Value of Load for Simply Supported Beam with Uniformly Distributed 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%

✖Load For Simply Supported Beam is the force or weight applied perpendicularly to a beam with both ends supported by pivots or hinges.ⓘ Value of Load for Simply Supported Beam with Uniformly Distributed Load [W_b]

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Value of Load for Simply Supported Beam with Uniformly Distributed Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

Load For Simply Supported Beam = (384*Static Deflection*Young's Modulus*Moment of Inertia of Beam)/(5*Beam Length^4*[g])
W_b = (384*δ*E*I)/(5*L_b^4*[g])
This formula uses 1 Constants, 5 Variables

Constants Used

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

Variables Used

Load For Simply Supported Beam - Load For Simply Supported Beam is the force or weight applied perpendicularly to a beam with both ends supported by pivots or hinges.
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_b = (384*δ*E*I)/(5*L_b^4*[g]) --> (384*0.072*15*6)/(5*4.8^4*[g])

Evaluating ... ...

W_b = 0.0955983949666808

STEP 3: Convert Result to Output's Unit

0.0955983949666808 --> No Conversion Required

FINAL ANSWER

0.0955983949666808 ≈ 0.095598 <-- Load For Simply Supported Beam

(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

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

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

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

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 Uniformly Distributed Load Formula

Load For Simply Supported Beam = (384*Static Deflection*Young's Modulus*Moment of Inertia of Beam)/(5*Beam Length^4*[g])
W_b = (384*δ*E*I)/(5*L_b^4*[g])

What is Support in Beams?

Support in beams refers to the structures or points that hold the beam in place and resist its movement or deformation. There are different types of supports, like pinned (hinged) supports, which allow rotation but not horizontal movement, roller supports, which allow both rotation and horizontal movement, and fixed supports, which restrict all movement and rotation. These supports determine how the beam responds to loads.

How to Calculate Value of Load for Simply Supported Beam with Uniformly Distributed Load?

Value of Load for Simply Supported Beam with Uniformly Distributed Load calculator uses Load For Simply Supported Beam = (384*Static Deflection*Young's Modulus*Moment of Inertia of Beam)/(5*Beam Length^4*[g]) to calculate the Load For Simply Supported Beam, Value of Load for Simply Supported Beam with Uniformly Distributed Load formula is defined as the maximum load that a simply supported beam can withstand under uniform distribution of load, considering the beam's length, material properties, and deflection, to ensure structural integrity and safety in various engineering applications. Load For Simply Supported Beam is denoted by W_b symbol.

How to calculate Value of Load for Simply Supported Beam with Uniformly Distributed Load using this online calculator? To use this online calculator for Value of Load for Simply Supported Beam with Uniformly Distributed 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 Uniformly Distributed Load calculation can be explained with given input values -> 0.095598 = (384*0.072*15*6)/(5*4.8^4*[g]).

FAQ

What is Value of Load for Simply Supported Beam with Uniformly Distributed Load?

Value of Load for Simply Supported Beam with Uniformly Distributed Load formula is defined as the maximum load that a simply supported beam can withstand under uniform distribution of load, considering the beam's length, material properties, and deflection, to ensure structural integrity and safety in various engineering applications and is represented as W_b = (384*δ*E*I)/(5*L_b^4*[g]) or Load For Simply Supported Beam = (384*Static Deflection*Young's Modulus*Moment of Inertia of Beam)/(5*Beam Length^4*[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 Uniformly Distributed Load?

Value of Load for Simply Supported Beam with Uniformly Distributed Load formula is defined as the maximum load that a simply supported beam can withstand under uniform distribution of load, considering the beam's length, material properties, and deflection, to ensure structural integrity and safety in various engineering applications is calculated using Load For Simply Supported Beam = (384*Static Deflection*Young's Modulus*Moment of Inertia of Beam)/(5*Beam Length^4*[g]). To calculate Value of Load for Simply Supported Beam with Uniformly Distributed 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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