Value of Load for Cantilever Beam with Point Load at Free End 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 Attached to Free End of Constraint is the force or weight applied to the free end of a beam, affecting its structural integrity and stability.ⓘ Value of Load for Cantilever Beam with Point Load at Free End [W_a]

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Value of Load for Cantilever Beam with Point Load at Free End Solution

STEP 0: Pre-Calculation Summary

Formula Used

Load Attached to Free End of Constraint = (3*Static Deflection*Young's Modulus*Moment of Inertia of Beam)/(Beam Length^3*[g])
W_a = (3*δ*E*I)/(L_b^3*[g])
This formula uses 1 Constants, 5 Variables

Constants Used

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

Variables Used

Load Attached to Free End of Constraint - (Measured in Kilogram) - Load Attached to Free End of Constraint is the force or weight applied to the free end of a beam, affecting its structural integrity and stability.
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_a = (3*δ*E*I)/(L_b^3*[g]) --> (3*0.072*15*6)/(4.8^3*[g])

Evaluating ... ...

W_a = 0.0179246990562526

STEP 3: Convert Result to Output's Unit

0.0179246990562526 Kilogram --> No Conversion Required

FINAL ANSWER

0.0179246990562526 ≈ 0.017925 Kilogram <-- Load Attached to Free End of Constraint

(Calculation completed in 00.004 seconds)

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< Load for Various Types of Beams and Load Conditions Calculators

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Value of Load for Cantilever Beam with Point Load at Free End Formula

LaTeX Go

Load Attached to Free End of Constraint = (3*Static Deflection*Young's Modulus*Moment of Inertia of Beam)/(Beam Length^3*[g])
W_a = (3*δ*E*I)/(L_b^3*[g])

What is Cantilever Beam?

A cantilever beam is a structural element that is fixed at one end and free at the other. It can carry loads along its length and is capable of resisting bending moments, shear forces, and deflection. Cantilever beams are commonly used in overhanging structures like balconies, bridges, and building extensions.

How to Calculate Value of Load for Cantilever Beam with Point Load at Free End?

Value of Load for Cantilever Beam with Point Load at Free End calculator uses Load Attached to Free End of Constraint = (3*Static Deflection*Young's Modulus*Moment of Inertia of Beam)/(Beam Length^3*[g]) to calculate the Load Attached to Free End of Constraint, Value of Load for Cantilever Beam with Point Load at Free End formula is defined as the maximum weight or force that a cantilever beam can withstand when a point load is applied at its free end, considering factors such as beam length, material properties, and gravitational forces. Load Attached to Free End of Constraint is denoted by W_a symbol.

How to calculate Value of Load for Cantilever Beam with Point Load at Free End using this online calculator? To use this online calculator for Value of Load for Cantilever Beam with Point Load at Free End, 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 Point Load at Free End calculation can be explained with given input values -> 0.017925 = (3*0.072*15*6)/(4.8^3*[g]).

FAQ

What is Value of Load for Cantilever Beam with Point Load at Free End?

Value of Load for Cantilever Beam with Point Load at Free End formula is defined as the maximum weight or force that a cantilever beam can withstand when a point load is applied at its free end, considering factors such as beam length, material properties, and gravitational forces and is represented as W_a = (3*δ*E*I)/(L_b^3*[g]) or Load Attached to Free End of Constraint = (3*Static Deflection*Young's Modulus*Moment of Inertia of Beam)/(Beam Length^3*[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 Point Load at Free End?

Value of Load for Cantilever Beam with Point Load at Free End formula is defined as the maximum weight or force that a cantilever beam can withstand when a point load is applied at its free end, considering factors such as beam length, material properties, and gravitational forces is calculated using Load Attached to Free End of Constraint = (3*Static Deflection*Young's Modulus*Moment of Inertia of Beam)/(Beam Length^3*[g]). To calculate Value of Load for Cantilever Beam with Point Load at Free End, 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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