Load intensity given maximum bending moment for strut subjected to 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%
✖Maximum initial deflection is the degree to which a structural element is displaced under a load.ⓘ Maximum initial deflection [C]			+10% -10%
✖Maximum Bending Moment In Column is the absolute value of the maximum moment in the unbraced beam segment.ⓘ Maximum Bending Moment In Column [M]			+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 defined as load applied per unit area.ⓘ Load intensity given maximum bending moment for strut subjected to uniformly distributed load [q_f]

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Formula

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

Formula

q f = (- (P axial \cdot C) - M) \cdot \frac{8}{({l column}^{2})}

Example

-2E-5 MPa = (- (1500 N \cdot 30 mm) - 16 N*m) \cdot \frac{8}{({5000 mm}^{2})}

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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))
q_f = (-(P_axial*C)-M)*8/((l_column^2))
This formula uses 5 Variables

Variables Used

Load Intensity - (Measured in Pascal) - Load Intensity is defined as load applied per unit area.
Axial Thrust - (Measured in Newton) - The Axial Thrust is the resultant force of all the axial forces (F) acting on the object or material.
Maximum initial deflection - (Measured in Meter) - Maximum initial deflection is the degree to which a structural element is displaced under a load.
Maximum Bending Moment In Column - (Measured in Newton Meter) - Maximum Bending Moment In Column is the absolute value of the maximum moment in the unbraced beam segment.
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

q_f = (-(P_axial*C)-M)*8/((l_column^2)) --> (-(1500*0.03)-16)*8/((5^2))

Evaluating ... ...

q_f = -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 00.004 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))

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

Load Intensity = (-(Axial Thrust*Maximum initial deflection)-Maximum Bending Moment In Column)*8/((Column Length^2))
q_f = (-(P_axial*C)-M)*8/((l_column^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 the intensity of loading is equal to the rate of change of bending moment with respect to x. Load Intensity is denoted by q_f 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 (P_axial), Maximum initial deflection (C), Maximum Bending Moment In Column (M) & Column Length (l_column) 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 the intensity of loading is equal to the rate of change of bending moment with respect to x and is represented as q_f = (-(P_axial*C)-M)*8/((l_column^2)) or Load Intensity = (-(Axial Thrust*Maximum initial deflection)-Maximum Bending Moment In Column)*8/((Column Length^2)). The Axial Thrust is the resultant force of all the axial forces (F) acting on the object or material, Maximum initial deflection is the degree to which a structural element is displaced under a load, Maximum Bending Moment In Column is the absolute value of the maximum moment in the unbraced beam segment & 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 the intensity of loading is equal to the rate of change of bending moment with respect to x 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 (P_axial), Maximum initial deflection (C), Maximum Bending Moment In Column (M) & Column Length (l_column). 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))/(((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 Column*Moment of Inertia Column/Axial Thrust)*((sec((Column Length/2)*(Axial Thrust/(Modulus of Elasticity Column*Moment of Inertia Column))))-1)
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)))

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