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Length of beam for fixed beam with a uniformly distributed load Solution

STEP 0: Pre-Calculation Summary
Formula Used
length_of_beam = ((384*Young's Modulus*Moment of inertia of the beam*Static deflection)/(Load per unit length))^(1/4)
L = ((384*E*I*δ)/(w))^(1/4)
This formula uses 4 Variables
Variables Used
Young's Modulus - Young's Modulus which can also be called elastic modulus is a mechanical property of linear elastic solid substances. It describes the relationship between stress (force per unit area) and strain (proportional deformation in an object). (Measured in Gigapascal)
Moment of inertia of the beam - Moment of inertia of the beam is quantitative measure of the rotational inertia of a body. (Measured in Kilogram Meter²)
Static deflection - Static deflection extension or compression of the constraint. (Measured in Meter)
Load per unit length- Load per unit length is the distributed load which is spread over a surface or line.
STEP 1: Convert Input(s) to Base Unit
Young's Modulus: 100 Gigapascal --> 100000000000 Pascal (Check conversion here)
Moment of inertia of the beam: 6 Kilogram Meter² --> 6 Kilogram Meter² No Conversion Required
Static deflection: 2 Meter --> 2 Meter No Conversion Required
Load per unit length: 3 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
L = ((384*E*I*δ)/(w))^(1/4) --> ((384*100000000000*6*2)/(3))^(1/4)
Evaluating ... ...
L = 3520.44694717357
STEP 3: Convert Result to Output's Unit
3520.44694717357 Meter -->11550.022792518 Foot (Check conversion here)
FINAL ANSWER
11550.022792518 Foot <-- Length of the Beam
(Calculation completed in 00.016 seconds)

8 Values of length of beam for the various types of beams and under various load conditions Calculators

Length of beam for simply supported beam with an eccentric point load
length_of_beam = (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 the beam*Static deflection) Go
Length of beam for fixed beam with an eccentric point load
length_of_beam = (Eccentric point load*(Distance of load from one end^3)*(Distance of load from other end^3))/(3*Young's Modulus*Moment of inertia of the beam*Static deflection) Go
Length of beam for cantilever beam with a point load at the free end
length_of_beam = ((3*Young's Modulus*Moment of inertia of the beam*Static deflection)/(Load attached to the free end of constraint))^(1/3) Go
Length of beam for Simply supported beam with a uniformly distributed load
length_of_beam = ((384*Young's Modulus*Moment of inertia of the beam*Static deflection)/(5*Load per unit length))^(1/4) Go
Length of beam for fixed beam with a uniformly distributed load
length_of_beam = ((384*Young's Modulus*Moment of inertia of the beam*Static deflection)/(Load per unit length))^(1/4) Go
Length of beam for cantilever beam with a uniformly distributed load
length_of_beam = ((8*Young's Modulus*Moment of inertia of the beam*Static deflection)/(Load per unit length))^(1/4) Go
Length of beam for fixed beam with a central point load
length_of_beam = ((192*Young's Modulus*Moment of inertia of the beam*Static deflection)/(Central point load))^(1/3) Go
Length of beam for simply supported beam with a central point load
length_of_beam = ((48*Young's Modulus*Moment of inertia of the beam*Static deflection)/(Central point load))^(1/3) Go

Length of beam for fixed beam with a uniformly distributed load Formula

length_of_beam = ((384*Young's Modulus*Moment of inertia of the beam*Static deflection)/(Load per unit length))^(1/4)
L = ((384*E*I*δ)/(w))^(1/4)

What is beam and column?

Communally a horizontal member of a structure that resists transverse load is called a beam. Communally a vertical member of a structure that resists axial/eccentric load is called a column. Beam is basically carried or resists bending and shear force. Column is basically carried or resists compression load.

How to Calculate Length of beam for fixed beam with a uniformly distributed load?

Length of beam for fixed beam with a uniformly distributed load calculator uses length_of_beam = ((384*Young's Modulus*Moment of inertia of the beam*Static deflection)/(Load per unit length))^(1/4) to calculate the Length of the Beam, The Length of beam for fixed beam with a uniformly distributed load formula is simply the total length of the member. Length of the Beam and is denoted by L symbol.

How to calculate Length of beam for fixed beam with a uniformly distributed load using this online calculator? To use this online calculator for Length of beam for fixed beam with a uniformly distributed load, enter Young's Modulus (E), Moment of inertia of the beam (I), Static deflection (δ) and Load per unit length (w) and hit the calculate button. Here is how the Length of beam for fixed beam with a uniformly distributed load calculation can be explained with given input values -> 11550.02 = ((384*100000000000*6*2)/(3))^(1/4).

FAQ

What is Length of beam for fixed beam with a uniformly distributed load?
The Length of beam for fixed beam with a uniformly distributed load formula is simply the total length of the member and is represented as L = ((384*E*I*δ)/(w))^(1/4) or length_of_beam = ((384*Young's Modulus*Moment of inertia of the beam*Static deflection)/(Load per unit length))^(1/4). Young's Modulus which can also be called elastic modulus is a mechanical property of linear elastic solid substances. It describes the relationship between stress (force per unit area) and strain (proportional deformation in an object), Moment of inertia of the beam is quantitative measure of the rotational inertia of a body, Static deflection extension or compression of the constraint and Load per unit length is the distributed load which is spread over a surface or line.
How to calculate Length of beam for fixed beam with a uniformly distributed load?
The Length of beam for fixed beam with a uniformly distributed load formula is simply the total length of the member is calculated using length_of_beam = ((384*Young's Modulus*Moment of inertia of the beam*Static deflection)/(Load per unit length))^(1/4). To calculate Length of beam for fixed beam with a uniformly distributed load, you need Young's Modulus (E), Moment of inertia of the beam (I), Static deflection (δ) and Load per unit length (w). With our tool, you need to enter the respective value for Young's Modulus, Moment of inertia of the beam, Static deflection and Load per unit length 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 Length of the Beam?
In this formula, Length of the Beam uses Young's Modulus, Moment of inertia of the beam, Static deflection and Load per unit length. We can use 8 other way(s) to calculate the same, which is/are as follows -
  • length_of_beam = ((384*Young's Modulus*Moment of inertia of the beam*Static deflection)/(Load per unit length))^(1/4)
  • length_of_beam = ((192*Young's Modulus*Moment of inertia of the beam*Static deflection)/(Central point load))^(1/3)
  • length_of_beam = (Eccentric point load*(Distance of load from one end^3)*(Distance of load from other end^3))/(3*Young's Modulus*Moment of inertia of the beam*Static deflection)
  • length_of_beam = ((384*Young's Modulus*Moment of inertia of the beam*Static deflection)/(5*Load per unit length))^(1/4)
  • length_of_beam = ((48*Young's Modulus*Moment of inertia of the beam*Static deflection)/(Central point load))^(1/3)
  • length_of_beam = (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 the beam*Static deflection)
  • length_of_beam = ((8*Young's Modulus*Moment of inertia of the beam*Static deflection)/(Load per unit length))^(1/4)
  • length_of_beam = ((3*Young's Modulus*Moment of inertia of the beam*Static deflection)/(Load attached to the free end of constraint))^(1/3)
Where is the Length of beam for fixed beam with a uniformly distributed load calculator used?
Among many, Length of beam for fixed beam with a uniformly distributed load calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}
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