Maximum bending stress if maximum bending moment is given for strut with axial and point load Calculator

✖Maximum Bending Moment In Column is the absolute value of the maximum moment in the unbraced beam segment.ⓘ Maximum Bending Moment In Column [M]			+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 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%

✖Maximum bending stress is the normal stress that is induced at a point in a body subjected to loads that cause it to bend.ⓘ 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

Formula

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

Example

5.2E-5 MPa = \frac{16 N*m \cdot 10 mm}{1.4 m² \cdot ({47.02 mm}^{2})}

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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 Column^2))
σb^max = (M*c)/(A_sectional*(r_least^2))
This formula uses 5 Variables

Variables Used

Maximum bending stress - (Measured in Pascal) - Maximum bending stress is the normal stress that is induced at a point in a body subjected to loads that cause it to bend.
Maximum Bending Moment In Column - (Measured in Newton Meter) - Maximum Bending Moment In Column is the absolute value of the maximum moment in the unbraced beam segment.
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 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.

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 Column: 47.02 Millimeter --> 0.04702 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σb^max = (M*c)/(A_sectional*(r_least^2)) --> (16*0.01)/(1.4*(0.04702^2))

Evaluating ... ...

σb^max = 51.6924001342245

STEP 3: Convert Result to Output's Unit

51.6924001342245 Pascal -->5.16924001342245E-05 Megapascal (Check conversion here)

FINAL ANSWER

5.16924001342245E-05 ≈ 5.2E-5 Megapascal <-- Maximum bending stress

(Calculation completed in 00.004 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

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)

Maximum bending stress if maximum bending moment is given for strut with axial and point load 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 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 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), Distance from Neutral Axis to Extreme Point (c), Column Cross Sectional Area (A_sectional) & Least Radius of Gyration Column (r_least) 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*(0.04702^2)).

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*c)/(A_sectional*(r_least^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 Column^2)). Maximum Bending Moment In Column is the absolute value of the maximum moment in the unbraced beam segment, 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 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.

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 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), Distance from Neutral Axis to Extreme Point (c), Column Cross Sectional Area (A_sectional) & Least Radius of Gyration Column (r_least). 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 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 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 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)))

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