Static Deflection for Simply Supported Beam with Uniformly Distributed Load Calculator

✖Load per unit length is the amount of load applied per unit length of a beam, used to calculate static deflection under various load conditions.ⓘ Load per unit Length [w]			+10% -10%
✖Length of Simply Supported Beam is the maximum downward displacement of a beam under various load conditions, providing insight into its structural integrity.ⓘ Length of Simply Supported Beam [L_SS]			+10% -10%
✖Young's Modulus is a measure of the stiffness of a solid material and is used to calculate the static deflection of beams under various load conditions.ⓘ Young's Modulus [E]			+10% -10%
✖Polar Moment of Inertia is a measure of an object's resistance to torsion, used to calculate static deflection in beams under various load conditions.ⓘ Polar Moment of Inertia [J]			+10% -10%

✖Static Deflection is the maximum displacement of a beam from its original position under various load conditions and types of beams.ⓘ Static Deflection for Simply Supported Beam with Uniformly Distributed Load [δ]

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Static Deflection for Simply Supported Beam with Uniformly Distributed Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

Static Deflection = (5*Load per unit Length*Length of Simply Supported Beam^4)/(384*Young's Modulus*Polar Moment of Inertia)
δ = (5*w*L_SS^4)/(384*E*J)
This formula uses 5 Variables

Variables Used

Static Deflection - (Measured in Meter) - Static Deflection is the maximum displacement of a beam from its original position under various load conditions and types of beams.
Load per unit Length - Load per unit length is the amount of load applied per unit length of a beam, used to calculate static deflection under various load conditions.
Length of Simply Supported Beam - (Measured in Meter) - Length of Simply Supported Beam is the maximum downward displacement of a beam under various load conditions, providing insight into its structural integrity.
Young's Modulus - (Measured in Newton per Meter) - Young's Modulus is a measure of the stiffness of a solid material and is used to calculate the static deflection of beams under various load conditions.
Polar Moment of Inertia - (Measured in Meter⁴) - Polar Moment of Inertia is a measure of an object's resistance to torsion, used to calculate static deflection in beams under various load conditions.

STEP 1: Convert Input(s) to Base Unit

Load per unit Length: 0.81 --> No Conversion Required
Length of Simply Supported Beam: 2.6 Meter --> 2.6 Meter No Conversion Required
Young's Modulus: 15 Newton per Meter --> 15 Newton per Meter No Conversion Required
Polar Moment of Inertia: 0.455 Meter⁴ --> 0.455 Meter⁴ No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

δ = (5*w*L_SS^4)/(384*E*J) --> (5*0.81*2.6^4)/(384*15*0.455)

Evaluating ... ...

δ = 0.0706178571428572

STEP 3: Convert Result to Output's Unit

0.0706178571428572 Meter --> No Conversion Required

FINAL ANSWER

0.0706178571428572 ≈ 0.070618 Meter <-- Static Deflection

(Calculation completed in 00.020 seconds)

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National Institute Of Technology (NIT), Hamirpur

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< Values of static deflection for the various types of beams and under various load conditions Calculators

Static Deflection for Simply Supported Beam with Eccentric Point Load

LaTeX Go Static Deflection = (Eccentric Point Load*Distance of Load from One End^2*Distance of Load from Other End^2)/(3*Young's Modulus*Moment of Inertia of Beam*Length of Simply Supported Beam)

Static Deflection for Cantilever Beam with Point Load at Free End

LaTeX Go Static Deflection = (Load Attached to Free End of Constraint*Length of Cantilever Beam^3)/(3*Young's Modulus*Moment of Inertia of Beam)

Static Deflection for Simply Supported Beam with Central Point Load

LaTeX Go Static Deflection = (Central Point Load*Length of Simply Supported Beam^3)/(48*Young's Modulus*Moment of Inertia of Beam)

Static Deflection for Cantilever Beam with Uniformly Distributed Load

LaTeX Go Static Deflection = (Load per unit Length*Length of Cantilever Beam^4)/(8*Young's Modulus*Moment of Inertia of Beam)

Static Deflection for Simply Supported Beam with Uniformly Distributed Load Formula

LaTeX Go

Static Deflection = (5*Load per unit Length*Length of Simply Supported Beam^4)/(384*Young's Modulus*Polar Moment of Inertia)
δ = (5*w*L_SS^4)/(384*E*J)

What is Static Deflection?

