Load Intensity given Maximum Bending Moment for Strut subjected to Uniformly Distributed Load Solution

STEP 0: Pre-Calculation Summary
Formula Used
Load Intensity = (-(Axial Thrust*Maximum Initial Deflection)-Maximum Bending Moment In Column)*8/((Column Length^2))
qf = (-(Paxial*C)-M)*8/((lcolumn^2))
This formula uses 5 Variables
Variables Used
Load Intensity - (Measured in Pascal) - Load Intensity is the distribution of load over a certain area or length of a structural element.
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.
Maximum Initial Deflection - (Measured in Meter) - Maximum Initial Deflection is the greatest amount of displacement or bending that occurs in a mechanical structure or component when a load is first applied.
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.
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
Maximum Initial Deflection: 30 Millimeter --> 0.03 Meter (Check conversion ​here)
Maximum Bending Moment In Column: 16 Newton Meter --> 16 Newton Meter No Conversion Required
Column Length: 5000 Millimeter --> 5 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
qf = (-(Paxial*C)-M)*8/((lcolumn^2)) --> (-(1500*0.03)-16)*8/((5^2))
Evaluating ... ...
qf = -19.52
STEP 3: Convert Result to Output's Unit
-19.52 Pascal -->-1.952E-05 Megapascal (Check conversion ​here)
FINAL ANSWER
-1.952E-05 -2E-5 Megapascal <-- Load Intensity
(Calculation completed in 00.020 seconds)

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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 Maximum Bending Moment for Strut subjected to Uniformly Distributed Load Formula

​LaTeX ​Go
Load Intensity = (-(Axial Thrust*Maximum Initial Deflection)-Maximum Bending Moment In Column)*8/((Column Length^2))
qf = (-(Paxial*C)-M)*8/((lcolumn^2))

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 Load Intensity given Maximum Bending Moment for Strut subjected to Uniformly Distributed Load?

Load Intensity given Maximum Bending Moment for Strut subjected to Uniformly Distributed Load calculator uses Load Intensity = (-(Axial Thrust*Maximum Initial Deflection)-Maximum Bending Moment In Column)*8/((Column Length^2)) to calculate the Load Intensity, The Load Intensity given Maximum 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 value for structural integrity and safety assessments. Load Intensity is denoted by qf symbol.

How to calculate Load Intensity given Maximum Bending Moment for Strut subjected to Uniformly Distributed Load using this online calculator? To use this online calculator for Load Intensity given Maximum Bending Moment for Strut subjected to Uniformly Distributed Load, enter Axial Thrust (Paxial), Maximum Initial Deflection (C), Maximum Bending Moment In Column (M) & Column Length (lcolumn) and hit the calculate button. Here is how the Load Intensity given Maximum Bending Moment for Strut subjected to Uniformly Distributed Load calculation can be explained with given input values -> -2E-11 = (-(1500*0.03)-16)*8/((5^2)).

FAQ

What is Load Intensity given Maximum Bending Moment for Strut subjected to Uniformly Distributed Load?
The Load Intensity given Maximum 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 value for structural integrity and safety assessments and is represented as qf = (-(Paxial*C)-M)*8/((lcolumn^2)) or Load Intensity = (-(Axial Thrust*Maximum Initial Deflection)-Maximum Bending Moment In Column)*8/((Column Length^2)). 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, Maximum Initial Deflection is the greatest amount of displacement or bending that occurs in a mechanical structure or component when a load is first applied, Maximum Bending Moment In Column is the highest amount of bending force that a column experiences due to applied loads, either axial or eccentric & 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 Maximum Bending Moment for Strut subjected to Uniformly Distributed Load?
The Load Intensity given Maximum 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 value for structural integrity and safety assessments is calculated using Load Intensity = (-(Axial Thrust*Maximum Initial Deflection)-Maximum Bending Moment In Column)*8/((Column Length^2)). To calculate Load Intensity given Maximum Bending Moment for Strut subjected to Uniformly Distributed Load, you need Axial Thrust (Paxial), Maximum Initial Deflection (C), Maximum Bending Moment In Column (M) & Column Length (lcolumn). With our tool, you need to enter the respective value for Axial Thrust, Maximum Initial Deflection, Maximum Bending Moment In Column & 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 Axial Thrust, Maximum Initial Deflection, Maximum Bending Moment In Column & 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 = 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)
  • 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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