Bending moment at section for strut with axial and transverse point load at center Calculator

✖Column Compressive load is the load applied to a column that is compressive in nature.ⓘ Column Compressive load [P_compressive]			+10% -10%
✖Deflection at Section is the lateral displacement at the section of the column.ⓘ Deflection at Section [δ]			+10% -10%
✖Greatest Safe Load is the maximum safe point load allowable at the center of the beam.ⓘ Greatest Safe Load [Wp]			+10% -10%
✖Distance of deflection from end A is the distance x of deflection from end A.ⓘ Distance of deflection from end A [x]			+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 at section for strut with axial and transverse point load at center [M_b]

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Formula

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Bending moment at section for strut with axial and transverse point load at center

Formula

`"M"_{"b"} = -("P"_{"compressive"}*"δ")-("Wp"*"x"/2)`

Example

`"-6.55N*m"=-("0.4kN"*"12mm")-("0.1kN"*"35mm"/2)`

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Bending moment at section for strut with axial and transverse point load at center Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bending Moment in Column = -(Column Compressive load*Deflection at Section)-(Greatest Safe Load*Distance of deflection from end A/2)
M_b = -(P_compressive*δ)-(Wp*x/2)
This formula uses 5 Variables

Variables Used

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.
Column Compressive load - (Measured in Newton) - Column Compressive load is the load applied to a column that is compressive in nature.
Deflection at Section - (Measured in Meter) - Deflection at Section is the lateral displacement at the section of the column.
Greatest Safe Load - (Measured in Newton) - Greatest Safe Load is the maximum safe point load allowable at the center of the beam.
Distance of deflection from end A - (Measured in Meter) - Distance of deflection from end A is the distance x of deflection from end A.

STEP 1: Convert Input(s) to Base Unit

Column Compressive load: 0.4 Kilonewton --> 400 Newton (Check conversion here)
Deflection at Section: 12 Millimeter --> 0.012 Meter (Check conversion here)
Greatest Safe Load: 0.1 Kilonewton --> 100 Newton (Check conversion here)
Distance of deflection from end A: 35 Millimeter --> 0.035 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_b = -(P_compressive*δ)-(Wp*x/2) --> -(400*0.012)-(100*0.035/2)

Evaluating ... ...

M_b = -6.55

STEP 3: Convert Result to Output's Unit

-6.55 Newton Meter --> No Conversion Required

FINAL ANSWER

-6.55 Newton Meter <-- Bending Moment in Column

(Calculation completed in 00.004 seconds)

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Home » Physics » Strength of Materials » Column And Struts » Strut With lateral load » Strut Subjected To Compressive Axial Thrust And A Transverse Point Load At The Centre » Bending moment at section for strut with axial and transverse point load at center

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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)

Bending moment at section for strut with axial and transverse point load at center Formula

Bending Moment in Column = -(Column Compressive load*Deflection at Section)-(Greatest Safe Load*Distance of deflection from end A/2)
M_b = -(P_compressive*δ)-(Wp*x/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 Bending moment at section for strut with axial and transverse point load at center?

Bending moment at section for strut with axial and transverse point load at center calculator uses Bending Moment in Column = -(Column Compressive load*Deflection at Section)-(Greatest Safe Load*Distance of deflection from end A/2) to calculate the Bending Moment in Column, The Bending moment at section for strut with axial and transverse point load at center formula is defined as reaction induced in a structural element when external force or moment is applied to element, causing element to bend. Bending Moment in Column is denoted by M_b symbol.

How to calculate Bending moment at section for strut with axial and transverse point load at center using this online calculator? To use this online calculator for Bending moment at section for strut with axial and transverse point load at center, enter Column Compressive load (P_compressive), Deflection at Section (δ), Greatest Safe Load (Wp) & Distance of deflection from end A (x) and hit the calculate button. Here is how the Bending moment at section for strut with axial and transverse point load at center calculation can be explained with given input values -> -6.55 = -(400*0.012)-(100*0.035/2).

FAQ

What is Bending moment at section for strut with axial and transverse point load at center?

The Bending moment at section for strut with axial and transverse point load at center formula is defined as reaction induced in a structural element when external force or moment is applied to element, causing element to bend and is represented as M_b = -(P_compressive*δ)-(Wp*x/2) or Bending Moment in Column = -(Column Compressive load*Deflection at Section)-(Greatest Safe Load*Distance of deflection from end A/2). Column Compressive load is the load applied to a column that is compressive in nature, Deflection at Section is the lateral displacement at the section of the column, Greatest Safe Load is the maximum safe point load allowable at the center of the beam & Distance of deflection from end A is the distance x of deflection from end A.

How to calculate Bending moment at section for strut with axial and transverse point load at center?

The Bending moment at section for strut with axial and transverse point load at center formula is defined as reaction induced in a structural element when external force or moment is applied to element, causing element to bend is calculated using Bending Moment in Column = -(Column Compressive load*Deflection at Section)-(Greatest Safe Load*Distance of deflection from end A/2). To calculate Bending moment at section for strut with axial and transverse point load at center, you need Column Compressive load (P_compressive), Deflection at Section (δ), Greatest Safe Load (Wp) & Distance of deflection from end A (x). With our tool, you need to enter the respective value for Column Compressive load, Deflection at Section, Greatest Safe Load & Distance of deflection from end A 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 Bending Moment in Column?

In this formula, Bending Moment in Column uses Column Compressive load, Deflection at Section, Greatest Safe Load & Distance of deflection from end A. We can use 1 other way(s) to calculate the same, which is/are as follows -

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)

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