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

✖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.ⓘ Bending Stress in Column [σ_b]			+10% -10%
✖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.ⓘ Column Cross Sectional Area [A_sectional]			+10% -10%
✖Least Radius of Gyration Column is the smallest value of the radius of gyration is used for structural calculations.ⓘ Least Radius of Gyration Column [r_least]			+10% -10%
✖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.ⓘ Bending Moment in Column [M_b]			+10% -10%

✖Distance from Neutral Axis to Extreme Point is the distance between the neutral axis and the extreme point.ⓘ Distance of extreme layer from neutral axis given bending stress for strut [c]

⎘ Copy

👎

Formula

✖

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

Formula

c = σ b \cdot \frac{A sectional \cdot ({r least}^{2})}{M b}

Example

2579.36 mm = 0.04 MPa \cdot \frac{1.4 m² \cdot ({47.02 mm}^{2})}{48 N*m}

Calculator

LaTeX

Reset

👍

Download Column And Struts Formula PDF PDF Image

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 = σ_b*(A_sectional*(r_least^2))/(M_b)
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 = σ_b*(A_sectional*(r_least^2))/(M_b) --> 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)

You are here -

Home » Physics » Strength of Materials » Column And Struts » Strut With Lateral Load » Mechanical » Strut Subjected to Compressive Axial Thrust and a Transverse Point Load at the Centre » Distance of extreme layer from neutral axis given bending stress for strut

Credits

Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has created this Calculator and 2000+ more calculators!

Verified by Payal Priya

Birsa Institute of Technology (BIT), Sindri

Payal Priya has verified this Calculator and 1900+ more calculators!

< Strut Subjected to Compressive Axial Thrust and a Transverse Point Load at the Centre Calculators

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)

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

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 (σ_b), Column Cross Sectional Area (A_sectional), Least Radius of Gyration Column (r_least) & Bending Moment in Column (M_b) 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 = σ_b*(A_sectional*(r_least^2))/(M_b) 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 (σ_b), Column Cross Sectional Area (A_sectional), Least Radius of Gyration Column (r_least) & Bending Moment in Column (M_b). 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)))))))

Home

FREE PDFs

🔍 Search