column & Bending Moment 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 Distance from Neutral Axis to Extreme Point?
In this formula, Distance from Neutral Axis to Extreme Point uses Bending Stress in Column, Column Cross Sectional Area, Least Radius of Gyration Column & Bending Moment in Column. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Distance from Neutral Axis to Extreme Point = Maximum bending stress*(Column Cross Sectional Area*(Least Radius of Gyration Column^2))/(Maximum Bending Moment In Column)
  • Distance from Neutral Axis to Extreme Point = (Maximum bending stress-(Column Compressive load/Column Cross Sectional Area))*(Column Cross Sectional Area*(Least Radius of Gyration Column^2))/((Greatest Safe Load*(((sqrt(Moment of Inertia Column*Modulus of Elasticity Column/Column Compressive load))/(2*Column Compressive load))*tan((Column Length/2)*(sqrt(Column Compressive load/(Moment of Inertia Column*Modulus of Elasticity Column/Column Compressive load)))))))
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