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Value of Load for Cantilever Beam with Point Load at Free End Formula

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Load Attached to Free End of Constraint is the force or weight applied to the free end of a beam, affecting its structural integrity and stability. Check FAQs

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

W_a - Load Attached to Free End of Constraint?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 Point Load at Free End Example

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Here is how the Value of Load for Cantilever Beam with Point Load at Free End equation looks like with Units.

Here is how the Value of Load for Cantilever Beam with Point Load at Free End equation looks like.

0.0179 = \frac{3 \cdot 0.072 \cdot 15 \cdot 6}{{4.8}^{3} \cdot 9.8066}

0.0179kg = \frac{3 \cdot 0.072m \cdot 15N/m \cdot 6m⁴/m}{{4.8m}^{3} \cdot 9.8066m/s²}

0.0179 = \frac{3 \cdot 0.072 \cdot 15 \cdot 6}{{4.8}^{3} \cdot 9.8066}

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Value of Load for Cantilever Beam with Point Load at Free End Solution

Follow our step by step solution on how to calculate Value of Load for Cantilever Beam with Point Load at Free End?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

W a = \frac{3 \cdot 0.072m \cdot 15N/m \cdot 6m⁴/m}{{4.8m}^{3} \cdot [g]}

Next Step Substitute values of Constants

∴

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

Next Step Prepare to Evaluate

∴

W a = \frac{3 \cdot 0.072 \cdot 15 \cdot 6}{{4.8}^{3} \cdot 9.8066}

Next Step Evaluate

∴

W a = 0.0179246990562526kg

LAST Step Rounding Answer

∴

W a = 0.0179kg

Value of Load for Cantilever Beam with Point Load at Free End Formula Elements

Variables

Constants

Load Attached to Free End of Constraint

Load Attached to Free End of Constraint is the force or weight applied to the free end of a beam, affecting its structural integrity and stability.

Symbol: W_a

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Load Attached to Free End of Constraint

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 Point Load at Free End?

Value of Load for Cantilever Beam with Point Load at Free End evaluator uses Load Attached to Free End of Constraint = (3*Static Deflection*Young's Modulus*Moment of Inertia of Beam)/(Beam Length^3*[g]) to evaluate the Load Attached to Free End of Constraint, Value of Load for Cantilever Beam with Point Load at Free End formula is defined as the maximum weight or force that a cantilever beam can withstand when a point load is applied at its free end, considering factors such as beam length, material properties, and gravitational forces. Load Attached to Free End of Constraint is denoted by W_a symbol.

How to evaluate Value of Load for Cantilever Beam with Point Load at Free End using this online evaluator? To use this online evaluator for Value of Load for Cantilever Beam with Point Load at Free End, 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 Point Load at Free End

What is the formula to find Value of Load for Cantilever Beam with Point Load at Free End?

The formula of Value of Load for Cantilever Beam with Point Load at Free End is expressed as Load Attached to Free End of Constraint = (3*Static Deflection*Young's Modulus*Moment of Inertia of Beam)/(Beam Length^3*[g]). Here is an example- 0.017925 = (3*0.072*15*6)/(4.8^3*[g]).

How to calculate Value of Load for Cantilever Beam with Point Load at Free End?

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 Point Load at Free End using the formula - Load Attached to Free End of Constraint = (3*Static Deflection*Young's Modulus*Moment of Inertia of Beam)/(Beam Length^3*[g]). This formula also uses Gravitational acceleration on Earth constant(s).

Can the Value of Load for Cantilever Beam with Point Load at Free End be negative?

No, the Value of Load for Cantilever Beam with Point Load at Free End, measured in Weight cannot be negative.

Which unit is used to measure Value of Load for Cantilever Beam with Point Load at Free End?

Value of Load for Cantilever Beam with Point Load at Free End is usually measured using the Kilogram[kg] for Weight. Gram[kg], Milligram[kg], Ton (Metric)[kg] are the few other units in which Value of Load for Cantilever Beam with Point Load at Free End can be measured.

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Value of Load for Cantilever Beam with Point Load at Free End Formula

Value of Load for Cantilever Beam with Point Load at Free End Example

Value of Load for Cantilever Beam with Point Load at Free End Solution

Value of Load for Cantilever Beam with Point Load at Free End 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 Point Load at Free End?

FAQs on Value of Load for Cantilever Beam with Point Load at Free End

Variable Name