Load Intensity given Max Bending Moment for Strut Subjected to Uniformly Distributed Load Calculator

✖Maximum Bending Moment In Column is the highest amount of bending force that a column experiences due to applied loads, either axial or eccentric.ⓘ Maximum Bending Moment In Column [M]			+10% -10%
✖Modulus of Elasticity of Column is a quantity that measures column's resistance to being deformed elastically when stress is applied to it.ⓘ Modulus of Elasticity of Column [ε_column]			+10% -10%
✖Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis.ⓘ Moment of Inertia [I]			+10% -10%
✖Axial Thrust is the force exerted along the axis of a shaft in mechanical systems. It occurs when there is an imbalance of forces that acts in the direction parallel to the axis of rotation.ⓘ Axial Thrust [P_axial]			+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%

✖Load Intensity is the distribution of load over a certain area or length of a structural element.ⓘ Load Intensity given Max Bending Moment for Strut Subjected to Uniformly Distributed Load [q_f]

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Load Intensity given Max Bending Moment for Strut Subjected to Uniformly Distributed Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

Load Intensity = Maximum Bending Moment In Column/(Modulus of Elasticity of Column*Moment of Inertia/Axial Thrust)*((sec((Column Length/2)*(Axial Thrust/(Modulus of Elasticity of Column*Moment of Inertia))))-1)
q_f = M/(ε_column*I/P_axial)*((sec((l_column/2)*(P_axial/(ε_column*I))))-1)
This formula uses 1 Functions, 6 Variables

Functions Used

sec - Secant is a trigonometric function that is defined ratio of the hypotenuse to the shorter side adjacent to an acute angle (in a right-angled triangle); the reciprocal of a cosine., sec(Angle)

Variables Used

Load Intensity - (Measured in Pascal) - Load Intensity is the distribution of load over a certain area or length of a structural element.
Maximum Bending Moment In Column - (Measured in Newton Meter) - Maximum Bending Moment In Column is the highest amount of bending force that a column experiences due to applied loads, either axial or eccentric.
Modulus of Elasticity of Column - (Measured in Pascal) - Modulus of Elasticity of Column is a quantity that measures column's resistance to being deformed elastically when stress is applied to it.
Moment of Inertia - (Measured in Meter⁴) - Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis.
Axial Thrust - (Measured in Newton) - Axial Thrust is the force exerted along the axis of a shaft in mechanical systems. It occurs when there is an imbalance of forces that acts in the direction parallel to the axis of rotation.
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

Maximum Bending Moment In Column: 16 Newton Meter --> 16 Newton Meter No Conversion Required
Modulus of Elasticity of Column: 10.56 Megapascal --> 10560000 Pascal (Check conversion here)
Moment of Inertia: 5600 Centimeter⁴ --> 5.6E-05 Meter⁴ (Check conversion here)
Axial Thrust: 1500 Newton --> 1500 Newton No Conversion Required
Column Length: 5000 Millimeter --> 5 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

q_f = M/(ε_column*I/P_axial)*((sec((l_column/2)*(P_axial/(ε_column*I))))-1) --> 16/(10560000*5.6E-05/1500)*((sec((5/2)*(1500/(10560000*5.6E-05))))-1)

Evaluating ... ...

q_f = 0.0686651316157676

STEP 3: Convert Result to Output's Unit

0.0686651316157676 Pascal -->6.86651316157676E-08 Megapascal (Check conversion here)

FINAL ANSWER

6.86651316157676E-08 ≈ 6.9E-8 Megapascal <-- Load Intensity

(Calculation completed in 00.005 seconds)

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Home » Physics » Strength of Materials » Column And Struts » Strut With Lateral Load » Mechanical » Strut Subjected to Compressive Axial Thrust and a Transverse Uniformly Distributed Load » Load Intensity given Max Bending Moment for Strut Subjected to Uniformly Distributed Load

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National Institute Of Technology (NIT), Hamirpur

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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

LaTeX Go Bending Moment in Column = -(Axial Thrust*Deflection at Section of Column)+(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

LaTeX Go Deflection at Section of Column = (-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

LaTeX 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 of Column

Load Intensity for Strut Subjected to Compressive Axial and Uniformly Distributed Load

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

Load Intensity given Max Bending Moment for Strut Subjected to Uniformly Distributed Load Formula

LaTeX Go

What is Maximum Bending Stress?

Maximum Bending Stress refers to the highest stress experienced at the extreme fibers (top or bottom) of a beam's cross-section when it is subjected to bending moments. It occurs at points where the bending moment is greatest along the beam. The stress results from the bending moment applied to the beam, which creates a distribution of stress across its depth, with the maximum values occurring farthest from the neutral axis.

