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Value of Load for Fixed Beam with Uniformly Distributed Load Formula

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Load For Fixed Beam is the force applied perpendicularly to a fixed beam, causing deformation and stress, under various load conditions and beam types. Check FAQs

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

W_f - Load For Fixed Beam?δ - Static Deflection?E - Young's Modulus?I - Moment of Inertia of Beam?L_b - Beam Length?

Value of Load for Fixed Beam with Uniformly Distributed Load Example

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

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

4.6875 = \frac{384 \cdot 0.072 \cdot 15 \cdot 6}{{4.8}^{4}}

4.6875 = \frac{384 \cdot 0.072m \cdot 15N/m \cdot 6m⁴/m}{{4.8m}^{4}}

4.6875 = \frac{384 \cdot 0.072 \cdot 15 \cdot 6}{{4.8}^{4}}

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Value of Load for Fixed Beam with Uniformly Distributed Load Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

W f = \frac{384 \cdot 0.072m \cdot 15N/m \cdot 6m⁴/m}{{4.8m}^{4}}

Next Step Prepare to Evaluate

∴

W f = \frac{384 \cdot 0.072 \cdot 15 \cdot 6}{{4.8}^{4}}

LAST Step Evaluate

∴

W f = 4.6875

Value of Load for Fixed Beam with Uniformly Distributed Load Formula Elements

Variables

Load For Fixed Beam

Load For Fixed Beam is the force applied perpendicularly to a fixed beam, causing deformation and stress, under various load conditions and beam types.

Symbol: W_f

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Load For Fixed 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

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

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]}

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 Fixed Beam with Uniformly Distributed Load?

Value of Load for Fixed Beam with Uniformly Distributed Load evaluator uses Load For Fixed Beam = (384*Static Deflection*Young's Modulus*Moment of Inertia of Beam)/(Beam Length^4) to evaluate the Load For Fixed Beam, Value of Load for Fixed Beam with Uniformly Distributed Load formula is defined as the maximum load that a fixed beam with a uniform distribution of load can withstand without deforming or breaking, taking into account the beam's material properties and dimensions. Load For Fixed Beam is denoted by W_f symbol.

How to evaluate Value of Load for Fixed Beam with Uniformly Distributed Load using this online evaluator? To use this online evaluator for Value of Load for Fixed 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 Fixed Beam with Uniformly Distributed Load

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

The formula of Value of Load for Fixed Beam with Uniformly Distributed Load is expressed as Load For Fixed Beam = (384*Static Deflection*Young's Modulus*Moment of Inertia of Beam)/(Beam Length^4). Here is an example- 4.6875 = (384*0.072*15*6)/(4.8^4).

How to calculate Value of Load for Fixed 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 Fixed Beam with Uniformly Distributed Load using the formula - Load For Fixed Beam = (384*Static Deflection*Young's Modulus*Moment of Inertia of Beam)/(Beam Length^4).

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Value of Load for Fixed Beam with Uniformly Distributed Load Formula

Value of Load for Fixed Beam with Uniformly Distributed Load Example

Value of Load for Fixed Beam with Uniformly Distributed Load Solution

Value of Load for Fixed 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 Fixed Beam with Uniformly Distributed Load?

FAQs on Value of Load for Fixed Beam with Uniformly Distributed Load

Variable Name