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

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Load For Simply Supported Beam is the force or weight applied perpendicularly to a beam with both ends supported by pivots or hinges. Check FAQs

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

W_b - Load For Simply Supported Beam?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 Uniformly Distributed Load Example

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

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

0.0956 = \frac{384 \cdot 0.072 \cdot 15 \cdot 6}{5 \cdot {4.8}^{4} \cdot 9.8066}

0.0956 = \frac{384 \cdot 0.072m \cdot 15N/m \cdot 6m⁴/m}{5 \cdot {4.8m}^{4} \cdot 9.8066m/s²}

0.0956 = \frac{384 \cdot 0.072 \cdot 15 \cdot 6}{5 \cdot {4.8}^{4} \cdot 9.8066}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

W b = \frac{384 \cdot 0.072m \cdot 15N/m \cdot 6m⁴/m}{5 \cdot {4.8m}^{4} \cdot [g]}

Next Step Substitute values of Constants

∴

W b = \frac{384 \cdot 0.072m \cdot 15N/m \cdot 6m⁴/m}{5 \cdot {4.8m}^{4} \cdot 9.8066m/s²}

Next Step Prepare to Evaluate

∴

W b = \frac{384 \cdot 0.072 \cdot 15 \cdot 6}{5 \cdot {4.8}^{4} \cdot 9.8066}

Next Step Evaluate

∴

W b = 0.0955983949666808

LAST Step Rounding Answer

∴

W b = 0.0956

Value of Load for Simply Supported Beam with Uniformly Distributed Load Formula Elements

Variables

Constants

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.

Symbol: W_b

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Load For Simply Supported Beam

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 Cantilever Beam with Point Load at Free End

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

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

Value of Load for Simply Supported Beam with Uniformly Distributed Load evaluator uses Load For Simply Supported Beam = (384*Static Deflection*Young's Modulus*Moment of Inertia of Beam)/(5*Beam Length^4*[g]) to evaluate 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 evaluate Value of Load for Simply Supported Beam with Uniformly Distributed Load using this online evaluator? To use this online evaluator 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.

FAQs on Value of Load for Simply Supported Beam with Uniformly Distributed Load

What is the formula to find Value of Load for Simply Supported Beam with Uniformly Distributed Load?

The formula of Value of Load for Simply Supported Beam with Uniformly Distributed Load is expressed as Load For Simply Supported Beam = (384*Static Deflection*Young's Modulus*Moment of Inertia of Beam)/(5*Beam Length^4*[g]). Here is an example- 0.095598 = (384*0.072*15*6)/(5*4.8^4*[g]).

How to calculate Value of Load for Simply Supported Beam with Uniformly Distributed 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 Uniformly Distributed Load using the formula - Load For Simply Supported Beam = (384*Static Deflection*Young's Modulus*Moment of Inertia of Beam)/(5*Beam Length^4*[g]). This formula also uses Gravitational acceleration on Earth constant(s).

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

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

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

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

FAQs on Value of Load for Simply Supported Beam with Uniformly Distributed Load

Variable Name