FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Young's Modulus given Deflection due to Prestressing for Parabolic Tendon Formula

GoYoung's Modulus given Deflection due to Prestressing for Singly Harped Tendon Formula

GoYoung's Modulus given Deflection due to Prestressing for Doubly Harped Tendon Formula

Fx Copy

LaTeX Copy

Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain. Check FAQs

E = (\frac{5}{384}) \cdot (\frac{W up \cdot L^{4}}{δ \cdot I A})

E - Young's Modulus?W_up - Upward Thrust?L - Span Length?δ - Deflection due to Moments on Arch Dam?I_A - Second Moment of Area?

Young's Modulus given Deflection due to Prestressing for Parabolic Tendon Example

With values

With units

Only example

Here is how the Young's Modulus given Deflection due to Prestressing for Parabolic Tendon equation looks like with Values.

Here is how the Young's Modulus given Deflection due to Prestressing for Parabolic Tendon equation looks like with Units.

Here is how the Young's Modulus given Deflection due to Prestressing for Parabolic Tendon equation looks like.

14.9955 = (\frac{5}{384}) \cdot (\frac{0.842 \cdot 5^{4}}{48.1 \cdot 9.5})

14.9955Pa = (\frac{5}{384}) \cdot (\frac{0.842kN/m \cdot {5m}^{4}}{48.1m \cdot 9.5m⁴})

14.9955 = (\frac{5}{384}) \cdot (\frac{0.842 \cdot 5^{4}}{48.1 \cdot 9.5})

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Civil » Category

Structural Engineering » fx Young's Modulus given Deflection due to Prestressing for Parabolic Tendon

Young's Modulus given Deflection due to Prestressing for Parabolic Tendon Solution

Follow our step by step solution on how to calculate Young's Modulus given Deflection due to Prestressing for Parabolic Tendon?

FIRST Step Consider the formula

E = (\frac{5}{384}) \cdot (\frac{W up \cdot L^{4}}{δ \cdot I A})

Next Step Substitute values of Variables

∴

E = (\frac{5}{384}) \cdot (\frac{0.842kN/m \cdot {5m}^{4}}{48.1m \cdot 9.5m⁴})

Next Step Convert Units

∴

E = (\frac{5}{384}) \cdot (\frac{842N/m \cdot {5m}^{4}}{48.1m \cdot 9.5m⁴})

Next Step Prepare to Evaluate

∴

E = (\frac{5}{384}) \cdot (\frac{842 \cdot 5^{4}}{48.1 \cdot 9.5})

Next Step Evaluate

∴

E = 14.9955433672539Pa

LAST Step Rounding Answer

∴

E = 14.9955Pa

Young's Modulus given Deflection due to Prestressing for Parabolic Tendon Formula Elements

Variables

Young's Modulus

Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.

Symbol: E

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Young's Modulus

Upward Thrust

Upward Thrust for parabolic tendon can be described as the force per unit length of the tendon.

Symbol: W_up

Measurement: Surface TensionUnit: kN/m

Note: Value should be greater than 0.

Formulas to find Upward Thrust

Span Length

Span Length is the end to end distance between any beam or slab.

Symbol: L

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Span Length

Deflection due to Moments on Arch Dam

The Deflection due to Moments on Arch Dam is the degree to which a structural element is displaced under a load (due to its deformation).

Symbol: δ

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Deflection due to Moments on Arch Dam

Second Moment of Area

Second Moment of Area is a measure of the 'efficiency' of a shape to resist bending caused by loading. The second moment of area is a measure of a shape's resistance to change.

Symbol: I_A

Measurement: Second Moment of AreaUnit: m⁴

Note: Value should be greater than 0.

Formulas to find Second Moment of Area

Other Formulas to find Young's Modulus

Go Young's Modulus given Deflection due to Prestressing for Singly Harped Tendon

E = \frac{Ft \cdot L^{3}}{48 \cdot δ \cdot I p}

Go Young's Modulus given Deflection due to Prestressing for Doubly Harped Tendon

E = \frac{a \cdot (3 - 4 \cdot a^{2}) \cdot Ft \cdot L^{3}}{48 \cdot δ \cdot I p}

Other formulas in Deflection due to Prestressing Force category

Go Deflection due to Prestressing for Parabolic Tendon

δ = (\frac{5}{384}) \cdot (\frac{W up \cdot L^{4}}{E \cdot I A})

Go Uplift Thrust when Deflection due to Prestressing for Parabolic Tendon

W up = \frac{δ \cdot 384 \cdot E \cdot I A}{5 \cdot L^{4}}

Go Flexural Rigidity given Deflection due to Prestressing for Parabolic Tendon

EI = (\frac{5}{384}) \cdot (\frac{W up \cdot L^{4}}{δ})

Go Moment of Inertia for Deflection due to Prestressing for Parabolic Tendon

I p = (\frac{5}{384}) \cdot (\frac{W up \cdot L^{4}}{e})

How to Evaluate Young's Modulus given Deflection due to Prestressing for Parabolic Tendon?

