Distance of Extreme Layer from Neutral Axis given Maximum Stress induced for Strut Calculator

✖Maximum Bending Stress is the highest stress experienced by a material when subjected to bending forces. It occurs at the point on a beam or structural element where the bending moment is greatest.ⓘ Maximum Bending Stress [σb^max]			+10% -10%
✖Column Compressive Load is the load applied to a column that is compressive in nature.ⓘ Column Compressive Load [P_compressive]			+10% -10%
✖Column Cross Sectional Area is the area of a column that is obtained when a column is sliced perpendicular to some specified axis at a point.ⓘ Column Cross Sectional Area [A_sectional]			+10% -10%
✖Least Radius of Gyration of Column is a measure of the distribution of its cross-sectional area around its centroidal axis.ⓘ Least Radius of Gyration of Column [k]			+10% -10%
✖Greatest Safe Load is the maximum safe point load allowable at the center of the beam.ⓘ Greatest Safe Load [W_p]			+10% -10%
✖Moment of Inertia in Column is the measure of the resistance of a column to angular acceleration about a given axis.ⓘ Moment of Inertia in Column [I]			+10% -10%
✖Modulus of Elasticity is a quantity that measures an object or substance's resistance to being deformed elastically when stress is applied to it.ⓘ Modulus of Elasticity [ε_column]			+10% -10%
✖Column Length is the distance between two points where a column gets its fixity of support so its movement is restrained in all directions.ⓘ Column Length [l_column]			+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 Maximum Stress induced for Strut [c]

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Distance of Extreme Layer from Neutral Axis given Maximum Stress induced for Strut Solution

STEP 0: Pre-Calculation Summary

Formula Used

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 of Column^2))/((Greatest Safe Load*(((sqrt(Moment of Inertia in Column*Modulus of Elasticity/Column Compressive Load))/(2*Column Compressive Load))*tan((Column Length/2)*(sqrt(Column Compressive Load/(Moment of Inertia in Column*Modulus of Elasticity/Column Compressive Load)))))))
c = (σb^max-(P_compressive/A_sectional))*(A_sectional*(k^2))/((W_p*(((sqrt(I*ε_column/P_compressive))/(2*P_compressive))*tan((l_column/2)*(sqrt(P_compressive/(I*ε_column/P_compressive)))))))
This formula uses 2 Functions, 9 Variables

Functions Used

tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)
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

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.
Maximum Bending Stress - (Measured in Pascal) - Maximum Bending Stress is the highest stress experienced by a material when subjected to bending forces. It occurs at the point on a beam or structural element where the bending moment is greatest.
Column Compressive Load - (Measured in Newton) - Column Compressive Load is the load applied to a column that is compressive in nature.
Column Cross Sectional Area - (Measured in Square Meter) - Column Cross Sectional Area is the area of a column that is obtained when a column is sliced perpendicular to some specified axis at a point.
Least Radius of Gyration of Column - (Measured in Meter) - Least Radius of Gyration of Column is a measure of the distribution of its cross-sectional area around its centroidal axis.
Greatest Safe Load - (Measured in Newton) - Greatest Safe Load is the maximum safe point load allowable at the center of the beam.
Moment of Inertia in Column - (Measured in Meter⁴) - Moment of Inertia in Column is the measure of the resistance of a column to angular acceleration about a given axis.
Modulus of Elasticity - (Measured in Pascal) - Modulus of Elasticity is a quantity that measures an object or substance's resistance to being deformed elastically when stress is applied to it.
Column Length - (Measured in Meter) - Column Length is the distance between two points where a column gets its fixity of support so its movement is restrained in all directions.

