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Eccentric Point Load for Simply Supported Beam Formula

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Eccentric Point Load For Simply Supported Beam is a type of load applied at a point on a simply supported beam, causing bending and deflection. Check FAQs

w s = \frac{3 \cdot δ \cdot E \cdot I \cdot L b}{a^{2} \cdot b^{2} \cdot [g]}

w_s - Eccentric Point Load For Simply Supported 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 Simply Supported Beam Example

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

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

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

0.3034 = \frac{3 \cdot 0.072 \cdot 15 \cdot 6 \cdot 4.8}{4^{2} \cdot {1.4}^{2} \cdot 9.8066}

0.3034 = \frac{3 \cdot 0.072m \cdot 15N/m \cdot 6m⁴/m \cdot 4.8m}{{4m}^{2} \cdot {1.4m}^{2} \cdot 9.8066m/s²}

0.3034 = \frac{3 \cdot 0.072 \cdot 15 \cdot 6 \cdot 4.8}{4^{2} \cdot {1.4}^{2} \cdot 9.8066}

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Eccentric Point Load for Simply Supported Beam Solution

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

FIRST Step Consider the formula

w s = \frac{3 \cdot δ \cdot E \cdot I \cdot L b}{a^{2} \cdot b^{2} \cdot [g]}

Next Step Substitute values of Variables

∴

w s = \frac{3 \cdot 0.072m \cdot 15N/m \cdot 6m⁴/m \cdot 4.8m}{{4m}^{2} \cdot {1.4m}^{2} \cdot [g]}

Next Step Substitute values of Constants

∴

w s = \frac{3 \cdot 0.072m \cdot 15N/m \cdot 6m⁴/m \cdot 4.8m}{{4m}^{2} \cdot {1.4m}^{2} \cdot 9.8066m/s²}

Next Step Prepare to Evaluate

∴

w s = \frac{3 \cdot 0.072 \cdot 15 \cdot 6 \cdot 4.8}{4^{2} \cdot {1.4}^{2} \cdot 9.8066}

Next Step Evaluate

∴

w s = 0.30341759969833

LAST Step Rounding Answer

∴

w s = 0.3034

Eccentric Point Load for Simply Supported Beam Formula Elements

Variables

Constants

Eccentric Point Load For Simply Supported Beam

Eccentric Point Load For Simply Supported Beam is a type of load applied at a point on a simply supported beam, causing bending and deflection.

Symbol: w_s

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Eccentric Point 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