Deflection at section for strut subjected to compressive axial and uniformly distributed load 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%
✖Load Intensity is defined as load applied per unit area.ⓘ Load Intensity [q_f]			+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%
✖Column Length is the distance between two points where a column gets its fixity of support so its movement is restrained in all directions.ⓘ Column Length [l_column]			+10% -10%
✖The Axial Thrust is the resultant force of all the axial forces (F) acting on the object or material.ⓘ Axial Thrust [P_axial]			+10% -10%

✖Deflection at Section is the lateral displacement at the section of the column.ⓘ Deflection at section for strut subjected to compressive axial and uniformly distributed load [δ]

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Deflection at section for strut subjected to compressive axial and uniformly distributed load

Formula

`"δ" = (-"M"_{"b"}+("q"_{"f"}*((("x"^2)/2)-("l"_{"column"}*"x"/2))))/"P"_{"axial"}`

Example

`"-321.625mm"=(-"48N*m"+("0.005MPa"*(((("35mm")^2)/2)-("5000mm"*"35mm"/2))))/"1500N"`

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Deflection at section for strut subjected to compressive axial and uniformly distributed load Solution

STEP 0: Pre-Calculation Summary

Formula Used

Deflection at Section = (-Bending Moment in Column+(Load Intensity*(((Distance of deflection from end A^2)/2)-(Column Length*Distance of deflection from end A/2))))/Axial Thrust
δ = (-M_b+(q_f*(((x^2)/2)-(l_column*x/2))))/P_axial
This formula uses 6 Variables

Variables Used

Deflection at Section - (Measured in Meter) - Deflection at Section is the lateral displacement at the section of the column.
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.
Load Intensity - (Measured in Pascal) - Load Intensity is defined as load applied per unit area.
Distance of deflection from end A - (Measured in Meter) - Distance of deflection from end A is the distance x of deflection from end A.
Column Length - (Measured in Meter) - Column Length is the distance between two points where a column gets its fixity of support so its movement is restrained in all directions.
Axial Thrust - (Measured in Newton) - The Axial Thrust is the resultant force of all the axial forces (F) acting on the object or material.

STEP 1: Convert Input(s) to Base Unit

Bending Moment in Column: 48 Newton Meter --> 48 Newton Meter No Conversion Required
Load Intensity: 0.005 Megapascal --> 5000 Pascal (Check conversion here)
Distance of deflection from end A: 35 Millimeter --> 0.035 Meter (Check conversion here)
Column Length: 5000 Millimeter --> 5 Meter (Check conversion here)
Axial Thrust: 1500 Newton --> 1500 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

δ = (-M_b+(q_f*(((x^2)/2)-(l_column*x/2))))/P_axial --> (-48+(5000*(((0.035^2)/2)-(5*0.035/2))))/1500

Evaluating ... ...

δ = -0.321625

STEP 3: Convert Result to Output's Unit

-0.321625 Meter -->-321.625 Millimeter (Check conversion here)

FINAL ANSWER

-321.625 Millimeter <-- Deflection at Section

(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 Uniformly Distributed Load » Deflection at section for strut subjected to compressive axial and uniformly distributed load

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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Birsa Institute of Technology (BIT), Sindri

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< 25 Strut Subjected To Compressive Axial Thrust And A Transverse Uniformly Distributed Load Calculators

Maximum deflection for strut subjected to compressive axial and uniformly distributed load

Go Maximum initial deflection = (Load Intensity*(Modulus of Elasticity Column*Moment of Inertia Column/(Axial Thrust^2))*((sec((Column Length/2)*(Axial Thrust/(Modulus of Elasticity Column*Moment of Inertia Column))))-1))-(Load Intensity*(Column Length^2)/(8*Axial Thrust))

Load intensity given max deflection for strut subjected to uniformly distributed load

Go Load Intensity = Maximum initial deflection/((1*(Modulus of Elasticity Column*Moment of Inertia Column/(Axial Thrust^2))*((sec((Column Length/2)*(Axial Thrust/(Modulus of Elasticity Column*Moment of Inertia Column))))-1))-(1*(Column Length^2)/(8*Axial Thrust)))

Maximum bending moment for strut subjected to compressive axial and uniformly distributed load

