Value of Load for Cantilever Beam with Uniformly Distributed Load 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%

✖Load For Cantilever Beam is the force or weight applied to a cantilever beam, causing bending and deflection, typically at the free end.ⓘ Value of Load for Cantilever Beam with Uniformly Distributed Load [W_c]

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Value of Load for Cantilever Beam with Uniformly Distributed Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

Load For Cantilever Beam = (8*Static Deflection*Young's Modulus*Moment of Inertia of Beam)/(Beam Length^4*[g])
W_c = (8*δ*E*I)/(L_b^4*[g])
This formula uses 1 Constants, 5 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Variables Used

Load For Cantilever Beam - Load For Cantilever Beam is the force or weight applied to a cantilever beam, causing bending and deflection, typically at the free end.
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

W_c = (8*δ*E*I)/(L_b^4*[g]) --> (8*0.072*15*6)/(4.8^4*[g])

Evaluating ... ...

W_c = 0.00995816614236258

STEP 3: Convert Result to Output's Unit

0.00995816614236258 --> No Conversion Required

FINAL ANSWER

0.00995816614236258 ≈ 0.009958 <-- Load For Cantilever Beam

(Calculation completed in 00.004 seconds)

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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 Cantilever Beam with Uniformly Distributed Load Formula

LaTeX Go

Load For Cantilever Beam = (8*Static Deflection*Young's Modulus*Moment of Inertia of Beam)/(Beam Length^4*[g])
W_c = (8*δ*E*I)/(L_b^4*[g])

What is Uniformly Distributed Load?

A uniformly distributed load (UDL) is a load that is spread evenly across the length of a structural element, such as a beam. Instead of being concentrated at one point, the load is applied continuously, creating an equal force per unit length. This type of load is common in construction, like when floors or roofs evenly distribute weight across supporting beams.

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 For Cantilever Beam = (8*Static Deflection*Young's Modulus*Moment of Inertia of Beam)/(Beam Length^4*[g]) to calculate the Load For Cantilever Beam, Value of Load for Cantilever Beam with Uniformly Distributed Load formula is defined as the maximum weight that a cantilever beam can withstand when subjected to a uniformly distributed load, taking into account the beam's length, material properties, and gravitational forces. Load For Cantilever Beam is denoted by W_c 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 (L_b) 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?

Value of Load for Cantilever Beam with Uniformly Distributed Load formula is defined as the maximum weight that a cantilever beam can withstand when subjected to a uniformly distributed load, taking into account the beam's length, material properties, and gravitational forces and is represented as W_c = (8*δ*E*I)/(L_b^4*[g]) or Load For Cantilever Beam = (8*Static Deflection*Young's Modulus*Moment of Inertia of Beam)/(Beam Length^4*[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.

How to calculate Value of Load for Cantilever Beam with Uniformly Distributed Load?

Value of Load for Cantilever Beam with Uniformly Distributed Load formula is defined as the maximum weight that a cantilever beam can withstand when subjected to a uniformly distributed load, taking into account the beam's length, material properties, and gravitational forces is calculated using Load For Cantilever Beam = (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 (L_b). 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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