Static Deflection for Fixed Beam with Central Point Load Calculator

✖Central point load is the deflection of a beam under a point load applied at the center of the beam, affecting its structural integrity.ⓘ Central Point Load [w_c]			+10% -10%
✖Length of Fixed Beam is the maximum deflection of a fixed beam under various load conditions, providing insight into beam's stress and deformation behavior.ⓘ Length of Fixed Beam [L_fix]			+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 Fixed Beam with Central Point Load [δ]

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Static Deflection for Fixed Beam with Central Point Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

Static Deflection = (Central Point Load*Length of Fixed Beam^3)/(192*Young's Modulus*Moment of Inertia of Beam)
δ = (w_c*L_fix^3)/(192*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.
Central Point Load - (Measured in Kilogram) - Central point load is the deflection of a beam under a point load applied at the center of the beam, affecting its structural integrity.
Length of Fixed Beam - (Measured in Meter) - Length of Fixed Beam is the maximum deflection of a fixed beam under various load conditions, providing insight into beam's stress and deformation behavior.
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

Central Point Load: 2.5 Kilogram --> 2.5 Kilogram No Conversion Required
Length of Fixed Beam: 7.88 Meter --> 7.88 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_c*L_fix^3)/(192*E*I) --> (2.5*7.88^3)/(192*15*6)

Evaluating ... ...

δ = 0.0707904907407407

STEP 3: Convert Result to Output's Unit

0.0707904907407407 Meter --> No Conversion Required

FINAL ANSWER

0.0707904907407407 ≈ 0.07079 Meter <-- Static Deflection

(Calculation completed in 00.004 seconds)

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Home » Physics » Theory of Machine » Vibrations » Longitudinal and Transverse Vibrations » Mechanical » Values of static deflection for the various types of beams and under various load conditions » Static Deflection for Fixed Beam with Central Point Load

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National Institute Of Technology (NIT), Hamirpur

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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 Fixed Beam with Central Point Load Formula

LaTeX Go

Static Deflection = (Central Point Load*Length of Fixed Beam^3)/(192*Young's Modulus*Moment of Inertia of Beam)
δ = (w_c*L_fix^3)/(192*E*I)

What is Fixed Beam?

A fixed beam is a structural element that is rigidly supported at both ends, preventing any movement or rotation. This type of beam can carry heavier loads compared to a simply supported beam because both ends resist bending. It experiences less deflection and is commonly used in buildings and bridges for enhanced stability and strength.

How to Calculate Static Deflection for Fixed Beam with Central Point Load?

Static Deflection for Fixed Beam with Central Point Load calculator uses Static Deflection = (Central Point Load*Length of Fixed Beam^3)/(192*Young's Modulus*Moment of Inertia of Beam) to calculate the Static Deflection, Static Deflection for Fixed Beam with Central Point Load formula is defined as a measure of the maximum displacement of a fixed beam under a central point load, providing insight into the beam's ability to withstand external forces and maintain its structural integrity. Static Deflection is denoted by δ symbol.

How to calculate Static Deflection for Fixed Beam with Central Point Load using this online calculator? To use this online calculator for Static Deflection for Fixed Beam with Central Point Load, enter Central Point Load (w_c), Length of Fixed Beam (L_fix), Young's Modulus (E) & Moment of Inertia of Beam (I) and hit the calculate button. Here is how the Static Deflection for Fixed Beam with Central Point Load calculation can be explained with given input values -> 0.072147 = (2.5*7.88^3)/(192*15*6).

FAQ

What is Static Deflection for Fixed Beam with Central Point Load?

Static Deflection for Fixed Beam with Central Point Load formula is defined as a measure of the maximum displacement of a fixed beam under a central point load, providing insight into the beam's ability to withstand external forces and maintain its structural integrity and is represented as δ = (w_c*L_fix^3)/(192*E*I) or Static Deflection = (Central Point Load*Length of Fixed Beam^3)/(192*Young's Modulus*Moment of Inertia of Beam). Central point load is the deflection of a beam under a point load applied at the center of the beam, affecting its structural integrity, Length of Fixed Beam is the maximum deflection of a fixed beam under various load conditions, providing insight into beam's stress and deformation behavior, 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 Fixed Beam with Central Point Load?

Static Deflection for Fixed Beam with Central Point Load formula is defined as a measure of the maximum displacement of a fixed beam under a central point load, providing insight into the beam's ability to withstand external forces and maintain its structural integrity is calculated using Static Deflection = (Central Point Load*Length of Fixed Beam^3)/(192*Young's Modulus*Moment of Inertia of Beam). To calculate Static Deflection for Fixed Beam with Central Point Load, you need Central Point Load (w_c), Length of Fixed Beam (L_fix), Young's Modulus (E) & Moment of Inertia of Beam (I). With our tool, you need to enter the respective value for Central Point Load, Length of Fixed 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 Central Point Load, Length of Fixed 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 Attached to Free End of Constraint*Length of Cantilever Beam^3)/(3*Young's Modulus*Moment of Inertia of Beam)
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)

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