Fx Copy
LaTeX Copy
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). Check FAQs
δ=a(a2)FtL324EIp
δ - Deflection due to Moments on Arch Dam?a - Part of Span Length?Ft - Thrust Force?L - Span Length?E - Young's Modulus?Ip - Moment of Inertia in Prestress?

Deflection due to Prestressing given Doubly Harped Tendon Example

With values
With units
Only example

Here is how the Deflection due to Prestressing given Doubly Harped Tendon equation looks like with Values.

Here is how the Deflection due to Prestressing given Doubly Harped Tendon equation looks like with Units.

Here is how the Deflection due to Prestressing given Doubly Harped Tendon equation looks like.

49.2405Edit=0.8Edit(0.8Edit2)311.6Edit5Edit32415Edit1.125Edit
You are here -
HomeIcon Home » Category Engineering » Category Civil » Category Structural Engineering » fx Deflection due to Prestressing given Doubly Harped Tendon

Deflection due to Prestressing given Doubly Harped Tendon Solution

Follow our step by step solution on how to calculate Deflection due to Prestressing given Doubly Harped Tendon?

FIRST Step Consider the formula
δ=a(a2)FtL324EIp
Next Step Substitute values of Variables
δ=0.8(0.82)311.6N5m32415Pa1.125kg·m²
Next Step Prepare to Evaluate
δ=0.8(0.82)311.65324151.125
Next Step Evaluate
δ=49.2404938271605m
LAST Step Rounding Answer
δ=49.2405m

Deflection due to Prestressing given Doubly Harped Tendon Formula Elements

Variables
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.
Part of Span Length
Part of Span Length is described as the part of the beam length.
Symbol: a
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Thrust Force
Thrust Force acting perpendicular to the job piece.
Symbol: Ft
Measurement: ForceUnit: N
Note: Value should be greater than 0.
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.
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.
Moment of Inertia in Prestress
Moment of Inertia in Prestress is the Moment of Inertia which is defined as the measure of the resistance of a body to angular acceleration about a given axis.
Symbol: Ip
Measurement: Moment of InertiaUnit: kg·m²
Note: Value should be greater than 0.

Other Formulas to find Deflection due to Moments on Arch Dam

​Go Deflection due to Prestressing for Parabolic Tendon
δ=(5384)(WupL4EIA)
​Go Deflection due to Prestressing for Singly Harped Tendon
δ=FtL348EIp

Other formulas in Deflection due to Prestressing Force category

​Go Uplift Thrust when Deflection due to Prestressing for Parabolic Tendon
Wup=δ384EIA5L4
​Go Flexural Rigidity given Deflection due to Prestressing for Parabolic Tendon
EI=(5384)(WupL4δ)
​Go Young's Modulus given Deflection due to Prestressing for Parabolic Tendon
E=(5384)(WupL4δIA)
​Go Moment of Inertia for Deflection due to Prestressing for Parabolic Tendon
Ip=(5384)(WupL4e)

How to Evaluate Deflection due to Prestressing given Doubly Harped Tendon?

Deflection due to Prestressing given Doubly Harped Tendon evaluator uses Deflection due to Moments on Arch Dam = (Part of Span Length*(Part of Span Length^2)*Thrust Force*Span Length^3)/(24*Young's Modulus*Moment of Inertia in Prestress) to evaluate the Deflection due to Moments on Arch Dam, The Deflection due to Prestressing given Doubly Harped Tendon is defined as the bending or deformation caused by tensioned cables arranged in a zigzag pattern. Deflection due to Moments on Arch Dam is denoted by δ symbol.

How to evaluate Deflection due to Prestressing given Doubly Harped Tendon using this online evaluator? To use this online evaluator for Deflection due to Prestressing given Doubly Harped Tendon, enter Part of Span Length (a), Thrust Force (Ft), Span Length (L), Young's Modulus (E) & Moment of Inertia in Prestress (Ip) and hit the calculate button.

FAQs on Deflection due to Prestressing given Doubly Harped Tendon

What is the formula to find Deflection due to Prestressing given Doubly Harped Tendon?
The formula of Deflection due to Prestressing given Doubly Harped Tendon is expressed as Deflection due to Moments on Arch Dam = (Part of Span Length*(Part of Span Length^2)*Thrust Force*Span Length^3)/(24*Young's Modulus*Moment of Inertia in Prestress). Here is an example- 49.24049 = (0.8*(0.8^2)*311.6*5^3)/(24*15*1.125).
How to calculate Deflection due to Prestressing given Doubly Harped Tendon?
With Part of Span Length (a), Thrust Force (Ft), Span Length (L), Young's Modulus (E) & Moment of Inertia in Prestress (Ip) we can find Deflection due to Prestressing given Doubly Harped Tendon using the formula - Deflection due to Moments on Arch Dam = (Part of Span Length*(Part of Span Length^2)*Thrust Force*Span Length^3)/(24*Young's Modulus*Moment of Inertia in Prestress).
What are the other ways to Calculate Deflection due to Moments on Arch Dam?
Here are the different ways to Calculate Deflection due to Moments on Arch Dam-
  • Deflection due to Moments on Arch Dam=(5/384)*((Upward Thrust*Span Length^4)/(Young's Modulus*Second Moment of Area))OpenImg
  • Deflection due to Moments on Arch Dam=(Thrust Force*Span Length^3)/(48*Young's Modulus*Moment of Inertia in Prestress)OpenImg
Can the Deflection due to Prestressing given Doubly Harped Tendon be negative?
No, the Deflection due to Prestressing given Doubly Harped Tendon, measured in Length cannot be negative.
Which unit is used to measure Deflection due to Prestressing given Doubly Harped Tendon?
Deflection due to Prestressing given Doubly Harped Tendon is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Deflection due to Prestressing given Doubly Harped Tendon can be measured.
Copied!