Length of Beam for Simply Supported Beam with Uniformly Distributed Load Calculator

✖Young's Modulus is a measure of the stiffness of a solid material, used to calculate the length of a beam under various load conditions and beam types.ⓘ Young's Modulus [E]			+10% -10%
✖Moment of Inertia of Beam is a measure of the beam's resistance to bending under various load conditions, depending on its length and type.ⓘ Moment of Inertia of Beam [I]			+10% -10%
✖Static Deflection is the maximum displacement of a beam from its original position under various load conditions, providing values for different types of beams.ⓘ Static Deflection [δ]			+10% -10%
✖Load in Simply Supported Beam is the force or weight applied to a beam that is supported at both ends, affecting its length under various load conditions.ⓘ Load in Simply Supported Beam [w_SSB]			+10% -10%

✖Length of Simply Supported Beam is the distance of a beam between its supports, varying with types of beams and load conditions.ⓘ Length of Beam for Simply Supported Beam with Uniformly Distributed Load [L_SSB]

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Length of Beam for Simply Supported Beam with Uniformly Distributed Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Simply Supported Beam = ((384*Young's Modulus*Moment of Inertia of Beam*Static Deflection)/(5*Load in Simply Supported Beam))^(1/4)
L_SSB = ((384*E*I*δ)/(5*w_SSB))^(1/4)
This formula uses 5 Variables

Variables Used

Length of Simply Supported Beam - (Measured in Meter) - Length of Simply Supported Beam is the distance of a beam between its supports, varying with types of beams and load conditions.
Young's Modulus - (Measured in Newton per Meter) - Young's Modulus is a measure of the stiffness of a solid material, used to calculate the length of a beam under various load conditions and beam types.
Moment of Inertia of Beam - (Measured in Meter⁴ per Meter) - Moment of Inertia of Beam is a measure of the beam's resistance to bending under various load conditions, depending on its length and type.
Static Deflection - (Measured in Meter) - Static Deflection is the maximum displacement of a beam from its original position under various load conditions, providing values for different types of beams.
Load in Simply Supported Beam - Load in Simply Supported Beam is the force or weight applied to a beam that is supported at both ends, affecting its length under various load conditions.

STEP 1: Convert Input(s) to Base Unit

Young's Modulus: 15 Newton per Meter --> 15 Newton per Meter No Conversion Required
Moment of Inertia of Beam: 6 Meter⁴ per Meter --> 6 Meter⁴ per Meter No Conversion Required
Static Deflection: 0.072 Meter --> 0.072 Meter No Conversion Required
Load in Simply Supported Beam: 2.9 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_SSB = ((384*E*I*δ)/(5*w_SSB))^(1/4) --> ((384*15*6*0.072)/(5*2.9))^(1/4)

Evaluating ... ...

L_SSB = 3.61938312327439

STEP 3: Convert Result to Output's Unit

3.61938312327439 Meter --> No Conversion Required

FINAL ANSWER

3.61938312327439 ≈ 3.619383 Meter <-- Length of Simply Supported Beam

(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur

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< Values of length of beam for the various types of beams and under various load conditions Calculators

Length of Fixed Beam with Eccentric Point Load

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

Length of Beam for Simply Supported Beam with Uniformly Distributed Load

LaTeX Go Length of Simply Supported Beam = ((384*Young's Modulus*Moment of Inertia of Beam*Static Deflection)/(5*Load in Simply Supported Beam))^(1/4)

Length of Beam for Fixed Beam with Uniformly Distributed Load

LaTeX Go Length of Fixed Beam = ((384*Young's Modulus*Moment of Inertia of Beam*Static Deflection)/(Load in Fixed Beam))^(1/4)

Length of Beam for Fixed Beam with Central Point Load

LaTeX Go Length of Fixed Beam = ((192*Young's Modulus*Moment of Inertia of Beam*Static Deflection)/(Central Point Load))^(1/3)

Length of Beam for Simply Supported Beam with Uniformly Distributed Load Formula

LaTeX Go

Length of Simply Supported Beam = ((384*Young's Modulus*Moment of Inertia of Beam*Static Deflection)/(5*Load in Simply Supported Beam))^(1/4)
L_SSB = ((384*E*I*δ)/(5*w_SSB))^(1/4)

What is Load in Beam?