How to Calculate Load Intensity given Max Bending Moment for Strut Subjected to Uniformly Distributed Load?

Load Intensity given Max Bending Moment for Strut Subjected to Uniformly Distributed Load calculator uses Load Intensity = Maximum Bending Moment In Column/(Modulus of Elasticity of Column*Moment of Inertia/Axial Thrust)*((sec((Column Length/2)*(Axial Thrust/(Modulus of Elasticity of Column*Moment of Inertia))))-1) to calculate the Load Intensity, The Load Intensity given Max bending Moment for Strut Subjected to Uniformly Distributed Load formula is defined as a measure of the maximum load that a strut can withstand without failing, considering the compressive axial thrust and transverse uniformly distributed load, providing a critical safety parameter in structural design and analysis. Load Intensity is denoted by q_f symbol.

How to calculate Load Intensity given Max Bending Moment for Strut Subjected to Uniformly Distributed Load using this online calculator? To use this online calculator for Load Intensity given Max Bending Moment for Strut Subjected to Uniformly Distributed Load, enter Maximum Bending Moment In Column (M), Modulus of Elasticity of Column (ε_column), Moment of Inertia (I), Axial Thrust (P_axial) & Column Length (l_column) and hit the calculate button. Here is how the Load Intensity given Max Bending Moment for Strut Subjected to Uniformly Distributed Load calculation can be explained with given input values -> 6.9E-14 = 16/(10560000*5.6E-05/1500)*((sec((5/2)*(1500/(10560000*5.6E-05))))-1).

FAQ

What is Load Intensity given Max Bending Moment for Strut Subjected to Uniformly Distributed Load?

The Load Intensity given Max bending Moment for Strut Subjected to Uniformly Distributed Load formula is defined as a measure of the maximum load that a strut can withstand without failing, considering the compressive axial thrust and transverse uniformly distributed load, providing a critical safety parameter in structural design and analysis and is represented as q_f = M/(ε_column*I/P_axial)*((sec((l_column/2)*(P_axial/(ε_column*I))))-1) or Load Intensity = Maximum Bending Moment In Column/(Modulus of Elasticity of Column*Moment of Inertia/Axial Thrust)*((sec((Column Length/2)*(Axial Thrust/(Modulus of Elasticity of Column*Moment of Inertia))))-1). Maximum Bending Moment In Column is the highest amount of bending force that a column experiences due to applied loads, either axial or eccentric, Modulus of Elasticity of Column is a quantity that measures column's resistance to being deformed elastically when stress is applied to it, Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis, Axial Thrust is the force exerted along the axis of a shaft in mechanical systems. It occurs when there is an imbalance of forces that acts in the direction parallel to the axis of rotation & 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 Load Intensity given Max Bending Moment for Strut Subjected to Uniformly Distributed Load?

The Load Intensity given Max bending Moment for Strut Subjected to Uniformly Distributed Load formula is defined as a measure of the maximum load that a strut can withstand without failing, considering the compressive axial thrust and transverse uniformly distributed load, providing a critical safety parameter in structural design and analysis is calculated using Load Intensity = Maximum Bending Moment In Column/(Modulus of Elasticity of Column*Moment of Inertia/Axial Thrust)*((sec((Column Length/2)*(Axial Thrust/(Modulus of Elasticity of Column*Moment of Inertia))))-1). To calculate Load Intensity given Max Bending Moment for Strut Subjected to Uniformly Distributed Load, you need Maximum Bending Moment In Column (M), Modulus of Elasticity of Column (ε_column), Moment of Inertia (I), Axial Thrust (P_axial) & Column Length (l_column). With our tool, you need to enter the respective value for Maximum Bending Moment In Column, Modulus of Elasticity of Column, Moment of Inertia, Axial Thrust & Column Length 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 Load Intensity?

In this formula, Load Intensity uses Maximum Bending Moment In Column, Modulus of Elasticity of Column, Moment of Inertia, Axial Thrust & Column Length. We can use 3 other way(s) to calculate the same, which is/are as follows -

Load Intensity = (Bending Moment in Column+(Axial Thrust*Deflection at Section of Column))/(((Distance of Deflection from End A^2)/2)-(Column Length*Distance of Deflection from End A/2))
Load Intensity = (-(Axial Thrust*Maximum Initial Deflection)-Maximum Bending Moment In Column)*8/((Column Length^2))
Load Intensity = Maximum Initial Deflection/((1*(Modulus of Elasticity of Column*Moment of Inertia/(Axial Thrust^2))*((sec((Column Length/2)*(Axial Thrust/(Modulus of Elasticity of Column*Moment of Inertia))))-1))-(1*(Column Length^2)/(8*Axial Thrust)))

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