Length of Fixed Beam with Eccentric Point Load Calculator

✖Eccentric Point Load for Fixed Beam is the length of a beam under eccentric point load, varying with beam type and load conditions.ⓘ Eccentric Point Load for Fixed Beam [w_e]			+10% -10%
✖Distance of Load from One End is the length of a beam measured from one end, considering various types of beams and load conditions.ⓘ Distance of Load from One End [a]			+10% -10%
✖Distance of Load from Other End is the length of a beam measured from the point of load application to the other end of the beam under various load conditions.ⓘ Distance of Load from Other End [b]			+10% -10%
✖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%

✖Length of Fixed Beam is the distance of a fixed beam under various load conditions, used to determine the beam's stability and structural integrity.ⓘ Length of Fixed Beam with Eccentric Point Load [L_FB]

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Length of Fixed Beam with Eccentric Point Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
L_FB = (w_e*a^3*b^3)/(3*E*I*δ)
This formula uses 7 Variables

Variables Used

Length of Fixed Beam - (Measured in Meter) - Length of Fixed Beam is the distance of a fixed beam under various load conditions, used to determine the beam's stability and structural integrity.
Eccentric Point Load for Fixed Beam - (Measured in Kilogram) - Eccentric Point Load for Fixed Beam is the length of a beam under eccentric point load, varying with beam type and load conditions.
Distance of Load from One End - (Measured in Meter) - Distance of Load from One End is the length of a beam measured from one end, considering various types of beams and load conditions.
Distance of Load from Other End - (Measured in Meter) - Distance of Load from Other End is the length of a beam measured from the point of load application to the other end of the beam under various 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.

STEP 1: Convert Input(s) to Base Unit

Eccentric Point Load for Fixed Beam: 0.648 Kilogram --> 0.648 Kilogram No Conversion Required
Distance of Load from One End: 4 Meter --> 4 Meter No Conversion Required
Distance of Load from Other End: 1.4 Meter --> 1.4 Meter No Conversion Required
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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_FB = (w_e*a^3*b^3)/(3*E*I*δ) --> (0.648*4^3*1.4^3)/(3*15*6*0.072)

Evaluating ... ...

L_FB = 5.85386666666667

STEP 3: Convert Result to Output's Unit

5.85386666666667 Meter --> No Conversion Required

FINAL ANSWER

5.85386666666667 ≈ 5.853867 Meter <-- Length of Fixed 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 Fixed Beam with Eccentric Point Load Formula

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What is Eccentric Point Load?

An eccentric point load is a load applied at a point on a beam or structure, but not aligned with its central axis or neutral axis. This off-center application creates both bending and twisting effects, as the load induces a moment in addition to the vertical force. Eccentric point loads result in uneven stress distribution and can lead to complex structural behavior, requiring careful analysis and design to prevent instability or failure in the structure. They are commonly encountered in real-world applications where loads are not perfectly centered.

How to Calculate Length of Fixed Beam with Eccentric Point Load?

Length of Fixed Beam with Eccentric Point Load calculator uses 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) to calculate the Length of Fixed Beam, The Length of Fixed Beam with Eccentric Point Load formula is simply the total length of the member. Length of Fixed Beam is denoted by L_FB symbol.

How to calculate Length of Fixed Beam with Eccentric Point Load using this online calculator? To use this online calculator for Length of Fixed Beam with Eccentric Point Load, enter Eccentric Point Load for Fixed Beam (w_e), Distance of Load from One End (a), Distance of Load from Other End (b), Young's Modulus (E), Moment of Inertia of Beam (I) & Static Deflection (δ) and hit the calculate button. Here is how the Length of Fixed Beam with Eccentric Point Load calculation can be explained with given input values -> 5.8629 = (0.648*4^3*1.4^3)/(3*15*6*0.072).

FAQ

What is Length of Fixed Beam with Eccentric Point Load?

The Length of Fixed Beam with Eccentric Point Load formula is simply the total length of the member and is represented as L_FB = (w_e*a^3*b^3)/(3*E*I*δ) or 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). Eccentric Point Load for Fixed Beam is the length of a beam under eccentric point load, varying with beam type and load conditions, Distance of Load from One End is the length of a beam measured from one end, considering various types of beams and load conditions, Distance of Load from Other End is the length of a beam measured from the point of load application to the other end of the beam under various load conditions, 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.

How to calculate Length of Fixed Beam with Eccentric Point Load?

The Length of Fixed Beam with Eccentric Point Load formula is simply the total length of the member is calculated using 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). To calculate Length of Fixed Beam with Eccentric Point Load, you need Eccentric Point Load for Fixed Beam (w_e), Distance of Load from One End (a), Distance of Load from Other End (b), Young's Modulus (E), Moment of Inertia of Beam (I) & Static Deflection (δ). With our tool, you need to enter the respective value for Eccentric Point Load for Fixed Beam, Distance of Load from One End, Distance of Load from Other End, Young's Modulus, Moment of Inertia of Beam & Static Deflection 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 Fixed Beam?

In this formula, Length of Fixed Beam uses Eccentric Point Load for Fixed Beam, Distance of Load from One End, Distance of Load from Other End, Young's Modulus, Moment of Inertia of Beam & Static Deflection. We can use 2 other way(s) to calculate the same, which is/are as follows -

Length of Fixed Beam = ((384*Young's Modulus*Moment of Inertia of Beam*Static Deflection)/(Load in Fixed Beam))^(1/4)
Length of Fixed Beam = ((192*Young's Modulus*Moment of Inertia of Beam*Static Deflection)/(Central Point Load))^(1/3)

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