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Length of Beam for Simply Supported Beam with Central Point Load Formula

GoLength of Beam for Simply Supported Beam with Uniformly Distributed Load Formula

GoLength of Simply Supported Beam with Eccentric Point Load Formula

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Length of Simply Supported Beam is the distance of a beam between its supports, varying with types of beams and load conditions. Check FAQs

L SSB = {(\frac{48 \cdot E \cdot I \cdot δ}{w c})}^{\frac{1}{3}}

L_SSB - Length of Simply Supported Beam?E - Young's Modulus?I - Moment of Inertia of Beam?δ - Static Deflection?w_c - Central Point Load?

Length of Beam for Simply Supported Beam with Central Point Load Example

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

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

Here is how the Length of Beam for Simply Supported Beam with Central Point Load equation looks like.

3.6881 = {(\frac{48 \cdot 15 \cdot 6 \cdot 0.072}{6.2})}^{\frac{1}{3}}

3.6881m = {(\frac{48 \cdot 15N/m \cdot 6m⁴/m \cdot 0.072m}{6.2kg})}^{\frac{1}{3}}

3.6881 = {(\frac{48 \cdot 15 \cdot 6 \cdot 0.072}{6.2})}^{\frac{1}{3}}

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Length of Beam for Simply Supported Beam with Central Point Load Solution

Follow our step by step solution on how to calculate Length of Beam for Simply Supported Beam with Central Point Load?

FIRST Step Consider the formula

L SSB = {(\frac{48 \cdot E \cdot I \cdot δ}{w c})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

L SSB = {(\frac{48 \cdot 15N/m \cdot 6m⁴/m \cdot 0.072m}{6.2kg})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

L SSB = {(\frac{48 \cdot 15 \cdot 6 \cdot 0.072}{6.2})}^{\frac{1}{3}}

Next Step Evaluate

∴

L SSB = 3.68814667730501m

LAST Step Rounding Answer

∴

L SSB = 3.6881m

Length of Beam for Simply Supported Beam with Central Point Load Formula Elements

Variables

Length of Simply Supported Beam

Length of Simply Supported Beam is the distance of a beam between its supports, varying with types of beams and load conditions.

Symbol: L_SSB

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Simply Supported Beam

Young's Modulus

Young's Modulus is a measure of the stiffness of a solid material, used to calculate the length of a beam under various load conditions and beam types.

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 load conditions, depending on its length and type.

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

Static Deflection

Static Deflection is the maximum displacement of a beam from its original position under various load conditions, providing values for different types of beams.

Symbol: δ

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Static Deflection

Central Point Load

Central Point Load is the load applied at the midpoint of a beam, affecting its length under various load conditions and beam types.

Symbol: w_c

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Central Point Load

Other Formulas to find Length of Simply Supported Beam

Go Length of Beam for Simply Supported Beam with Uniformly Distributed Load

L SSB = {(\frac{384 \cdot E \cdot I \cdot δ}{5 \cdot w SSB})}^{\frac{1}{4}}

Go Length of Simply Supported Beam with Eccentric Point Load

L SSB = \frac{w e SSB \cdot a^{2} \cdot b^{2}}{3 \cdot E \cdot I \cdot δ}

Other formulas in Values of length of beam for the various types of beams and under various load conditions category

Go Length of Beam for Fixed Beam with Uniformly Distributed Load

L FB = {(\frac{384 \cdot E \cdot I \cdot δ}{w FB})}^{\frac{1}{4}}

Go Length of Beam for Fixed Beam with Central Point Load

L FB = {(\frac{192 \cdot E \cdot I \cdot δ}{w c})}^{\frac{1}{3}}

Go Length of Fixed Beam with Eccentric Point Load

L FB = \frac{w e \cdot a^{3} \cdot b^{3}}{3 \cdot E \cdot I \cdot δ}

Go Length of Beam for Cantilever Beam with Uniformly Distributed Load

L CB = {(\frac{8 \cdot E \cdot I \cdot δ}{w CB})}^{\frac{1}{4}}

How to Evaluate Length of Beam for Simply Supported Beam with Central Point Load?

Length of Beam for Simply Supported Beam with Central Point Load evaluator uses Length of Simply Supported Beam = ((48*Young's Modulus*Moment of Inertia of Beam*Static Deflection)/(Central Point Load))^(1/3) to evaluate the Length of Simply Supported Beam, The Length of beam for simply supported beam with central point load formula is simply the total length of the member. Length of Simply Supported Beam is denoted by L_SSB symbol.

How to evaluate Length of Beam for Simply Supported Beam with Central Point Load using this online evaluator? To use this online evaluator for Length of Beam for Simply Supported Beam with Central Point Load, enter Young's Modulus (E), Moment of Inertia of Beam (I), Static Deflection (δ) & Central Point Load (w_c) and hit the calculate button.

FAQs on Length of Beam for Simply Supported Beam with Central Point Load

What is the formula to find Length of Beam for Simply Supported Beam with Central Point Load?

The formula of Length of Beam for Simply Supported Beam with Central Point Load is expressed as Length of Simply Supported Beam = ((48*Young's Modulus*Moment of Inertia of Beam*Static Deflection)/(Central Point Load))^(1/3). Here is an example- 3.688147 = ((48*15*6*0.072)/(6.2))^(1/3).

How to calculate Length of Beam for Simply Supported Beam with Central Point Load?

With Young's Modulus (E), Moment of Inertia of Beam (I), Static Deflection (δ) & Central Point Load (w_c) we can find Length of Beam for Simply Supported Beam with Central Point Load using the formula - Length of Simply Supported Beam = ((48*Young's Modulus*Moment of Inertia of Beam*Static Deflection)/(Central Point Load))^(1/3).

What are the other ways to Calculate Length of Simply Supported Beam?

Here are the different ways to Calculate Length of Simply Supported Beam-

Length of Simply Supported Beam=((384*Young's Modulus*Moment of Inertia of Beam*Static Deflection)/(5*Load in Simply Supported Beam))^(1/4)
Length of Simply Supported Beam=(Eccentric Point Load for Simply Supported Beam*Distance of Load from One End^2*Distance of Load from Other End^2)/(3*Young's Modulus*Moment of Inertia of Beam*Static Deflection)

Can the Length of Beam for Simply Supported Beam with Central Point Load be negative?

No, the Length of Beam for Simply Supported Beam with Central Point Load, measured in Length cannot be negative.

Which unit is used to measure Length of Beam for Simply Supported Beam with Central Point Load?

Length of Beam for Simply Supported Beam with Central Point Load is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Length of Beam for Simply Supported Beam with Central Point Load can be measured.

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Length of Beam for Simply Supported Beam with Central Point Load Formula

​GoLength of Beam for Simply Supported Beam with Uniformly Distributed Load Formula

​GoLength of Simply Supported Beam with Eccentric Point Load Formula

Length of Beam for Simply Supported Beam with Central Point Load Example

Length of Beam for Simply Supported Beam with Central Point Load Solution

Length of Beam for Simply Supported Beam with Central Point Load Formula Elements

Other Formulas to find Length of Simply Supported Beam

Other formulas in Values of length of beam for the various types of beams and under various load conditions category

How to Evaluate Length of Beam for Simply Supported Beam with Central Point Load?

FAQs on Length of Beam for Simply Supported Beam with Central Point Load

Variable Name

GoLength of Beam for Simply Supported Beam with Uniformly Distributed Load Formula

GoLength of Simply Supported Beam with Eccentric Point Load Formula