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Tapered Beam Deflection for Mid-Span Concentrated Load Formula

GoStraight Beam Deflection Formula

GoTapered beam Deflection for Uniformly Distributed Load Formula

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The deflection of beam is the degree to which a structural element is displaced under a load (due to its deformation). It may refer to an angle or a distance. Check FAQs

δ = \frac{3 \cdot T l \cdot l}{10 \cdot G \cdot b \cdot d}

δ - Deflection of Beam?T_l - Total Beam Load?l - Beam Span?G - Shear Modulus?b - Width of Beam?d - Effective Depth of Beam?

Tapered Beam Deflection for Mid-Span Concentrated Load Example

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Here is how the Tapered Beam Deflection for Mid-Span Concentrated Load equation looks like with Values.

Here is how the Tapered Beam Deflection for Mid-Span Concentrated Load equation looks like with Units.

Here is how the Tapered Beam Deflection for Mid-Span Concentrated Load equation looks like.

4.1415 = \frac{3 \cdot 10 \cdot 3000}{10 \cdot 25000 \cdot 305 \cdot 285}

4.1415mm = \frac{3 \cdot 10kN \cdot 3000mm}{10 \cdot 25000MPa \cdot 305mm \cdot 285mm}

4.1415 = \frac{3 \cdot 10 \cdot 3000}{10 \cdot 25000 \cdot 305 \cdot 285}

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Tapered Beam Deflection for Mid-Span Concentrated Load Solution

Follow our step by step solution on how to calculate Tapered Beam Deflection for Mid-Span Concentrated Load?

FIRST Step Consider the formula

δ = \frac{3 \cdot T l \cdot l}{10 \cdot G \cdot b \cdot d}

Next Step Substitute values of Variables

∴

δ = \frac{3 \cdot 10kN \cdot 3000mm}{10 \cdot 25000MPa \cdot 305mm \cdot 285mm}

Next Step Convert Units

∴

δ = \frac{3 \cdot 10kN \cdot 3m}{10 \cdot 25000MPa \cdot 0.305m \cdot 0.285m}

Next Step Prepare to Evaluate

∴

δ = \frac{3 \cdot 10 \cdot 3}{10 \cdot 25000 \cdot 0.305 \cdot 0.285}

Next Step Evaluate

∴

δ = 0.00414150129421915m

Next Step Convert to Output's Unit

∴

δ = 4.14150129421915mm

LAST Step Rounding Answer

∴

δ = 4.1415mm

Tapered Beam Deflection for Mid-Span Concentrated Load Formula Elements

Variables

Deflection of Beam

The deflection of beam is the degree to which a structural element is displaced under a load (due to its deformation). It may refer to an angle or a distance.

Symbol: δ

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Deflection of Beam

Total Beam Load

Total Beam Load is defined as the total application of force that is acting on the given beam.

Symbol: T_l

Measurement: ForceUnit: kN

Note: Value can be positive or negative.

Formulas to find Total Beam Load

Beam Span

Beam span is the effective span of the beam.

Symbol: l

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Beam Span

Shear Modulus

The shear modulus is the slope of the linear elastic region of the shear stress–strain curve.

Symbol: G

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Shear Modulus

Width of Beam

The width of beam is the beam width measured from end to end.

Symbol: b

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Width of Beam

Effective Depth of Beam

The effective depth of beam measured from compressive face of beam to centroid of tensile reinforcing.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Effective Depth of Beam

Other Formulas to find Deflection of Beam

Go Straight Beam Deflection

δ = (\frac{k b \cdot T l \cdot {(l)}^{3}}{E c \cdot I}) + (\frac{k s \cdot T l \cdot l}{G \cdot A})

Go Tapered beam Deflection for Uniformly Distributed Load

δ = \frac{3 \cdot T l \cdot l}{20 \cdot G \cdot b \cdot d}

How to Evaluate Tapered Beam Deflection for Mid-Span Concentrated Load?

Tapered Beam Deflection for Mid-Span Concentrated Load evaluator uses Deflection of Beam = (3*Total Beam Load*Beam Span)/(10*Shear Modulus*Width of Beam*Effective Depth of Beam) to evaluate the Deflection of Beam, The Tapered Beam Deflection for Mid-Span Concentrated Load formula is defined as an outcome of shear deflection in addition to bending deflections. Deflection of Beam is denoted by δ symbol.

How to evaluate Tapered Beam Deflection for Mid-Span Concentrated Load using this online evaluator? To use this online evaluator for Tapered Beam Deflection for Mid-Span Concentrated Load, enter Total Beam Load (T_l), Beam Span (l), Shear Modulus (G), Width of Beam (b) & Effective Depth of Beam (d) and hit the calculate button.

FAQs on Tapered Beam Deflection for Mid-Span Concentrated Load

What is the formula to find Tapered Beam Deflection for Mid-Span Concentrated Load?

The formula of Tapered Beam Deflection for Mid-Span Concentrated Load is expressed as Deflection of Beam = (3*Total Beam Load*Beam Span)/(10*Shear Modulus*Width of Beam*Effective Depth of Beam). Here is an example- 4141.501 = (3*10000*3)/(10*25000000000*0.305*0.285).

How to calculate Tapered Beam Deflection for Mid-Span Concentrated Load?

With Total Beam Load (T_l), Beam Span (l), Shear Modulus (G), Width of Beam (b) & Effective Depth of Beam (d) we can find Tapered Beam Deflection for Mid-Span Concentrated Load using the formula - Deflection of Beam = (3*Total Beam Load*Beam Span)/(10*Shear Modulus*Width of Beam*Effective Depth of Beam).

What are the other ways to Calculate Deflection of Beam?

Here are the different ways to Calculate Deflection of Beam-

Deflection of Beam=((Beam Loading Constant*Total Beam Load*(Beam Span)^3)/(Modulus of Elasticity of Concrete*Moment of Inertia))+((Support Condition Constant*Total Beam Load*Beam Span)/(Shear Modulus*Cross-Sectional Area of Beam))
Deflection of Beam=(3*Total Beam Load*Beam Span)/(20*Shear Modulus*Width of Beam*Effective Depth of Beam)

Can the Tapered Beam Deflection for Mid-Span Concentrated Load be negative?

Yes, the Tapered Beam Deflection for Mid-Span Concentrated Load, measured in Length can be negative.

Which unit is used to measure Tapered Beam Deflection for Mid-Span Concentrated Load?

Tapered Beam Deflection for Mid-Span Concentrated Load is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Tapered Beam Deflection for Mid-Span Concentrated Load can be measured.

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Tapered Beam Deflection for Mid-Span Concentrated Load Formula

​GoStraight Beam Deflection Formula

​GoTapered beam Deflection for Uniformly Distributed Load Formula

Tapered Beam Deflection for Mid-Span Concentrated Load Example

Tapered Beam Deflection for Mid-Span Concentrated Load Solution

Tapered Beam Deflection for Mid-Span Concentrated Load Formula Elements

Other Formulas to find Deflection of Beam

How to Evaluate Tapered Beam Deflection for Mid-Span Concentrated Load?

FAQs on Tapered Beam Deflection for Mid-Span Concentrated Load

Variable Name

GoStraight Beam Deflection Formula

GoTapered beam Deflection for Uniformly Distributed Load Formula