Value of Load for Fixed Beam with Central Point 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%

✖Fixed Beam Central Point Load is the load applied at the central point of a fixed beam, causing deformation and stress on the beam.ⓘ Value of Load for Fixed Beam with Central Point Load [w_c]

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Value of Load for Fixed Beam with Central Point Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

Fixed Beam Central Point Load = (192*Static Deflection*Young's Modulus*Moment of Inertia of Beam)/(Beam Length^3)
w_c = (192*δ*E*I)/(L_b^3)
This formula uses 5 Variables

Variables Used

Fixed Beam Central Point Load - (Measured in Kilogram) - Fixed Beam Central Point Load is the load applied at the central point of a fixed beam, causing deformation and stress on the beam.
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 = (192*δ*E*I)/(L_b^3) --> (192*0.072*15*6)/(4.8^3)

Evaluating ... ...

w_c = 11.25

STEP 3: Convert Result to Output's Unit

11.25 Kilogram --> No Conversion Required

FINAL ANSWER

11.25 Kilogram <-- Fixed Beam Central Point Load

(Calculation completed in 00.004 seconds)

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< Load for Various Types of Beams and Load Conditions Calculators

Eccentric Point Load for Fixed Beam

LaTeX Go Eccentric Point Load For Fixed Beam = (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 Simply Supported Beam with Uniformly Distributed Load

LaTeX Go Load For Simply Supported Beam = (384*Static Deflection*Young's Modulus*Moment of Inertia of Beam)/(5*Beam Length^4*[g])

Value of Load for Fixed Beam with Central Point Load

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 Fixed Beam with Central Point Load Formula

LaTeX Go

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

What is Fixed Beam?

A fixed beam is a structural element that is rigidly supported at both ends, preventing any rotation or displacement. This makes the beam highly resistant to bending and deflection, as both ends are restrained. Fixed beams are commonly used in construction to provide strong support in buildings and bridges, offering greater stability compared to simply supported beams.

How to Calculate Value of Load for Fixed Beam with Central Point Load?

Value of Load for Fixed Beam with Central Point Load calculator uses Fixed Beam Central Point Load = (192*Static Deflection*Young's Modulus*Moment of Inertia of Beam)/(Beam Length^3) to calculate the Fixed Beam Central Point Load, Value of Load for Fixed Beam with Central Point Load formula is defined as the maximum weight or force that a fixed beam with a central point load can withstand without collapsing or deforming, taking into account the beam's material properties and dimensions. Fixed Beam Central Point Load is denoted by w_c symbol.

How to calculate Value of Load for Fixed Beam with Central Point Load using this online calculator? To use this online calculator for Value of Load for Fixed Beam with Central Point 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 Fixed Beam with Central Point Load calculation can be explained with given input values -> 11.25 = (192*0.072*15*6)/(4.8^3).

FAQ

What is Value of Load for Fixed Beam with Central Point Load?

Value of Load for Fixed Beam with Central Point Load formula is defined as the maximum weight or force that a fixed beam with a central point load can withstand without collapsing or deforming, taking into account the beam's material properties and dimensions and is represented as w_c = (192*δ*E*I)/(L_b^3) or Fixed Beam Central Point Load = (192*Static Deflection*Young's Modulus*Moment of Inertia of Beam)/(Beam Length^3). 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 Fixed Beam with Central Point Load?

Value of Load for Fixed Beam with Central Point Load formula is defined as the maximum weight or force that a fixed beam with a central point load can withstand without collapsing or deforming, taking into account the beam's material properties and dimensions is calculated using Fixed Beam Central Point Load = (192*Static Deflection*Young's Modulus*Moment of Inertia of Beam)/(Beam Length^3). To calculate Value of Load for Fixed Beam with Central Point 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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