Young's Modulus given Deflection due to Prestressing for Parabolic Tendon evaluator uses Young's Modulus = (5/384)*((Upward Thrust*Span Length^4)/(Deflection due to Moments on Arch Dam*Second Moment of Area)) to evaluate the Young's Modulus, The Young's Modulus given Deflection Due to Prestressing for Parabolic Tendon is defined as the relationship between stress (force per unit area) and strain (proportional deformation in object. Young's Modulus is denoted by E symbol.

How to evaluate Young's Modulus given Deflection due to Prestressing for Parabolic Tendon using this online evaluator? To use this online evaluator for Young's Modulus given Deflection due to Prestressing for Parabolic Tendon, enter Upward Thrust (W_up), Span Length (L), Deflection due to Moments on Arch Dam (δ) & Second Moment of Area (I_A) and hit the calculate button.

FAQs on Young's Modulus given Deflection due to Prestressing for Parabolic Tendon

What is the formula to find Young's Modulus given Deflection due to Prestressing for Parabolic Tendon?

The formula of Young's Modulus given Deflection due to Prestressing for Parabolic Tendon is expressed as Young's Modulus = (5/384)*((Upward Thrust*Span Length^4)/(Deflection due to Moments on Arch Dam*Second Moment of Area)). Here is an example- 14.99554 = (5/384)*((842*5^4)/(48.1*9.5)).

How to calculate Young's Modulus given Deflection due to Prestressing for Parabolic Tendon?

With Upward Thrust (W_up), Span Length (L), Deflection due to Moments on Arch Dam (δ) & Second Moment of Area (I_A) we can find Young's Modulus given Deflection due to Prestressing for Parabolic Tendon using the formula - Young's Modulus = (5/384)*((Upward Thrust*Span Length^4)/(Deflection due to Moments on Arch Dam*Second Moment of Area)).

What are the other ways to Calculate Young's Modulus?

Here are the different ways to Calculate Young's Modulus-

Young's Modulus=(Thrust Force*Span Length^3)/(48*Deflection due to Moments on Arch Dam*Moment of Inertia in Prestress)
Young's Modulus=(Part of Span Length*(3-4*Part of Span Length^2)*Thrust Force*Span Length^3)/(48*Deflection due to Moments on Arch Dam*Moment of Inertia in Prestress)

Can the Young's Modulus given Deflection due to Prestressing for Parabolic Tendon be negative?

No, the Young's Modulus given Deflection due to Prestressing for Parabolic Tendon, measured in Pressure cannot be negative.

Which unit is used to measure Young's Modulus given Deflection due to Prestressing for Parabolic Tendon?

Young's Modulus given Deflection due to Prestressing for Parabolic Tendon is usually measured using the Pascal[Pa] for Pressure. Kilopascal[Pa], Bar[Pa], Pound Per Square Inch[Pa] are the few other units in which Young's Modulus given Deflection due to Prestressing for Parabolic Tendon can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Young's Modulus given Deflection due to Prestressing for Parabolic Tendon Formula

​GoYoung's Modulus given Deflection due to Prestressing for Singly Harped Tendon Formula

​GoYoung's Modulus given Deflection due to Prestressing for Doubly Harped Tendon Formula

Young's Modulus given Deflection due to Prestressing for Parabolic Tendon Example

Young's Modulus given Deflection due to Prestressing for Parabolic Tendon Solution

Young's Modulus given Deflection due to Prestressing for Parabolic Tendon Formula Elements

Other Formulas to find Young's Modulus

Other formulas in Deflection due to Prestressing Force category

How to Evaluate Young's Modulus given Deflection due to Prestressing for Parabolic Tendon?

FAQs on Young's Modulus given Deflection due to Prestressing for Parabolic Tendon

Variable Name

GoYoung's Modulus given Deflection due to Prestressing for Singly Harped Tendon Formula

GoYoung's Modulus given Deflection due to Prestressing for Doubly Harped Tendon Formula