Eccentric Point Load for Fixed 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 Fixed Beam is the load applied at a point on a fixed beam, causing bending and deflection of the beam.ⓘ Eccentric Point Load for Fixed Beam [w_f]

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Eccentric Point Load for Fixed Beam Solution

STEP 0: Pre-Calculation Summary

Formula Used

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])
w_f = (3*δ*E*I*L_b)/(a^3*b^3*[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 Fixed Beam - (Measured in Kilogram) - Eccentric Point Load For Fixed Beam is the load applied at a point on a fixed beam, causing bending and deflection of the beam.
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_f = (3*δ*E*I*L_b)/(a^3*b^3*[g]) --> (3*0.072*15*6*4.8)/(4^3*1.4^3*[g])

Evaluating ... ...

w_f = 0.0541817142318447

STEP 3: Convert Result to Output's Unit

0.0541817142318447 Kilogram --> No Conversion Required

FINAL ANSWER

0.0541817142318447 ≈ 0.054182 Kilogram <-- Eccentric Point Load For Fixed Beam

(Calculation completed in 00.004 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 Fixed Beam Formula

LaTeX Go

What is Eccentric Point Load?

An eccentric point load is a load applied at a point that is not directly along the center of a structural element, such as a beam or column. This causes bending or torsion in addition to compression or tension. The offset from the centerline creates uneven stress distribution, potentially leading to instability or structural deformation.

How to Calculate Eccentric Point Load for Fixed Beam?

Eccentric Point Load for Fixed Beam calculator uses 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]) to calculate the Eccentric Point Load For Fixed Beam, Eccentric Point Load for Fixed Beam formula is defined as a measure of the load applied at a point on a fixed beam, taking into account the beam's length, modulus of elasticity, moment of inertia, and the distance of the load from the beam's supports, to determine the maximum stress and deflection of the beam under various load conditions. Eccentric Point Load For Fixed Beam is denoted by w_f symbol.

How to calculate Eccentric Point Load for Fixed Beam using this online calculator? To use this online calculator for Eccentric Point Load for Fixed 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 Fixed Beam calculation can be explained with given input values -> 0.054182 = (3*0.072*15*6*4.8)/(4^3*1.4^3*[g]).

FAQ

What is Eccentric Point Load for Fixed Beam?

Eccentric Point Load for Fixed Beam formula is defined as a measure of the load applied at a point on a fixed beam, taking into account the beam's length, modulus of elasticity, moment of inertia, and the distance of the load from the beam's supports, to determine the maximum stress and deflection of the beam under various load conditions and is represented as w_f = (3*δ*E*I*L_b)/(a^3*b^3*[g]) or 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]). 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 Fixed Beam?

Eccentric Point Load for Fixed Beam formula is defined as a measure of the load applied at a point on a fixed beam, taking into account the beam's length, modulus of elasticity, moment of inertia, and the distance of the load from the beam's supports, to determine the maximum stress and deflection of the beam under various load conditions is calculated using 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]). To calculate Eccentric Point Load for Fixed 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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