Eccentric Point Load for Fixed Beam Solution

STEP 0: Pre-Calculation Summary
Formula Used
Eccentric point load = (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])
we = (3*δ*E*I*Lbeam)/(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 - (Measured in Kilogram) - Eccentric point load is basically defined as the load whose line of action does not pass through the axis of the column.
Static Deflection - (Measured in Meter) - Static deflection is the extension or compression of the constraint.
Young's Modulus - (Measured in Newton per Meter) - Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.
Moment of Inertia of Beam - (Measured in Meter⁴ per Meter) - Moment of Inertia of Beam is a quantitative measure of the rotational inertia of a body.
Beam Length - (Measured in Meter) - Beam Length is the center to center distance between the supports or the effective length of the beam.
Distance of load from one end - (Measured in Meter) - Distance of load from one end is a numerical measurement of how far apart objects or points are.
Distance of load from other end - (Measured in Meter) - Distance of load from other end is a numerical measurement of how far apart objects or points are.
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: 4800 Millimeter --> 4.8 Meter (Check conversion here)
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
we = (3*δ*E*I*Lbeam)/(a^3*b^3*[g]) --> (3*0.072*15*6*4.8)/(4^3*1.4^3*[g])
Evaluating ... ...
we = 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
(Calculation completed in 00.004 seconds)

Credits

Created by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
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Verified by Dipto Mandal
Indian Institute of Information Technology (IIIT), Guwahati
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8 Load for Various Types of Beams and Load Conditions Calculators

Eccentric Point Load for Simply Supported Beam
Go Eccentric point load = (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])
Eccentric Point Load for Fixed Beam
Go Eccentric point load = (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 Cantilever Beam with Point Load at Free End
Go Load Attached to Free End of Constraint = (3*Static Deflection*Young's Modulus*Moment of Inertia of Beam)/(Beam Length^3*[g])
Value of Load for Simply Supported Beam with Uniformly Distributed Load
Go Load per unit length = (384*Static Deflection*Young's Modulus*Moment of Inertia of Beam)/(5*Beam Length^4*[g])
Value of Load for Cantilever Beam with Uniformly Distributed Load
Go Load per unit length = (8*Static Deflection*Young's Modulus*Moment of Inertia of Beam)/(Beam Length^4*[g])
Value of Load for Simply Supported Beam with Central Point Load
Go Central point load = (48*Static Deflection*Young's Modulus*Moment of Inertia of Beam)/(Beam Length^3*[g])
Value of Load for Fixed Beam with Uniformly Distributed Load
Go Load per unit length = (384*Static Deflection*Young's Modulus*Moment of Inertia of Beam)/(Beam Length^4)
Value of Load for Fixed Beam with Central Point Load
Go Central point load = (192*Static Deflection*Young's Modulus*Moment of Inertia of Beam)/(Beam Length^3)

Eccentric Point Load for Fixed Beam Formula

Eccentric point load = (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])
we = (3*δ*E*I*Lbeam)/(a^3*b^3*[g])

What does beam means?

A beam is a structural element that primarily resists loads applied laterally to the beam's axis. Its mode of deflection is primarily by bending. Beams are characterized by their manner of support, profile (shape of cross-section), equilibrium conditions, length, and their material.

How to Calculate Eccentric Point Load for Fixed Beam?

Eccentric Point Load for Fixed Beam calculator uses Eccentric point load = (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, The Eccentric Point Load for Fixed Beam formula is defined as structural loads or actions which are forces, deformations, or accelerations applied to structural components. Eccentric point load is denoted by we 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 (Lbeam), 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?
The Eccentric Point Load for Fixed Beam formula is defined as structural loads or actions which are forces, deformations, or accelerations applied to structural components and is represented as we = (3*δ*E*I*Lbeam)/(a^3*b^3*[g]) or Eccentric point load = (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 extension or compression of the constraint, Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain, Moment of Inertia of Beam is a quantitative measure of the rotational inertia of a body, Beam Length is the center to center distance between the supports or the effective length of the beam, Distance of load from one end is a numerical measurement of how far apart objects or points are & Distance of load from other end is a numerical measurement of how far apart objects or points are.
How to calculate Eccentric Point Load for Fixed Beam?
The Eccentric Point Load for Fixed Beam formula is defined as structural loads or actions which are forces, deformations, or accelerations applied to structural components is calculated using Eccentric point load = (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 (Lbeam), 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.
How many ways are there to calculate Eccentric point load?
In this formula, Eccentric point load uses Static Deflection, Young's Modulus, Moment of Inertia of Beam, Beam Length, Distance of load from one end & Distance of load from other end. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Eccentric point load = (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])
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