Eccentric Point Load for Simply Supported Beam Calculator

✖Static Deflection is the maximum displacement of a beam under various types of loads and load conditions, affecting its structural integrity and stability.ⓘ Static Deflection [δ]			+10% -10%
✖Young's Modulus is a measure of the stiffness of a solid material and is used to predict the amount of deformation under a given load.ⓘ Young's Modulus [E]			+10% -10%
✖Moment of Inertia of Beam is a measure of the beam's resistance to bending under various types of loads and load conditions, influencing its structural integrity.ⓘ Moment of Inertia of Beam [I]			+10% -10%
✖Beam Length is the horizontal distance between two supports of a beam, used to calculate loads and stresses on various types of beams under different load conditions.ⓘ Beam Length [L_b]			+10% -10%
✖Distance of Load From One End is the horizontal distance of the load from one end of the beam, used to calculate beam deflection and stress.ⓘ Distance of Load From One End [a]			+10% -10%
✖Distance of Load From Other End is the horizontal distance from the load to the other end of the beam, considering various types of beams and load conditions.ⓘ Distance of Load From Other End [b]			+10% -10%

✖Eccentric Point Load For Simply Supported Beam is a type of load applied at a point on a simply supported beam, causing bending and deflection.ⓘ Eccentric Point Load for Simply Supported Beam [w_s]

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Eccentric Point Load for Simply Supported Beam Solution

STEP 0: Pre-Calculation Summary

Formula Used

Eccentric Point Load For Simply Supported Beam = (3*Static Deflection*Young's Modulus*Moment of Inertia of Beam*Beam Length)/(Distance of Load From One End^2*Distance of Load From Other End^2*[g])
w_s = (3*δ*E*I*L_b)/(a^2*b^2*[g])
This formula uses 1 Constants, 7 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Variables Used

Eccentric Point Load For Simply Supported Beam - Eccentric Point Load For Simply Supported Beam is a type of load applied at a point on a simply supported beam, causing bending and deflection.
Static Deflection - (Measured in Meter) - Static Deflection is the maximum displacement of a beam under various types of loads and load conditions, affecting its structural integrity and stability.
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 predict the amount of deformation under a given load.
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 types of loads and load conditions, influencing its structural integrity.
Beam Length - (Measured in Meter) - Beam Length is the horizontal distance between two supports of a beam, used to calculate loads and stresses on various types of beams under different load conditions.
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, used to calculate beam deflection and stress.
Distance of Load From Other End - (Measured in Meter) - Distance of Load From Other End is the horizontal distance from the load to the other end of the beam, considering various types of beams and load conditions.

STEP 1: Convert Input(s) to Base Unit

Static Deflection: 0.072 Meter --> 0.072 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
Beam Length: 4.8 Meter --> 4.8 Meter 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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

w_s = (3*δ*E*I*L_b)/(a^2*b^2*[g]) --> (3*0.072*15*6*4.8)/(4^2*1.4^2*[g])

Evaluating ... ...

w_s = 0.30341759969833

STEP 3: Convert Result to Output's Unit

0.30341759969833 --> No Conversion Required

FINAL ANSWER

0.30341759969833 ≈ 0.303418 <-- Eccentric Point Load For Simply Supported Beam

(Calculation completed in 00.008 seconds)

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National Institute Of Technology (NIT), Hamirpur

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< Load for Various Types of Beams and Load Conditions Calculators

Eccentric Point Load for Fixed Beam

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

Value of Load for Simply Supported Beam with Uniformly Distributed Load

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

Value of Load for Fixed Beam with Central Point Load

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

Value of Load for Fixed Beam with Uniformly Distributed Load

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

Eccentric Point Load for Simply Supported Beam Formula

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What is Simply Supported Beam?

A simply supported beam is a structural element supported at both ends, typically by hinges or rollers, allowing it to freely rotate but not move horizontally. It can resist vertical forces but not moments, meaning it bends under load. This type of beam is common in bridges, buildings, and other structures where simple support conditions are required.

How to Calculate Eccentric Point Load for Simply Supported Beam?

Eccentric Point Load for Simply Supported Beam calculator uses Eccentric Point Load For Simply Supported Beam = (3*Static Deflection*Young's Modulus*Moment of Inertia of Beam*Beam Length)/(Distance of Load From One End^2*Distance of Load From Other End^2*[g]) to calculate the Eccentric Point Load For Simply Supported Beam, Eccentric Point Load for Simply Supported Beam formula is defined as a measure of the load applied at a point on a simply supported beam, which is eccentric to the beam's longitudinal axis, causing bending and deflection of the beam, and is used to calculate the maximum stress and deflection of the beam under various load conditions. Eccentric Point Load For Simply Supported Beam is denoted by w_s symbol.

How to calculate Eccentric Point Load for Simply Supported Beam using this online calculator? To use this online calculator for Eccentric Point Load for Simply Supported Beam, enter Static Deflection (δ), Young's Modulus (E), Moment of Inertia of Beam (I), Beam Length (L_b), Distance of Load From One End (a) & Distance of Load From Other End (b) and hit the calculate button. Here is how the Eccentric Point Load for Simply Supported Beam calculation can be explained with given input values -> 0.303418 = (3*0.072*15*6*4.8)/(4^2*1.4^2*[g]).

FAQ

What is Eccentric Point Load for Simply Supported Beam?

Eccentric Point Load for Simply Supported Beam formula is defined as a measure of the load applied at a point on a simply supported beam, which is eccentric to the beam's longitudinal axis, causing bending and deflection of the beam, and is used to calculate the maximum stress and deflection of the beam under various load conditions and is represented as w_s = (3*δ*E*I*L_b)/(a^2*b^2*[g]) or Eccentric Point Load For Simply Supported Beam = (3*Static Deflection*Young's Modulus*Moment of Inertia of Beam*Beam Length)/(Distance of Load From One End^2*Distance of Load From Other End^2*[g]). Static Deflection is the maximum displacement of a beam under various types of loads and load conditions, affecting its structural integrity and stability, Young's Modulus is a measure of the stiffness of a solid material and is used to predict the amount of deformation under a given load, Moment of Inertia of Beam is a measure of the beam's resistance to bending under various types of loads and load conditions, influencing its structural integrity, Beam Length is the horizontal distance between two supports of a beam, used to calculate loads and stresses on various types of beams under different load conditions, Distance of Load From One End is the horizontal distance of the load from one end of the beam, used to calculate beam deflection and stress & Distance of Load From Other End is the horizontal distance from the load to the other end of the beam, considering various types of beams and load conditions.

How to calculate Eccentric Point Load for Simply Supported Beam?

Eccentric Point Load for Simply Supported Beam formula is defined as a measure of the load applied at a point on a simply supported beam, which is eccentric to the beam's longitudinal axis, causing bending and deflection of the beam, and is used to calculate the maximum stress and deflection of the beam under various load conditions is calculated using Eccentric Point Load For Simply Supported Beam = (3*Static Deflection*Young's Modulus*Moment of Inertia of Beam*Beam Length)/(Distance of Load From One End^2*Distance of Load From Other End^2*[g]). To calculate Eccentric Point Load for Simply Supported Beam, you need Static Deflection (δ), Young's Modulus (E), Moment of Inertia of Beam (I), Beam Length (L_b), Distance of Load From One End (a) & Distance of Load From Other End (b). With our tool, you need to enter the respective value for Static Deflection, Young's Modulus, Moment of Inertia of Beam, Beam Length, Distance of Load From One End & Distance of Load From Other End and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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