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Value of Load for Cantilever Beam with Uniformly Distributed Load Formula

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Load For Cantilever Beam is the force or weight applied to a cantilever beam, causing bending and deflection, typically at the free end. Check FAQs

W c = \frac{8 \cdot δ \cdot E \cdot I}{{L b}^{4} \cdot [g]}

W_c - Load For Cantilever 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 Cantilever Beam with Uniformly Distributed Load Example

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

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

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

0.01 = \frac{8 \cdot 0.072 \cdot 15 \cdot 6}{{4.8}^{4} \cdot 9.8066}

0.01 = \frac{8 \cdot 0.072m \cdot 15N/m \cdot 6m⁴/m}{{4.8m}^{4} \cdot 9.8066m/s²}

0.01 = \frac{8 \cdot 0.072 \cdot 15 \cdot 6}{{4.8}^{4} \cdot 9.8066}

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Value of Load for Cantilever Beam with Uniformly Distributed Load Solution

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

FIRST Step Consider the formula

W c = \frac{8 \cdot δ \cdot E \cdot I}{{L b}^{4} \cdot [g]}

Next Step Substitute values of Variables

∴

W c = \frac{8 \cdot 0.072m \cdot 15N/m \cdot 6m⁴/m}{{4.8m}^{4} \cdot [g]}

Next Step Substitute values of Constants

∴

W c = \frac{8 \cdot 0.072m \cdot 15N/m \cdot 6m⁴/m}{{4.8m}^{4} \cdot 9.8066m/s²}

Next Step Prepare to Evaluate

∴

W c = \frac{8 \cdot 0.072 \cdot 15 \cdot 6}{{4.8}^{4} \cdot 9.8066}

Next Step Evaluate

∴

W c = 0.00995816614236258

LAST Step Rounding Answer

∴

W c = 0.01

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

Variables

Constants

Load For Cantilever Beam

Load For Cantilever Beam is the force or weight applied to a cantilever beam, causing bending and deflection, typically at the free end.

Symbol: W_c

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Load For Cantilever 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 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 Cantilever Beam with Uniformly Distributed Load?

Value of Load for Cantilever Beam with Uniformly Distributed Load evaluator uses Load For Cantilever Beam = (8*Static Deflection*Young's Modulus*Moment of Inertia of Beam)/(Beam Length^4*[g]) to evaluate the Load For Cantilever Beam, Value of Load for Cantilever Beam with Uniformly Distributed Load formula is defined as the maximum weight that a cantilever beam can withstand when subjected to a uniformly distributed load, taking into account the beam's length, material properties, and gravitational forces. Load For Cantilever Beam is denoted by W_c symbol.

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

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

The formula of Value of Load for Cantilever Beam with Uniformly Distributed Load is expressed as Load For Cantilever Beam = (8*Static Deflection*Young's Modulus*Moment of Inertia of Beam)/(Beam Length^4*[g]). Here is an example- 0.009958 = (8*0.072*15*6)/(4.8^4*[g]).

How to calculate Value of Load for Cantilever 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 Cantilever Beam with Uniformly Distributed Load using the formula - Load For Cantilever Beam = (8*Static Deflection*Young's Modulus*Moment of Inertia of Beam)/(Beam Length^4*[g]). This formula also uses Gravitational acceleration on Earth constant(s).

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Value of Load for Cantilever Beam with Uniformly Distributed Load Formula

Value of Load for Cantilever Beam with Uniformly Distributed Load Example

Value of Load for Cantilever Beam with Uniformly Distributed Load Solution

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

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

Variable Name