Compressive axial load for strut with axial and transverse point load at center Calculator

✖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 in Column [M_b]			+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%
✖Deflection at Section is the lateral displacement at the section of the column.ⓘ Deflection at Section [δ]			+10% -10%

✖Column Compressive load is the load applied to a column that is compressive in nature.ⓘ Compressive axial load for strut with axial and transverse point load at center [P_compressive]

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Formula

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Compressive axial load for strut with axial and transverse point load at center

Formula

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

Example

`"-4.145833kN"=-("48N*m"+("0.1kN"*"35mm"/2))/("12mm")`

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Compressive axial load for strut with axial and transverse point load at center Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Column Compressive load - (Measured in Newton) - Column Compressive load is the load applied to a column that is compressive in nature.
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.
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.
Deflection at Section - (Measured in Meter) - Deflection at Section is the lateral displacement at the section of the column.

STEP 1: Convert Input(s) to Base Unit

Bending Moment in Column: 48 Newton Meter --> 48 Newton Meter No Conversion Required
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)
Deflection at Section: 12 Millimeter --> 0.012 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_compressive = -(M_b+(Wp*x/2))/(δ) --> -(48+(100*0.035/2))/(0.012)

Evaluating ... ...

P_compressive = -4145.83333333333

STEP 3: Convert Result to Output's Unit

-4145.83333333333 Newton -->-4.14583333333333 Kilonewton (Check conversion here)

FINAL ANSWER

-4.14583333333333 ≈ -4.145833 Kilonewton <-- Column Compressive load

(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 » Compressive axial load for strut with axial and transverse point load at center

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National Institute Of Technology (NIT), Hamirpur

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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)

Compressive axial load for strut with axial and transverse point load at center Formula

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

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 Compressive axial load for strut with axial and transverse point load at center?

Compressive axial load for strut with axial and transverse point load at center calculator uses Column Compressive load = -(Bending Moment in Column+(Greatest Safe Load*Distance of deflection from end A/2))/(Deflection at Section) to calculate the Column Compressive load, The Compressive axial load for strut with axial and transverse point load at center formula is defined as applying a force on a structure directly along an axis of the structure. Column Compressive load is denoted by P_compressive symbol.

How to calculate Compressive axial load for strut with axial and transverse point load at center using this online calculator? To use this online calculator for Compressive axial load for strut with axial and transverse point load at center, enter Bending Moment in Column (M_b), Greatest Safe Load (Wp), Distance of deflection from end A (x) & Deflection at Section (δ) and hit the calculate button. Here is how the Compressive axial load for strut with axial and transverse point load at center calculation can be explained with given input values -> -0.004146 = -(48+(100*0.035/2))/(0.012).

FAQ

What is Compressive axial load for strut with axial and transverse point load at center?

The Compressive axial load for strut with axial and transverse point load at center formula is defined as applying a force on a structure directly along an axis of the structure and is represented as P_compressive = -(M_b+(Wp*x/2))/(δ) or Column Compressive load = -(Bending Moment in Column+(Greatest Safe Load*Distance of deflection from end A/2))/(Deflection at Section). 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, 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 & Deflection at Section is the lateral displacement at the section of the column.

How to calculate Compressive axial load for strut with axial and transverse point load at center?

The Compressive axial load for strut with axial and transverse point load at center formula is defined as applying a force on a structure directly along an axis of the structure is calculated using Column Compressive load = -(Bending Moment in Column+(Greatest Safe Load*Distance of deflection from end A/2))/(Deflection at Section). To calculate Compressive axial load for strut with axial and transverse point load at center, you need Bending Moment in Column (M_b), Greatest Safe Load (Wp), Distance of deflection from end A (x) & Deflection at Section (δ). With our tool, you need to enter the respective value for Bending Moment in Column, Greatest Safe Load, Distance of deflection from end A & Deflection at Section and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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