Go Maximum Bending Moment In Column = -Load Intensity*(Modulus of Elasticity Column*Moment of Inertia Column/Axial Thrust)*((sec((Column Length/2)*(Axial Thrust/(Modulus of Elasticity Column*Moment of Inertia Column))))-1)

Load intensity given max bending moment for strut subjected to uniformly distributed load

Go Load Intensity = Maximum Bending Moment In Column/(Modulus of Elasticity Column*Moment of Inertia Column/Axial Thrust)*((sec((Column Length/2)*(Axial Thrust/(Modulus of Elasticity Column*Moment of Inertia Column))))-1)

Bending moment at section for strut subjected to compressive axial and uniformly distributed load

Go Bending Moment in Column = -(Axial Thrust*Deflection at Section)+(Load Intensity*(((Distance of deflection from end A^2)/2)-(Column Length*Distance of deflection from end A/2)))

Deflection at section for strut subjected to compressive axial and uniformly distributed load

Go Deflection at Section = (-Bending Moment in Column+(Load Intensity*(((Distance of deflection from end A^2)/2)-(Column Length*Distance of deflection from end A/2))))/Axial Thrust

Axial thrust for strut subjected to compressive axial and uniformly distributed load

Go Axial Thrust = (-Bending Moment in Column+(Load Intensity*(((Distance of deflection from end A^2)/2)-(Column Length*Distance of deflection from end A/2))))/Deflection at Section

Length of column for strut subjected to compressive axial and uniformly distributed load

Go Column Length = (((Distance of deflection from end A^2)/2)-((Bending Moment in Column+(Axial Thrust*Deflection at Section))/Load Intensity))*2/Distance of deflection from end A

Load intensity for strut subjected to compressive axial and uniformly distributed load

Go Load Intensity = (Bending Moment in Column+(Axial Thrust*Deflection at Section))/(((Distance of deflection from end A^2)/2)-(Column Length*Distance of deflection from end A/2))

Moment of inertia given maximum stress for strut subjected to uniformly distributed load

Go Moment of Inertia Column = (Maximum Bending Moment In Column*Distance from Neutral Axis to Extreme Point/((Maximum bending stress-(Axial Thrust/Column Cross Sectional Area))))

Distance of extreme layer from NA given max stress for strut under uniformly distributed load

Go Distance from Neutral Axis to Extreme Point = (Maximum bending stress-(Axial Thrust/Column Cross Sectional Area))*Moment of Inertia Column/(Maximum Bending Moment In Column)

Maximum bending moment given max stress for strut subjected to uniformly distributed load

Go Maximum Bending Moment In Column = (Maximum bending stress-(Axial Thrust/Column Cross Sectional Area))*Moment of Inertia Column/(Distance from Neutral Axis to Extreme Point)

Cross-sectional area given maximum stress for strut subjected to uniformly distributed load

Go Column Cross Sectional Area = Axial Thrust/(Maximum bending stress-(Maximum Bending Moment In Column*Distance from Neutral Axis to Extreme Point/Moment of Inertia Column))

Maximum stress for strut subjected to compressive axial and uniformly distributed load

Go Maximum bending stress = (Axial Thrust/Column Cross Sectional Area)+(Maximum Bending Moment In Column*Distance from Neutral Axis to Extreme Point/Moment of Inertia Column)

Axial thrust given maximum stress for strut subjected to uniformly distributed load

Go Axial Thrust = (Maximum bending stress-(Maximum Bending Moment In Column*Distance from Neutral Axis to Extreme Point/Moment of Inertia Column))*Column Cross Sectional Area

Length of column given max bending moment for strut subjected to uniformly distributed load

Go Column Length = sqrt(((Axial Thrust*Maximum initial deflection)-Maximum Bending Moment In Column)*8/(Load Intensity))

Maximum bending moment given elastic modulus for strut subjected to uniformly distributed load

Go Maximum Bending Moment In Column = (Maximum bending stress-(Axial Thrust/Column Cross Sectional Area))*Modulus of Elasticity Column

Cross-sectional area given elastic modulus for strut subjected to uniformly distributed load

Go Column Cross Sectional Area = Axial Thrust/(Maximum bending stress-(Maximum Bending Moment In Column/Modulus of Elasticity Column))

Maximum stress given elastic modulus for strut subjected to uniformly distributed load

Go Maximum bending stress = (Axial Thrust/Column Cross Sectional Area)+(Maximum Bending Moment In Column/Modulus of Elasticity Column)

