Value of Load for Cantilever Beam with Uniformly Distributed Load Solution

STEP 0: Pre-Calculation Summary
Formula Used
Load per unit length = (8*Static Deflection*Young's Modulus*Moment of Inertia of Beam)/(Beam Length^4*[g])
w = (8*δ*E*I)/(Lbeam^4*[g])
This formula uses 1 Constants, 5 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Variables Used
Load per unit length - Load per unit length is the distributed load which is spread over a surface or line.
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.
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)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
w = (8*δ*E*I)/(Lbeam^4*[g]) --> (8*0.072*15*6)/(4.8^4*[g])
Evaluating ... ...
w = 0.00995816614236258
STEP 3: Convert Result to Output's Unit
0.00995816614236258 --> No Conversion Required
FINAL ANSWER
0.00995816614236258 0.009958 <-- Load per unit length
(Calculation completed in 00.004 seconds)

Credits

Created by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
Anshika Arya has created this Calculator and 2000+ more calculators!
Verified by Dipto Mandal
Indian Institute of Information Technology (IIIT), Guwahati
Dipto Mandal has verified this Calculator and 400+ more calculators!

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)

Value of Load for Cantilever Beam with Uniformly Distributed Load Formula

Load per unit length = (8*Static Deflection*Young's Modulus*Moment of Inertia of Beam)/(Beam Length^4*[g])
w = (8*δ*E*I)/(Lbeam^4*[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 Value of Load for Cantilever Beam with Uniformly Distributed Load?

Value of Load for Cantilever Beam with Uniformly Distributed Load calculator uses Load per unit length = (8*Static Deflection*Young's Modulus*Moment of Inertia of Beam)/(Beam Length^4*[g]) to calculate the Load per unit length, The Value of load for Cantilever beam with uniformly distributed load formula is defined as structural loads or actions which are forces, deformations, or accelerations applied to structural components. Load per unit length is denoted by w symbol.

How to calculate Value of Load for Cantilever Beam with Uniformly Distributed Load using this online calculator? To use this online calculator for Value of Load for Cantilever Beam with Uniformly Distributed Load, enter Static Deflection (δ), Young's Modulus (E), Moment of Inertia of Beam (I) & Beam Length (Lbeam) and hit the calculate button. Here is how the Value of Load for Cantilever Beam with Uniformly Distributed Load calculation can be explained with given input values -> 0.009958 = (8*0.072*15*6)/(4.8^4*[g]).

FAQ

What is Value of Load for Cantilever Beam with Uniformly Distributed Load?
The Value of load for Cantilever beam with uniformly distributed load formula is defined as structural loads or actions which are forces, deformations, or accelerations applied to structural components and is represented as w = (8*δ*E*I)/(Lbeam^4*[g]) or Load per unit length = (8*Static Deflection*Young's Modulus*Moment of Inertia of Beam)/(Beam Length^4*[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.
How to calculate Value of Load for Cantilever Beam with Uniformly Distributed Load?
The Value of load for Cantilever beam with uniformly distributed load formula is defined as structural loads or actions which are forces, deformations, or accelerations applied to structural components is calculated using Load per unit length = (8*Static Deflection*Young's Modulus*Moment of Inertia of Beam)/(Beam Length^4*[g]). To calculate Value of Load for Cantilever Beam with Uniformly Distributed Load, you need Static Deflection (δ), Young's Modulus (E), Moment of Inertia of Beam (I) & Beam Length (Lbeam). 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.
How many ways are there to calculate Load per unit length?
In this formula, Load per unit length uses Static Deflection, Young's Modulus, Moment of Inertia of Beam & Beam Length. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Load per unit length = (384*Static Deflection*Young's Modulus*Moment of Inertia of Beam)/(Beam Length^4)
  • Load per unit length = (384*Static Deflection*Young's Modulus*Moment of Inertia of Beam)/(5*Beam Length^4*[g])
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!