Static Deflection for Cantilever Beam with Point Load at Free End Calculator

✖Load Attached to Free End of Constraint is the force applied to the free end of a constraint in various beam types under different load conditions.ⓘ Load Attached to Free End of Constraint [W_attached]			+10% -10%
✖Length of Cantilever Beam is the maximum downward displacement of a cantilever beam under various load conditions, affecting its structural integrity and stability.ⓘ Length of Cantilever Beam [L_cant]			+10% -10%
✖Young's Modulus is a measure of the stiffness of a solid material and is used to calculate the static deflection of beams under various load conditions.ⓘ Young's Modulus [E]			+10% -10%
✖Moment of Inertia of Beam is a measure of the beam's resistance to bending under various load conditions, providing insight into its structural behavior.ⓘ Moment of Inertia of Beam [I]			+10% -10%

✖Static Deflection is the maximum displacement of a beam from its original position under various load conditions and types of beams.ⓘ Static Deflection for Cantilever Beam with Point Load at Free End [δ]

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Static Deflection for Cantilever Beam with Point Load at Free End Solution

STEP 0: Pre-Calculation Summary

Formula Used

Static Deflection = (Load Attached to Free End of Constraint*Length of Cantilever Beam^3)/(3*Young's Modulus*Moment of Inertia of Beam)
δ = (W_attached*L_cant^3)/(3*E*I)
This formula uses 5 Variables

Variables Used

Static Deflection - (Measured in Meter) - Static Deflection is the maximum displacement of a beam from its original position under various load conditions and types of beams.
Load Attached to Free End of Constraint - (Measured in Kilogram) - Load Attached to Free End of Constraint is the force applied to the free end of a constraint in various beam types under different load conditions.
Length of Cantilever Beam - (Measured in Meter) - Length of Cantilever Beam is the maximum downward displacement of a cantilever beam under various 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 calculate the static deflection of beams under various load conditions.
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 load conditions, providing insight into its structural behavior.

STEP 1: Convert Input(s) to Base Unit

Load Attached to Free End of Constraint: 0.153 Kilogram --> 0.153 Kilogram No Conversion Required
Length of Cantilever Beam: 5 Meter --> 5 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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

δ = (W_attached*L_cant^3)/(3*E*I) --> (0.153*5^3)/(3*15*6)

Evaluating ... ...

δ = 0.0708333333333333

STEP 3: Convert Result to Output's Unit

0.0708333333333333 Meter --> No Conversion Required

FINAL ANSWER

0.0708333333333333 ≈ 0.070833 Meter <-- Static Deflection

(Calculation completed in 00.004 seconds)

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< Values of static deflection for the various types of beams and under various load conditions Calculators

Static Deflection for Simply Supported Beam with Eccentric Point Load

LaTeX Go Static Deflection = (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 Beam*Length of Simply Supported Beam)

Static Deflection for Cantilever Beam with Point Load at Free End

LaTeX Go Static Deflection = (Load Attached to Free End of Constraint*Length of Cantilever Beam^3)/(3*Young's Modulus*Moment of Inertia of Beam)

Static Deflection for Simply Supported Beam with Central Point Load

LaTeX Go Static Deflection = (Central Point Load*Length of Simply Supported Beam^3)/(48*Young's Modulus*Moment of Inertia of Beam)

Static Deflection for Cantilever Beam with Uniformly Distributed Load

LaTeX Go Static Deflection = (Load per unit Length*Length of Cantilever Beam^4)/(8*Young's Modulus*Moment of Inertia of Beam)

Static Deflection for Cantilever Beam with Point Load at Free End Formula

LaTeX Go

Static Deflection = (Load Attached to Free End of Constraint*Length of Cantilever Beam^3)/(3*Young's Modulus*Moment of Inertia of Beam)
δ = (W_attached*L_cant^3)/(3*E*I)

What is the difference between Bending and Deflection?

With "bending" you really mean the bending moment. The bending moment in an inner stress within a member (usually beam) that allows it to carry a load. Deflection measures the actual change in a material you could call "bending." It measures the physical displacement of a member under a load.

How to Calculate Static Deflection for Cantilever Beam with Point Load at Free End?

Static Deflection for Cantilever Beam with Point Load at Free End calculator uses Static Deflection = (Load Attached to Free End of Constraint*Length of Cantilever Beam^3)/(3*Young's Modulus*Moment of Inertia of Beam) to calculate the Static Deflection, Static Deflection for Cantilever Beam with Point Load at Free End formula is defined as a measure of the maximum displacement of the free end of a cantilever beam under the influence of a point load, providing insight into the beam's structural integrity and ability to withstand external forces. Static Deflection is denoted by δ symbol.

How to calculate Static Deflection for Cantilever Beam with Point Load at Free End using this online calculator? To use this online calculator for Static Deflection for Cantilever Beam with Point Load at Free End, enter Load Attached to Free End of Constraint (W_attached), Length of Cantilever Beam (L_cant), Young's Modulus (E) & Moment of Inertia of Beam (I) and hit the calculate button. Here is how the Static Deflection for Cantilever Beam with Point Load at Free End calculation can be explained with given input values -> 0.070833 = (0.153*5^3)/(3*15*6).

FAQ

What is Static Deflection for Cantilever Beam with Point Load at Free End?

Static Deflection for Cantilever Beam with Point Load at Free End formula is defined as a measure of the maximum displacement of the free end of a cantilever beam under the influence of a point load, providing insight into the beam's structural integrity and ability to withstand external forces and is represented as δ = (W_attached*L_cant^3)/(3*E*I) or Static Deflection = (Load Attached to Free End of Constraint*Length of Cantilever Beam^3)/(3*Young's Modulus*Moment of Inertia of Beam). Load Attached to Free End of Constraint is the force applied to the free end of a constraint in various beam types under different load conditions, Length of Cantilever Beam is the maximum downward displacement of a cantilever beam under various 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 calculate the static deflection of beams under various load conditions & Moment of Inertia of Beam is a measure of the beam's resistance to bending under various load conditions, providing insight into its structural behavior.

How to calculate Static Deflection for Cantilever Beam with Point Load at Free End?

Static Deflection for Cantilever Beam with Point Load at Free End formula is defined as a measure of the maximum displacement of the free end of a cantilever beam under the influence of a point load, providing insight into the beam's structural integrity and ability to withstand external forces is calculated using Static Deflection = (Load Attached to Free End of Constraint*Length of Cantilever Beam^3)/(3*Young's Modulus*Moment of Inertia of Beam). To calculate Static Deflection for Cantilever Beam with Point Load at Free End, you need Load Attached to Free End of Constraint (W_attached), Length of Cantilever Beam (L_cant), Young's Modulus (E) & Moment of Inertia of Beam (I). With our tool, you need to enter the respective value for Load Attached to Free End of Constraint, Length of Cantilever Beam, Young's Modulus & Moment of Inertia of Beam 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 Static Deflection?

In this formula, Static Deflection uses Load Attached to Free End of Constraint, Length of Cantilever Beam, Young's Modulus & Moment of Inertia of Beam. We can use 3 other way(s) to calculate the same, which is/are as follows -

Static Deflection = (Load per unit Length*Length of Cantilever Beam^4)/(8*Young's Modulus*Moment of Inertia of Beam)
Static Deflection = (Central Point Load*Length of Simply Supported Beam^3)/(48*Young's Modulus*Moment of Inertia of Beam)
Static Deflection = (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 Beam*Length of Simply Supported Beam)

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