Static Deflection for Simply Supported Beam with Eccentric Point Load Calculator

✖Eccentric point load is the point on a beam where a load is applied at a distance from the beam's longitudinal axis.ⓘ Eccentric Point Load [w_e]			+10% -10%
✖Distance of load from one end is the horizontal distance of the load from one end of the beam, affecting the beam's static deflection under various load conditions.ⓘ Distance of Load from One End [a]			+10% -10%
✖Distance of load from other end is the horizontal distance from the point of application of load to the other end of the beam.ⓘ Distance of Load from Other End [b]			+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%
✖Moment of Inertia of Beam is a measure of the beam's resistance to bending under various load conditions, providing insight into its structural behavior.ⓘ Moment of Inertia of Beam [I]			+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%

✖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 Eccentric Point Load [δ]

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Static Deflection for Simply Supported Beam with Eccentric Point Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
δ = (w_e*a^2*b^2)/(3*E*I*L_SS)
This formula uses 7 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.
Eccentric Point Load - (Measured in Kilogram) - Eccentric point load is the point on a beam where a load is applied at a distance from the beam's longitudinal axis.
Distance of Load from One End - (Measured in Meter) - Distance of load from one end is the horizontal distance of the load from one end of the beam, affecting the beam's static deflection under various load conditions.
Distance of Load from Other End - (Measured in Meter) - Distance of load from other end is the horizontal distance from the point of application of load to the other end of the beam.
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.
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, providing insight into its structural behavior.
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.

STEP 1: Convert Input(s) to Base Unit

Eccentric Point Load: 5.4 Kilogram --> 5.4 Kilogram No Conversion Required
Distance of Load from One End: 2.16 Meter --> 2.16 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
Length of Simply Supported Beam: 2.6 Meter --> 2.6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

δ = (w_e*a^2*b^2)/(3*E*I*L_SS) --> (5.4*2.16^2*1.4^2)/(3*15*6*2.6)

Evaluating ... ...

δ = 0.0703428923076923

STEP 3: Convert Result to Output's Unit

0.0703428923076923 Meter --> No Conversion Required

FINAL ANSWER

0.0703428923076923 ≈ 0.070343 Meter <-- Static Deflection

(Calculation completed in 00.004 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 Eccentric Point Load Formula

LaTeX Go

What is Eccentric Point Load?

An eccentric point load is a load applied at a point on a beam or structure that is not aligned with its center or neutral axis. This causes both bending and twisting, creating uneven stress distribution. Eccentric loads can lead to more complex structural behavior, requiring careful design to ensure stability. They're often seen in situations where the load is off-center or away from the main support axis.

How to Calculate Static Deflection for Simply Supported Beam with Eccentric Point Load?

Static Deflection for Simply Supported Beam with Eccentric Point Load calculator uses 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) to calculate the Static Deflection, Static Deflection for Simply Supported Beam with Eccentric Point Load formula is defined as a measure of the maximum displacement of a simply supported beam under an eccentric point load, providing insight into the beam's response to external loads and its structural integrity. Static Deflection is denoted by δ symbol.

How to calculate Static Deflection for Simply Supported Beam with Eccentric Point Load using this online calculator? To use this online calculator for Static Deflection for Simply Supported Beam with Eccentric Point Load, enter Eccentric Point Load (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) & Length of Simply Supported Beam (L_SS) and hit the calculate button. Here is how the Static Deflection for Simply Supported Beam with Eccentric Point Load calculation can be explained with given input values -> 0.036578 = (5.4*2.16^2*1.4^2)/(3*15*6*2.6).

FAQ

What is Static Deflection for Simply Supported Beam with Eccentric Point Load?

Static Deflection for Simply Supported Beam with Eccentric Point Load formula is defined as a measure of the maximum displacement of a simply supported beam under an eccentric point load, providing insight into the beam's response to external loads and its structural integrity and is represented as δ = (w_e*a^2*b^2)/(3*E*I*L_SS) or 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). Eccentric point load is the point on a beam where a load is applied at a distance from the beam's longitudinal axis, Distance of load from one end is the horizontal distance of the load from one end of the beam, affecting the beam's static deflection under various load conditions, Distance of load from other end is the horizontal distance from the point of application of load to the other end of the beam, 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, Moment of Inertia of Beam is a measure of the beam's resistance to bending under various load conditions, providing insight into its structural behavior & Length of Simply Supported Beam is the maximum downward displacement of a beam under various load conditions, providing insight into its structural integrity.

How to calculate Static Deflection for Simply Supported Beam with Eccentric Point Load?

Static Deflection for Simply Supported Beam with Eccentric Point Load formula is defined as a measure of the maximum displacement of a simply supported beam under an eccentric point load, providing insight into the beam's response to external loads and its structural integrity is calculated using 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). To calculate Static Deflection for Simply Supported Beam with Eccentric Point Load, you need Eccentric Point Load (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) & Length of Simply Supported Beam (L_SS). With our tool, you need to enter the respective value for Eccentric Point Load, Distance of Load from One End, Distance of Load from Other End, Young's Modulus, Moment of Inertia of Beam & Length of 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 Static Deflection?

In this formula, Static Deflection uses Eccentric Point Load, Distance of Load from One End, Distance of Load from Other End, Young's Modulus, Moment of Inertia of Beam & Length of Simply Supported Beam. 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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