Maximum Bending Stress if Maximum Bending Moment is given for Strut with Axial and Point Load Calculator

✖Maximum Bending Moment In Column is the highest moment of force that causes the column to bend or deform under applied loads.ⓘ Maximum Bending Moment In Column [M_max]			+10% -10%
✖Distance from Neutral Axis to Extreme Point is the distance between the neutral axis and the extreme point.ⓘ Distance from Neutral Axis to Extreme Point [c]			+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%

✖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 if Maximum Bending Moment is given for Strut with Axial and Point Load [σb^max]

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Maximum Bending Stress if Maximum Bending Moment is given for Strut with Axial and Point Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Bending Stress = (Maximum Bending Moment In Column*Distance from Neutral Axis to Extreme Point)/(Column Cross Sectional Area*(Least Radius of Gyration of Column^2))
σb^max = (M_max*c)/(A_sectional*(k^2))
This formula uses 5 Variables

Variables Used

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.
Maximum Bending Moment In Column - (Measured in Newton Meter) - Maximum Bending Moment In Column is the highest moment of force that causes the column to bend or deform under applied loads.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Maximum Bending Moment In Column: 16 Newton Meter --> 16 Newton Meter No Conversion Required
Distance from Neutral Axis to Extreme Point: 10 Millimeter --> 0.01 Meter (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)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σb^max = (M_max*c)/(A_sectional*(k^2)) --> (16*0.01)/(1.4*(0.0029277^2))

Evaluating ... ...

σb^max = 13333.335326667

STEP 3: Convert Result to Output's Unit

13333.335326667 Pascal -->0.013333335326667 Megapascal (Check conversion here)

FINAL ANSWER

0.013333335326667 ≈ 0.013333 Megapascal <-- Maximum Bending Stress

(Calculation completed in 00.020 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 » Maximum Bending Stress if Maximum Bending Moment is given for Strut with Axial and Point Load

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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)

Maximum Bending Stress if Maximum Bending Moment is given for Strut with Axial and Point Load Formula

LaTeX Go

What is Maximum Bending Stress?

Maximum Bending Stress refers to the highest stress experienced at the extreme fibers (top or bottom) of a beam's cross-section when it is subjected to bending moments. It occurs at points where the bending moment is greatest along the beam. The stress results from the bending moment applied to the beam, which creates a distribution of stress across its depth, with the maximum values occurring farthest from the neutral axis.

How to Calculate Maximum Bending Stress if Maximum Bending Moment is given for Strut with Axial and Point Load?

Maximum Bending Stress if Maximum Bending Moment is given for Strut with Axial and Point Load calculator uses Maximum Bending Stress = (Maximum Bending Moment In Column*Distance from Neutral Axis to Extreme Point)/(Column Cross Sectional Area*(Least Radius of Gyration of Column^2)) to calculate the Maximum Bending Stress, The Maximum Bending Stress if Maximum Bending Moment is given for Strut with Axial and Point Load formula is defined as a more specific type of normal stress. When a beam experiences load like that shown in figure one the top fibers of the beam undergo normal compressive stress. Maximum Bending Stress is denoted by σb^max symbol.

How to calculate Maximum Bending Stress if Maximum Bending Moment is given for Strut with Axial and Point Load using this online calculator? To use this online calculator for Maximum Bending Stress if Maximum Bending Moment is given for Strut with Axial and Point Load, enter Maximum Bending Moment In Column (M_max), Distance from Neutral Axis to Extreme Point (c), Column Cross Sectional Area (A_sectional) & Least Radius of Gyration of Column (k) and hit the calculate button. Here is how the Maximum Bending Stress if Maximum Bending Moment is given for Strut with Axial and Point Load calculation can be explained with given input values -> 5.2E-11 = (16*0.01)/(1.4*(0.0029277^2)).

FAQ

What is Maximum Bending Stress if Maximum Bending Moment is given for Strut with Axial and Point Load?

The Maximum Bending Stress if Maximum Bending Moment is given for Strut with Axial and Point Load formula is defined as a more specific type of normal stress. When a beam experiences load like that shown in figure one the top fibers of the beam undergo normal compressive stress and is represented as σb^max = (M_max*c)/(A_sectional*(k^2)) or Maximum Bending Stress = (Maximum Bending Moment In Column*Distance from Neutral Axis to Extreme Point)/(Column Cross Sectional Area*(Least Radius of Gyration of Column^2)). Maximum Bending Moment In Column is the highest moment of force that causes the column to bend or deform under applied loads, Distance from Neutral Axis to Extreme Point is the distance between the neutral axis and the extreme point, 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.

How to calculate Maximum Bending Stress if Maximum Bending Moment is given for Strut with Axial and Point Load?

The Maximum Bending Stress if Maximum Bending Moment is given for Strut with Axial and Point Load formula is defined as a more specific type of normal stress. When a beam experiences load like that shown in figure one the top fibers of the beam undergo normal compressive stress is calculated using Maximum Bending Stress = (Maximum Bending Moment In Column*Distance from Neutral Axis to Extreme Point)/(Column Cross Sectional Area*(Least Radius of Gyration of Column^2)). To calculate Maximum Bending Stress if Maximum Bending Moment is given for Strut with Axial and Point Load, you need Maximum Bending Moment In Column (M_max), Distance from Neutral Axis to Extreme Point (c), Column Cross Sectional Area (A_sectional) & Least Radius of Gyration of Column (k). With our tool, you need to enter the respective value for Maximum Bending Moment In Column, Distance from Neutral Axis to Extreme Point, Column Cross Sectional Area & Least Radius of Gyration of 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 Maximum Bending Stress?

In this formula, Maximum Bending Stress uses Maximum Bending Moment In Column, Distance from Neutral Axis to Extreme Point, Column Cross Sectional Area & Least Radius of Gyration of Column. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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