Value of Load for Simply Supported 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%

✖Simply Supported Beam Central Point Load is the load applied at the central point of a simply supported beam, causing deflection and stress.ⓘ Value of Load for Simply Supported Beam with Central Point Load [w_cp]

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Value of Load for Simply Supported Beam with Central Point Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Simply Supported Beam Central Point Load - Simply Supported Beam Central Point Load is the load applied at the central point of a simply supported beam, causing deflection and stress.
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_cp = (48*δ*E*I)/(L_b^3*[g]) --> (48*0.072*15*6)/(4.8^3*[g])

Evaluating ... ...

w_cp = 0.286795184900042

STEP 3: Convert Result to Output's Unit

0.286795184900042 --> No Conversion Required

FINAL ANSWER

0.286795184900042 ≈ 0.286795 <-- Simply Supported Beam Central Point Load

(Calculation completed in 00.020 seconds)

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< Load for Various Types of Beams and Load Conditions Calculators

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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 Simply Supported Beam with Central Point Load Formula

LaTeX Go

Simply Supported Beam Central Point Load = (48*Static Deflection*Young's Modulus*Moment of Inertia of Beam)/(Beam Length^3*[g])
w_cp = (48*δ*E*I)/(L_b^3*[g])

What is Central Point Load?

A central point load is a load applied at the exact midpoint of a structural element, such as a beam. This type of load causes the beam to bend symmetrically, with the maximum bending moment occurring at the center. Central point loads are commonly analyzed in structural engineering to assess the strength and deflection of beams.

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

Value of Load for Simply Supported Beam with Central Point Load calculator uses Simply Supported Beam Central Point Load = (48*Static Deflection*Young's Modulus*Moment of Inertia of Beam)/(Beam Length^3*[g]) to calculate the Simply Supported Beam Central Point Load, Value of Load for Simply Supported Beam with Central Point Load formula is defined as the maximum load that a simply supported beam can withstand when a central point load is applied, taking into account the beam's deflection, material properties, and geometric dimensions. Simply Supported Beam Central Point Load is denoted by w_cp symbol.

How to calculate Value of Load for Simply Supported Beam with Central Point Load using this online calculator? To use this online calculator for Value of Load for Simply Supported 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 Simply Supported Beam with Central Point Load calculation can be explained with given input values -> 0.286795 = (48*0.072*15*6)/(4.8^3*[g]).

FAQ

What is Value of Load for Simply Supported Beam with Central Point Load?

Value of Load for Simply Supported Beam with Central Point Load formula is defined as the maximum load that a simply supported beam can withstand when a central point load is applied, taking into account the beam's deflection, material properties, and geometric dimensions and is represented as w_cp = (48*δ*E*I)/(L_b^3*[g]) or Simply Supported Beam Central Point Load = (48*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 Simply Supported Beam with Central Point Load?

Value of Load for Simply Supported Beam with Central Point Load formula is defined as the maximum load that a simply supported beam can withstand when a central point load is applied, taking into account the beam's deflection, material properties, and geometric dimensions is calculated using Simply Supported Beam Central Point Load = (48*Static Deflection*Young's Modulus*Moment of Inertia of Beam)/(Beam Length^3*[g]). To calculate Value of Load for Simply Supported 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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