Elastic modulus given maximum stress for strut subjected to uniformly distributed load

Go Modulus of Elasticity Column = Maximum Bending Moment In Column/(Maximum bending stress-(Axial Thrust/Column Cross Sectional Area))

Axial thrust given elastic modulus for strut subjected to uniformly distributed load

Go Axial Thrust = (Maximum bending stress-(Maximum Bending Moment In Column/Modulus of Elasticity Column))*Column Cross Sectional Area

Load intensity given maximum bending moment for strut subjected to uniformly distributed load

Go Load Intensity = (-(Axial Thrust*Maximum initial deflection)-Maximum Bending Moment In Column)*8/((Column Length^2))

Maximum deflection given max bending moment for strut subjected to uniformly distributed load

Go Maximum initial deflection = (-Maximum Bending Moment In Column-(Load Intensity*(Column Length^2)/8))/(Axial Thrust)

Axial thrust given maximum bending moment for strut subjected to uniformly distributed load

Go Axial Thrust = (-Maximum Bending Moment In Column-(Load Intensity*(Column Length^2)/8))/(Maximum initial deflection)

Maximum bending moment given max deflection for strut subjected to uniformly distributed load

Go Maximum Bending Moment In Column = -(Axial Thrust*Maximum initial deflection)-(Load Intensity*(Column Length^2)/8)

Deflection at section for strut subjected to compressive axial and uniformly distributed load Formula

What is axial thrust?

Axial thrust refers to a propelling force applied along the axis (also called axial direction) of an object to push the object against a platform in a particular direction.

How to Calculate Deflection at section for strut subjected to compressive axial and uniformly distributed load?

Deflection at section for strut subjected to compressive axial and uniformly distributed load calculator uses Deflection at Section = (-Bending Moment in Column+(Load Intensity*(((Distance of deflection from end A^2)/2)-(Column Length*Distance of deflection from end A/2))))/Axial Thrust to calculate the Deflection at Section, The Deflection at section for strut subjected to compressive axial and uniformly distributed load formula is defined as the vertical displacement of a point on a loaded beam. Deflection at Section is denoted by δ symbol.

How to calculate Deflection at section for strut subjected to compressive axial and uniformly distributed load using this online calculator? To use this online calculator for Deflection at section for strut subjected to compressive axial and uniformly distributed load, enter Bending Moment in Column (M_b), Load Intensity (q_f), Distance of deflection from end A (x), Column Length (l_column) & Axial Thrust (P_axial) and hit the calculate button. Here is how the Deflection at section for strut subjected to compressive axial and uniformly distributed load calculation can be explained with given input values -> -321625 = (-48+(5000*(((0.035^2)/2)-(5*0.035/2))))/1500.

FAQ

What is Deflection at section for strut subjected to compressive axial and uniformly distributed load?

The Deflection at section for strut subjected to compressive axial and uniformly distributed load formula is defined as the vertical displacement of a point on a loaded beam and is represented as δ = (-M_b+(q_f*(((x^2)/2)-(l_column*x/2))))/P_axial or Deflection at Section = (-Bending Moment in Column+(Load Intensity*(((Distance of deflection from end A^2)/2)-(Column Length*Distance of deflection from end A/2))))/Axial Thrust. 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, Load Intensity is defined as load applied per unit area, Distance of deflection from end A is the distance x of deflection from end A, Column Length is the distance between two points where a column gets its fixity of support so its movement is restrained in all directions & The Axial Thrust is the resultant force of all the axial forces (F) acting on the object or material.

How to calculate Deflection at section for strut subjected to compressive axial and uniformly distributed load?

The Deflection at section for strut subjected to compressive axial and uniformly distributed load formula is defined as the vertical displacement of a point on a loaded beam is calculated using Deflection at Section = (-Bending Moment in Column+(Load Intensity*(((Distance of deflection from end A^2)/2)-(Column Length*Distance of deflection from end A/2))))/Axial Thrust. To calculate Deflection at section for strut subjected to compressive axial and uniformly distributed load, you need Bending Moment in Column (M_b), Load Intensity (q_f), Distance of deflection from end A (x), Column Length (l_column) & Axial Thrust (P_axial). With our tool, you need to enter the respective value for Bending Moment in Column, Load Intensity, Distance of deflection from end A, Column Length & Axial Thrust 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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