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))
σbmax = (M*c)/(Asectional*(rleast^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
σbmax = (M*c)/(Asectional*(rleast^2)) --> (16*0.01)/(1.4*(0.04702^2))
Evaluating ... ...
σbmax = 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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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)

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

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))
σbmax = (M*c)/(Asectional*(rleast^2))

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 σbmax 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 (Asectional) & Least Radius of Gyration Column (rleast) 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 σbmax = (M*c)/(Asectional*(rleast^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 (Asectional) & Least Radius of Gyration Column (rleast). 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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