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Eccentric Point Load for Fixed Beam Formula

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Eccentric Point Load For Fixed Beam is the load applied at a point on a fixed beam, causing bending and deflection of the beam. Check FAQs

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

w_f - Eccentric Point Load For Fixed Beam?δ - Static Deflection?E - Young's Modulus?I - Moment of Inertia of Beam?L_b - Beam Length?a - Distance of Load From One End?b - Distance of Load From Other End?[g] - Gravitational acceleration on Earth?

Eccentric Point Load for Fixed Beam Example

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Here is how the Eccentric Point Load for Fixed Beam equation looks like with Values.

Here is how the Eccentric Point Load for Fixed Beam equation looks like with Units.

Here is how the Eccentric Point Load for Fixed Beam equation looks like.

0.0542 = \frac{3 \cdot 0.072 \cdot 15 \cdot 6 \cdot 4.8}{4^{3} \cdot {1.4}^{3} \cdot 9.8066}

0.0542kg = \frac{3 \cdot 0.072m \cdot 15N/m \cdot 6m⁴/m \cdot 4.8m}{{4m}^{3} \cdot {1.4m}^{3} \cdot 9.8066m/s²}

0.0542 = \frac{3 \cdot 0.072 \cdot 15 \cdot 6 \cdot 4.8}{4^{3} \cdot {1.4}^{3} \cdot 9.8066}

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Eccentric Point Load for Fixed Beam Solution

Follow our step by step solution on how to calculate Eccentric Point Load for Fixed Beam?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

w f = \frac{3 \cdot 0.072m \cdot 15N/m \cdot 6m⁴/m \cdot 4.8m}{{4m}^{3} \cdot {1.4m}^{3} \cdot [g]}

Next Step Substitute values of Constants

∴

w f = \frac{3 \cdot 0.072m \cdot 15N/m \cdot 6m⁴/m \cdot 4.8m}{{4m}^{3} \cdot {1.4m}^{3} \cdot 9.8066m/s²}

Next Step Prepare to Evaluate

∴

w f = \frac{3 \cdot 0.072 \cdot 15 \cdot 6 \cdot 4.8}{4^{3} \cdot {1.4}^{3} \cdot 9.8066}

Next Step Evaluate

∴

w f = 0.0541817142318447kg

LAST Step Rounding Answer

∴

w f = 0.0542kg

Eccentric Point Load for Fixed Beam Formula Elements

Variables

Constants

Eccentric Point Load For Fixed Beam

Eccentric Point Load For Fixed Beam is the load applied at a point on a fixed beam, causing bending and deflection of the beam.

Symbol: w_f

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

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.

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.

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.

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.

Distance of Load From One End

Distance of Load From One End is the horizontal distance of the load from one end of the beam, used to calculate beam deflection and stress.

Symbol: a

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Distance of Load From Other End

Distance of Load From Other End is the horizontal distance from the load to the other end of the beam, considering various types of beams and load conditions.

Symbol: b

Measurement: LengthUnit: m

Note: Value should be greater than 0.

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

Credits

Creator Image

Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has created this Formula and 2000+ more formulas!

Verifier Image

Verified by Dipto Mandal

Indian Institute of Information Technology (IIIT), Guwahati

Dipto Mandal has verified this Formula and 400+ more formulas!

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}}

See More

How to Evaluate Eccentric Point Load for Fixed Beam?

Eccentric Point Load for Fixed Beam evaluator uses Eccentric Point Load For Fixed Beam = (3*Static Deflection*Young's Modulus*Moment of Inertia of Beam*Beam Length)/(Distance of Load From One End^3*Distance of Load From Other End^3*[g]) to evaluate the Eccentric Point Load For Fixed Beam, Eccentric Point Load for Fixed Beam formula is defined as a measure of the load applied at a point on a fixed beam, taking into account the beam's length, modulus of elasticity, moment of inertia, and the distance of the load from the beam's supports, to determine the maximum stress and deflection of the beam under various load conditions. Eccentric Point Load For Fixed Beam is denoted by w_f symbol.

How to evaluate Eccentric Point Load for Fixed Beam using this online evaluator? To use this online evaluator for Eccentric Point Load for Fixed Beam, enter Static Deflection (δ), Young's Modulus (E), Moment of Inertia of Beam (I), Beam Length (L_b), Distance of Load From One End (a) & Distance of Load From Other End (b) and hit the calculate button.

FAQs on Eccentric Point Load for Fixed Beam

What is the formula to find Eccentric Point Load for Fixed Beam?

The formula of Eccentric Point Load for Fixed Beam is expressed as Eccentric Point Load For Fixed Beam = (3*Static Deflection*Young's Modulus*Moment of Inertia of Beam*Beam Length)/(Distance of Load From One End^3*Distance of Load From Other End^3*[g]). Here is an example- 0.054182 = (3*0.072*15*6*4.8)/(4^3*1.4^3*[g]).

How to calculate Eccentric Point Load for Fixed Beam?

With Static Deflection (δ), Young's Modulus (E), Moment of Inertia of Beam (I), Beam Length (L_b), Distance of Load From One End (a) & Distance of Load From Other End (b) we can find Eccentric Point Load for Fixed Beam using the formula - Eccentric Point Load For Fixed Beam = (3*Static Deflection*Young's Modulus*Moment of Inertia of Beam*Beam Length)/(Distance of Load From One End^3*Distance of Load From Other End^3*[g]). This formula also uses Gravitational acceleration on Earth constant(s).

Can the Eccentric Point Load for Fixed Beam be negative?

No, the Eccentric Point Load for Fixed Beam, measured in Weight cannot be negative.

Which unit is used to measure Eccentric Point Load for Fixed Beam?

Eccentric Point Load for Fixed Beam is usually measured using the Kilogram[kg] for Weight. Gram[kg], Milligram[kg], Ton (Metric)[kg] are the few other units in which Eccentric Point Load for Fixed Beam can be measured.

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