Value of Load for Fixed Beam with Uniformly Distributed Load Solution

STEP 0: Pre-Calculation Summary
Formula Used
Load For Fixed Beam = (384*Static Deflection*Young's Modulus*Moment of Inertia of Beam)/(Beam Length^4)
Wf = (384*δ*E*I)/(Lb^4)
This formula uses 5 Variables
Variables Used
Load For Fixed Beam - Load For Fixed Beam is the force applied perpendicularly to a fixed beam, causing deformation and stress, under various load conditions and beam types.
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.
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
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Wf = (384*δ*E*I)/(Lb^4) --> (384*0.072*15*6)/(4.8^4)
Evaluating ... ...
Wf = 4.6875
STEP 3: Convert Result to Output's Unit
4.6875 --> No Conversion Required
FINAL ANSWER
4.6875 <-- 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)

Value of Load for Fixed Beam with Uniformly Distributed Load Formula

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

What is Beam?

A beam is a structural element designed to support loads, primarily by resisting bending. It is typically horizontal and used in construction to support floors, roofs, or bridges. Beams transfer the applied load to columns or walls and can come in various types like simply supported, cantilever, and fixed beams, depending on their support conditions.

How to Calculate Value of Load for Fixed Beam with Uniformly Distributed Load?

Value of Load for Fixed Beam with Uniformly Distributed Load calculator uses Load For Fixed Beam = (384*Static Deflection*Young's Modulus*Moment of Inertia of Beam)/(Beam Length^4) to calculate the Load For Fixed Beam, Value of Load for Fixed Beam with Uniformly Distributed Load formula is defined as the maximum load that a fixed beam with a uniform distribution of load can withstand without deforming or breaking, taking into account the beam's material properties and dimensions. Load For Fixed Beam is denoted by Wf symbol.

How to calculate Value of Load for Fixed Beam with Uniformly Distributed Load using this online calculator? To use this online calculator for Value of Load for Fixed Beam with Uniformly Distributed Load, enter Static Deflection (δ), Young's Modulus (E), Moment of Inertia of Beam (I) & Beam Length (Lb) and hit the calculate button. Here is how the Value of Load for Fixed Beam with Uniformly Distributed Load calculation can be explained with given input values -> 4.6875 = (384*0.072*15*6)/(4.8^4).

FAQ

What is Value of Load for Fixed Beam with Uniformly Distributed Load?
Value of Load for Fixed Beam with Uniformly Distributed Load formula is defined as the maximum load that a fixed beam with a uniform distribution of load can withstand without deforming or breaking, taking into account the beam's material properties and dimensions and is represented as Wf = (384*δ*E*I)/(Lb^4) or Load For Fixed Beam = (384*Static Deflection*Young's Modulus*Moment of Inertia of Beam)/(Beam Length^4). 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.
How to calculate Value of Load for Fixed Beam with Uniformly Distributed Load?
Value of Load for Fixed Beam with Uniformly Distributed Load formula is defined as the maximum load that a fixed beam with a uniform distribution of load can withstand without deforming or breaking, taking into account the beam's material properties and dimensions is calculated using Load For Fixed Beam = (384*Static Deflection*Young's Modulus*Moment of Inertia of Beam)/(Beam Length^4). To calculate Value of Load for Fixed Beam with Uniformly Distributed Load, you need Static Deflection (δ), Young's Modulus (E), Moment of Inertia of Beam (I) & Beam Length (Lb). With our tool, you need to enter the respective value for Static Deflection, Young's Modulus, Moment of Inertia of Beam & Beam Length 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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