Static deflection refers to the displacement or bending of a structure or component under a steady, unchanging load. It occurs when the load causes the structure to deform without any motion involved. The amount of deflection depends on factors like the material properties, load magnitude, and structure's geometry. Static deflection helps engineers assess how much a structure bends under normal, constant conditions.

How to Calculate Static Deflection for Simply Supported Beam with Uniformly Distributed Load?

Static Deflection for Simply Supported Beam with Uniformly Distributed Load calculator uses Static Deflection = (5*Load per unit Length*Length of Simply Supported Beam^4)/(384*Young's Modulus*Polar Moment of Inertia) to calculate the Static Deflection, Static Deflection for Simply Supported Beam with Uniformly Distributed Load formula is defined as a measure of the maximum displacement of a simply supported beam under a uniformly distributed load, providing insight into the beam's structural integrity and ability to withstand external forces. Static Deflection is denoted by δ symbol.

How to calculate Static Deflection for Simply Supported Beam with Uniformly Distributed Load using this online calculator? To use this online calculator for Static Deflection for Simply Supported Beam with Uniformly Distributed Load, enter Load per unit Length (w), Length of Simply Supported Beam (L_SS), Young's Modulus (E) & Polar Moment of Inertia (J) and hit the calculate button. Here is how the Static Deflection for Simply Supported Beam with Uniformly Distributed Load calculation can be explained with given input values -> 0.001397 = (5*0.81*2.6^4)/(384*15*0.455).

FAQ

What is Static Deflection for Simply Supported Beam with Uniformly Distributed Load?

Static Deflection for Simply Supported Beam with Uniformly Distributed Load formula is defined as a measure of the maximum displacement of a simply supported beam under a uniformly distributed load, providing insight into the beam's structural integrity and ability to withstand external forces and is represented as δ = (5*w*L_SS^4)/(384*E*J) or Static Deflection = (5*Load per unit Length*Length of Simply Supported Beam^4)/(384*Young's Modulus*Polar Moment of Inertia). Load per unit length is the amount of load applied per unit length of a beam, used to calculate static deflection under various load conditions, Length of Simply Supported Beam is the maximum downward displacement of a beam under various load conditions, providing insight into its structural integrity, Young's Modulus is a measure of the stiffness of a solid material and is used to calculate the static deflection of beams under various load conditions & Polar Moment of Inertia is a measure of an object's resistance to torsion, used to calculate static deflection in beams under various load conditions.

How to calculate Static Deflection for Simply Supported Beam with Uniformly Distributed Load?

Static Deflection for Simply Supported Beam with Uniformly Distributed Load formula is defined as a measure of the maximum displacement of a simply supported beam under a uniformly distributed load, providing insight into the beam's structural integrity and ability to withstand external forces is calculated using Static Deflection = (5*Load per unit Length*Length of Simply Supported Beam^4)/(384*Young's Modulus*Polar Moment of Inertia). To calculate Static Deflection for Simply Supported Beam with Uniformly Distributed Load, you need Load per unit Length (w), Length of Simply Supported Beam (L_SS), Young's Modulus (E) & Polar Moment of Inertia (J). With our tool, you need to enter the respective value for Load per unit Length, Length of Simply Supported Beam, Young's Modulus & Polar Moment of Inertia 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 Static Deflection?

In this formula, Static Deflection uses Load per unit Length, Length of Simply Supported Beam, Young's Modulus & Polar Moment of Inertia. We can use 3 other way(s) to calculate the same, which is/are as follows -

Static Deflection = (Load Attached to Free End of Constraint*Length of Cantilever Beam^3)/(3*Young's Modulus*Moment of Inertia of Beam)
Static Deflection = (Load per unit Length*Length of Cantilever Beam^4)/(8*Young's Modulus*Moment of Inertia of Beam)
Static Deflection = (Central Point Load*Length of Simply Supported Beam^3)/(48*Young's Modulus*Moment of Inertia of Beam)

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