Load in a beam refers to the external forces or weights applied to the beam, causing it to bend, deflect, or experience stress. These loads can come in various forms, such as point loads, distributed loads, or varying loads, and they act along the length of the beam. The load's magnitude, type, and position influence how the beam responds, affecting its bending moment, shear force, and deflection. Properly managing these loads is essential for ensuring the structural integrity and safety of beams in construction and engineering applications.

How to Calculate Length of Beam for Simply Supported Beam with Uniformly Distributed Load?

Length of Beam for Simply Supported Beam with Uniformly Distributed Load calculator uses Length of Simply Supported Beam = ((384*Young's Modulus*Moment of Inertia of Beam*Static Deflection)/(5*Load in Simply Supported Beam))^(1/4) to calculate the Length of Simply Supported Beam, The Length of beam for Simply supported beam with uniformly distributed load formula is simply the total length of the member. Length of Simply Supported Beam is denoted by L_SSB symbol.

How to calculate Length of Beam for Simply Supported Beam with Uniformly Distributed Load using this online calculator? To use this online calculator for Length of Beam for Simply Supported Beam with Uniformly Distributed Load, enter Young's Modulus (E), Moment of Inertia of Beam (I), Static Deflection (δ) & Load in Simply Supported Beam (w_SSB) and hit the calculate button. Here is how the Length of Beam for Simply Supported Beam with Uniformly Distributed Load calculation can be explained with given input values -> 3.588837 = ((384*15*6*0.072)/(5*2.9))^(1/4).

FAQ

What is Length of Beam for Simply Supported Beam with Uniformly Distributed Load?

The Length of beam for Simply supported beam with uniformly distributed load formula is simply the total length of the member and is represented as L_SSB = ((384*E*I*δ)/(5*w_SSB))^(1/4) or Length of Simply Supported Beam = ((384*Young's Modulus*Moment of Inertia of Beam*Static Deflection)/(5*Load in Simply Supported Beam))^(1/4). Young's Modulus is a measure of the stiffness of a solid material, used to calculate the length of a beam under various load conditions and beam types, Moment of Inertia of Beam is a measure of the beam's resistance to bending under various load conditions, depending on its length and type, Static Deflection is the maximum displacement of a beam from its original position under various load conditions, providing values for different types of beams & Load in Simply Supported Beam is the force or weight applied to a beam that is supported at both ends, affecting its length under various load conditions.

How to calculate Length of Beam for Simply Supported Beam with Uniformly Distributed Load?

The Length of beam for Simply supported beam with uniformly distributed load formula is simply the total length of the member is calculated using Length of Simply Supported Beam = ((384*Young's Modulus*Moment of Inertia of Beam*Static Deflection)/(5*Load in Simply Supported Beam))^(1/4). To calculate Length of Beam for Simply Supported Beam with Uniformly Distributed Load, you need Young's Modulus (E), Moment of Inertia of Beam (I), Static Deflection (δ) & Load in Simply Supported Beam (w_SSB). With our tool, you need to enter the respective value for Young's Modulus, Moment of Inertia of Beam, Static Deflection & Load in Simply Supported Beam 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 Length of Simply Supported Beam?

In this formula, Length of Simply Supported Beam uses Young's Modulus, Moment of Inertia of Beam, Static Deflection & Load in Simply Supported Beam. We can use 2 other way(s) to calculate the same, which is/are as follows -

Length of Simply Supported Beam = ((48*Young's Modulus*Moment of Inertia of Beam*Static Deflection)/(Central Point Load))^(1/3)
Length of Simply Supported Beam = (Eccentric Point Load for Simply Supported Beam*Distance of Load from One End^2*Distance of Load from Other End^2)/(3*Young's Modulus*Moment of Inertia of Beam*Static Deflection)

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