STEP 1: Convert Input(s) to Base Unit

Maximum Bending Stress: 2 Megapascal --> 2000000 Pascal (Check conversion here)
Column Compressive Load: 0.4 Kilonewton --> 400 Newton (Check conversion here)
Column Cross Sectional Area: 1.4 Square Meter --> 1.4 Square Meter No Conversion Required
Least Radius of Gyration of Column: 2.9277 Millimeter --> 0.0029277 Meter (Check conversion here)
Greatest Safe Load: 0.1 Kilonewton --> 100 Newton (Check conversion here)
Moment of Inertia in Column: 5600 Centimeter⁴ --> 5.6E-05 Meter⁴ (Check conversion here)
Modulus of Elasticity: 10.56 Megapascal --> 10560000 Pascal (Check conversion here)
Column Length: 5000 Millimeter --> 5 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

c = (σb^max-(P_compressive/A_sectional))*(A_sectional*(k^2))/((W_p*(((sqrt(I*ε_column/P_compressive))/(2*P_compressive))*tan((l_column/2)*(sqrt(P_compressive/(I*ε_column/P_compressive))))))) --> (2000000-(400/1.4))*(1.4*(0.0029277^2))/((100*(((sqrt(5.6E-05*10560000/400))/(2*400))*tan((5/2)*(sqrt(400/(5.6E-05*10560000/400)))))))

Evaluating ... ...

c = 546.437197181596

STEP 3: Convert Result to Output's Unit

546.437197181596 Meter -->546437.197181596 Millimeter (Check conversion here)

FINAL ANSWER

546437.197181596 ≈ 546437.2 Millimeter <-- Distance from Neutral Axis to Extreme Point

(Calculation completed in 00.009 seconds)

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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 Maximum Stress induced for Strut

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< 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

LaTeX Go Deflection at Column 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

LaTeX Go Column Compressive Load = -(Bending Moment in Column+(Greatest Safe Load*Distance of Deflection from end A/2))/(Deflection at Column Section)

Transverse Point Load for Strut with Axial and Transverse Point Load at Center

LaTeX Go Greatest Safe Load = (-Bending Moment in Column-(Column Compressive Load*Deflection at Column Section))*2/(Distance of Deflection from end A)

Bending Moment at Section for Strut with Axial and Transverse Point Load at Center

LaTeX Go Bending Moment in Column = -(Column Compressive Load*Deflection at Column Section)-(Greatest Safe Load*Distance of Deflection from end A/2)

Distance of Extreme Layer from Neutral Axis given Maximum Stress induced for Strut Formula

LaTeX Go

What is Maximum Deflection?

Maximum Deflection refers to the largest displacement or deformation experienced by a structural element (such as a beam or column) under an applied load. It occurs at the point along the length of the element where the bending or deformation is greatest. Engineers calculate and control the maximum deflection to ensure that the structure functions properly, remains safe, and prevents excessive movement that could cause damage or failure.

How to Calculate Distance of Extreme Layer from Neutral Axis given Maximum Stress induced for Strut?

Distance of Extreme Layer from Neutral Axis given Maximum Stress induced for Strut calculator uses 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 of Column^2))/((Greatest Safe Load*(((sqrt(Moment of Inertia in Column*Modulus of Elasticity/Column Compressive Load))/(2*Column Compressive Load))*tan((Column Length/2)*(sqrt(Column Compressive Load/(Moment of Inertia in Column*Modulus of Elasticity/Column Compressive Load))))))) to calculate the Distance from Neutral Axis to Extreme Point, The Distance of Extreme Layer from Neutral Axis given Maximum Stress induced for Strut formula is defined as a measure of the distance from the neutral axis to the extreme layer of a strut subjected to compressive axial thrust and a transverse point load at the Centre, providing critical information for structural analysis and design. Distance from Neutral Axis to Extreme Point is denoted by c symbol.

How to calculate Distance of Extreme Layer from Neutral Axis given Maximum Stress induced for Strut using this online calculator? To use this online calculator for Distance of Extreme Layer from Neutral Axis given Maximum Stress induced for Strut, enter Maximum Bending Stress (σb^max), Column Compressive Load (P_compressive), Column Cross Sectional Area (A_sectional), Least Radius of Gyration of Column (k), Greatest Safe Load (W_p), Moment of Inertia in Column (I), Modulus of Elasticity (ε_column) & Column Length (l_column) and hit the calculate button. Here is how the Distance of Extreme Layer from Neutral Axis given Maximum Stress induced for Strut calculation can be explained with given input values -> 1.4E+11 = (2000000-(400/1.4))*(1.4*(0.0029277^2))/((100*(((sqrt(5.6E-05*10560000/400))/(2*400))*tan((5/2)*(sqrt(400/(5.6E-05*10560000/400))))))).

