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

✖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 [δ]			+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%

✖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 subjected to compressive axial and uniformly distributed load [M_b]

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

Formula

M b = - (P axial \cdot δ) + (q f \cdot ((\frac{x^{2}}{2}) - (l column \cdot \frac{x}{2})))

Example

-452.4375 N*m = - (1500 N \cdot 12 mm) + (0.005 MPa \cdot ((\frac{{35 mm}^{2}}{2}) - (5000 mm \cdot \frac{35 mm}{2})))

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

STEP 0: Pre-Calculation Summary

Formula Used

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)))
M_b = -(P_axial*δ)+(q_f*(((x^2)/2)-(l_column*x/2)))
This formula uses 6 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.
Axial Thrust - (Measured in Newton) - The Axial Thrust is the resultant force of all the axial forces (F) acting on the object or material.
Deflection at Section - (Measured in Meter) - Deflection at Section is the lateral displacement at the section of the column.
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.

STEP 1: Convert Input(s) to Base Unit

Axial Thrust: 1500 Newton --> 1500 Newton No Conversion Required
Deflection at Section: 12 Millimeter --> 0.012 Meter (Check conversion here)
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)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_b = -(P_axial*δ)+(q_f*(((x^2)/2)-(l_column*x/2))) --> -(1500*0.012)+(5000*(((0.035^2)/2)-(5*0.035/2)))

Evaluating ... ...

M_b = -452.4375

STEP 3: Convert Result to Output's Unit

-452.4375 Newton Meter --> No Conversion Required

FINAL ANSWER

-452.4375 Newton Meter <-- Bending Moment in Column

(Calculation completed in 00.020 seconds)

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< Strut Subjected to Compressive Axial Thrust and a Transverse Uniformly Distributed Load Calculators

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

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))

Bending moment 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 in order to push the object against a platform in a particular direction.

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

Bending moment at section for strut subjected to compressive axial and uniformly distributed load calculator uses 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))) to calculate the Bending Moment in Column, The Bending moment at section for strut subjected to compressive axial and uniformly distributed load formula is defined as 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 is denoted by M_b symbol.

How to calculate Bending moment at section for strut subjected to compressive axial and uniformly distributed load using this online calculator? To use this online calculator for Bending moment at section for strut subjected to compressive axial and uniformly distributed load, enter Axial Thrust (P_axial), Deflection at Section (δ), Load Intensity (q_f), Distance of deflection from end A (x) & Column Length (l_column) and hit the calculate button. Here is how the Bending moment at section for strut subjected to compressive axial and uniformly distributed load calculation can be explained with given input values -> -452.4375 = -(1500*0.012)+(5000*(((0.035^2)/2)-(5*0.035/2))).

FAQ

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

The Bending moment at section for strut subjected to compressive axial and uniformly distributed load formula is defined as the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend and is represented as M_b = -(P_axial*δ)+(q_f*(((x^2)/2)-(l_column*x/2))) or 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))). The Axial Thrust is the resultant force of all the axial forces (F) acting on the object or material, Deflection at Section is the lateral displacement at the section of the column, 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.

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

The Bending moment at section for strut subjected to compressive axial and uniformly distributed load formula is defined as the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend is calculated using 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))). To calculate Bending moment at section for strut subjected to compressive axial and uniformly distributed load, you need Axial Thrust (P_axial), Deflection at Section (δ), Load Intensity (q_f), Distance of deflection from end A (x) & Column Length (l_column). With our tool, you need to enter the respective value for Axial Thrust, Deflection at Section, Load Intensity, Distance of deflection from end A & Column Length 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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