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

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Simply Supported Beam Central Point Load is the load applied at the central point of a simply supported beam, causing deflection and stress. Check FAQs

w cp = \frac{48 \cdot δ \cdot E \cdot I}{{L b}^{3} \cdot [g]}

w_cp - Simply Supported Beam Central Point Load?δ - Static Deflection?E - Young's Modulus?I - Moment of Inertia of Beam?L_b - Beam Length?[g] - Gravitational acceleration on Earth?

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

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Here is how the Value of Load for Simply Supported Beam with Central Point Load equation looks like with Values.

Here is how the Value of Load for Simply Supported Beam with Central Point Load equation looks like with Units.

Here is how the Value of Load for Simply Supported Beam with Central Point Load equation looks like.

0.2868 = \frac{48 \cdot 0.072 \cdot 15 \cdot 6}{{4.8}^{3} \cdot 9.8066}

0.2868 = \frac{48 \cdot 0.072m \cdot 15N/m \cdot 6m⁴/m}{{4.8m}^{3} \cdot 9.8066m/s²}

0.2868 = \frac{48 \cdot 0.072 \cdot 15 \cdot 6}{{4.8}^{3} \cdot 9.8066}

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

Follow our step by step solution on how to calculate Value of Load for Simply Supported Beam with Central Point Load?

FIRST Step Consider the formula

w cp = \frac{48 \cdot δ \cdot E \cdot I}{{L b}^{3} \cdot [g]}

Next Step Substitute values of Variables

∴

w cp = \frac{48 \cdot 0.072m \cdot 15N/m \cdot 6m⁴/m}{{4.8m}^{3} \cdot [g]}

Next Step Substitute values of Constants

∴

w cp = \frac{48 \cdot 0.072m \cdot 15N/m \cdot 6m⁴/m}{{4.8m}^{3} \cdot 9.8066m/s²}

Next Step Prepare to Evaluate

∴

w cp = \frac{48 \cdot 0.072 \cdot 15 \cdot 6}{{4.8}^{3} \cdot 9.8066}

Next Step Evaluate

∴

w cp = 0.286795184900042

LAST Step Rounding Answer

∴

w cp = 0.2868

Value of Load for Simply Supported Beam with Central Point Load Formula Elements

Variables

Constants

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.

Symbol: w_cp

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Simply Supported Beam Central Point Load

Static Deflection

Static Deflection is the maximum displacement of a beam under various types of loads and load conditions, affecting its structural integrity and stability.

Symbol: δ

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Static Deflection

Young's Modulus

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.

Symbol: E

Measurement: Stiffness ConstantUnit: N/m

Note: Value should be greater than 0.

Formulas to find Young's Modulus

Moment of Inertia of Beam

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.

Symbol: I

Measurement: Moment of Inertia per Unit LengthUnit: m⁴/m

Note: Value should be greater than 0.

Formulas to find Moment of Inertia of Beam

Beam Length

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.

Symbol: L_b

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Beam Length

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

Other formulas in Load for Various Types of Beams and Load Conditions category

Go Value of Load for Fixed Beam with Uniformly Distributed Load

W f = \frac{384 \cdot δ \cdot E \cdot I}{{L b}^{4}}

Go Value of Load for Fixed Beam with Central Point Load

w c = \frac{192 \cdot δ \cdot E \cdot I}{{L b}^{3}}

Go Eccentric Point Load for Fixed Beam

w f = \frac{3 \cdot δ \cdot E \cdot I \cdot L b}{a^{3} \cdot b^{3} \cdot [g]}

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

W b = \frac{384 \cdot δ \cdot E \cdot I}{5 \cdot {L b}^{4} \cdot [g]}

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

Value of Load for Simply Supported Beam with Central Point Load evaluator uses Simply Supported Beam Central Point Load = (48*Static Deflection*Young's Modulus*Moment of Inertia of Beam)/(Beam Length^3*[g]) to evaluate 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 evaluate Value of Load for Simply Supported Beam with Central Point Load using this online evaluator? To use this online evaluator 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.

FAQs on Value of Load for Simply Supported Beam with Central Point Load

What is the formula to find Value of Load for Simply Supported Beam with Central Point Load?

The formula of Value of Load for Simply Supported Beam with Central Point Load is expressed as Simply Supported Beam Central Point Load = (48*Static Deflection*Young's Modulus*Moment of Inertia of Beam)/(Beam Length^3*[g]). Here is an example- 0.286795 = (48*0.072*15*6)/(4.8^3*[g]).

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

With Static Deflection (δ), Young's Modulus (E), Moment of Inertia of Beam (I) & Beam Length (L_b) we can find Value of Load for Simply Supported Beam with Central Point Load using the formula - Simply Supported Beam Central Point Load = (48*Static Deflection*Young's Modulus*Moment of Inertia of Beam)/(Beam Length^3*[g]). This formula also uses Gravitational acceleration on Earth constant(s).

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

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

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

Value of Load for Simply Supported Beam with Central Point Load Formula Elements

Other formulas in Load for Various Types of Beams and Load Conditions category

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

FAQs on Value of Load for Simply Supported Beam with Central Point Load

Variable Name