FAQ

What is Distance of Extreme Layer from Neutral Axis given Maximum Stress induced for Strut?

The Distance of Extreme Layer from Neutral Axis given Maximum Stress induced for Strut formula is defined as a measure of the distance from the neutral axis to the extreme layer of a strut subjected to compressive axial thrust and a transverse point load at the Centre, providing critical information for structural analysis and design and is represented as c = (σb^max-(P_compressive/A_sectional))*(A_sectional*(k^2))/((W_p*(((sqrt(I*ε_column/P_compressive))/(2*P_compressive))*tan((l_column/2)*(sqrt(P_compressive/(I*ε_column/P_compressive))))))) or 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 of Column^2))/((Greatest Safe Load*(((sqrt(Moment of Inertia in Column*Modulus of Elasticity/Column Compressive Load))/(2*Column Compressive Load))*tan((Column Length/2)*(sqrt(Column Compressive Load/(Moment of Inertia in Column*Modulus of Elasticity/Column Compressive Load))))))). Maximum Bending Stress is the highest stress experienced by a material when subjected to bending forces. It occurs at the point on a beam or structural element where the bending moment is greatest, Column Compressive Load is the load applied to a column that is compressive in nature, Column Cross Sectional Area is the area of a column that is obtained when a column is sliced perpendicular to some specified axis at a point, Least Radius of Gyration of Column is a measure of the distribution of its cross-sectional area around its centroidal axis, Greatest Safe Load is the maximum safe point load allowable at the center of the beam, Moment of Inertia in Column is the measure of the resistance of a column to angular acceleration about a given axis, Modulus of Elasticity is a quantity that measures an object or substance's resistance to being deformed elastically when stress is applied to it & Column Length is the distance between two points where a column gets its fixity of support so its movement is restrained in all directions.

How to calculate Distance of Extreme Layer from Neutral Axis given Maximum Stress induced for Strut?

The Distance of Extreme Layer from Neutral Axis given Maximum Stress induced for Strut formula is defined as a measure of the distance from the neutral axis to the extreme layer of a strut subjected to compressive axial thrust and a transverse point load at the Centre, providing critical information for structural analysis and design is calculated using 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 of Column^2))/((Greatest Safe Load*(((sqrt(Moment of Inertia in Column*Modulus of Elasticity/Column Compressive Load))/(2*Column Compressive Load))*tan((Column Length/2)*(sqrt(Column Compressive Load/(Moment of Inertia in Column*Modulus of Elasticity/Column Compressive Load))))))). To calculate Distance of Extreme Layer from Neutral Axis given Maximum Stress induced for Strut, you need Maximum Bending Stress (σb^max), Column Compressive Load (P_compressive), Column Cross Sectional Area (A_sectional), Least Radius of Gyration of Column (k), Greatest Safe Load (W_p), Moment of Inertia in Column (I), Modulus of Elasticity (ε_column) & Column Length (l_column). With our tool, you need to enter the respective value for Maximum Bending Stress, Column Compressive Load, Column Cross Sectional Area, Least Radius of Gyration of Column, Greatest Safe Load, Moment of Inertia in Column, Modulus of Elasticity & Column Length 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 Maximum Bending Stress, Column Compressive Load, Column Cross Sectional Area, Least Radius of Gyration of Column, Greatest Safe Load, Moment of Inertia in Column, Modulus of Elasticity & Column Length. We can use 2 other way(s) to calculate the same, which is/are as follows -

Distance from Neutral Axis to Extreme Point = Bending Stress in Column*(Column Cross Sectional Area*(Least Radius of Gyration of Column^2))/(Bending Moment in Column)
Distance from Neutral Axis to Extreme Point = Maximum Bending Stress*(Column Cross Sectional Area*(Least Radius of Gyration of Column^2))/(Maximum Bending Moment In Column)

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