FormulaDen.com

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

Tension at Supports for UDL on Parabolic Cable Formula

Fx Copy

LaTeX Copy

Tension at Supports is the tension due to loading on supports. Check FAQs

T s = \sqrt{({T mid}^{2}) + {(q \cdot \frac{L span}{2})}^{2}}

T_s - Tension at Supports?T_mid - Tension at Midspan?q - Uniformly Distributed Load?L_span - Cable Span?

Tension at Supports for UDL on Parabolic Cable Example

With values

With units

Only example

Here is how the Tension at Supports for UDL on Parabolic Cable equation looks like with Values.

Here is how the Tension at Supports for UDL on Parabolic Cable equation looks like with Units.

Here is how the Tension at Supports for UDL on Parabolic Cable equation looks like.

209.8595 = \sqrt{(196^{2}) + {(10 \cdot \frac{15}{2})}^{2}}

209.8595kN = \sqrt{({196kN}^{2}) + {(10kN/m \cdot \frac{15m}{2})}^{2}}

209.8595 = \sqrt{(196^{2}) + {(10 \cdot \frac{15}{2})}^{2}}

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

Bridge and Suspension Cable » fx Tension at Supports for UDL on Parabolic Cable

Tension at Supports for UDL on Parabolic Cable Solution

Follow our step by step solution on how to calculate Tension at Supports for UDL on Parabolic Cable?

FIRST Step Consider the formula

T s = \sqrt{({T mid}^{2}) + {(q \cdot \frac{L span}{2})}^{2}}

Next Step Substitute values of Variables

∴

T s = \sqrt{({196kN}^{2}) + {(10kN/m \cdot \frac{15m}{2})}^{2}}

Next Step Convert Units

∴

T s = \sqrt{({196000N}^{2}) + {(10000N/m \cdot \frac{15m}{2})}^{2}}

Next Step Prepare to Evaluate

∴

T s = \sqrt{(196000^{2}) + {(10000 \cdot \frac{15}{2})}^{2}}

Next Step Evaluate

∴

T s = 209859.476793401N

Next Step Convert to Output's Unit

∴

T s = 209.859476793401kN

LAST Step Rounding Answer

∴

T s = 209.8595kN

Tension at Supports for UDL on Parabolic Cable Formula Elements

Variables

Functions

Tension at Supports

Tension at Supports is the tension due to loading on supports.

Symbol: T_s

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Tension at Supports

Tension at Midspan

Tension at midspan is the total tension acting in cable at midpoint.

Symbol: T_mid

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Tension at Midspan

Uniformly Distributed Load

Uniformly distributed Load (UDL) is a load that is distributed or spread across the whole region of an element whose magnitude of the load remains uniform throughout the whole element.

Symbol: q

Measurement: Surface TensionUnit: kN/m

Note: Value can be positive or negative.

Formulas to find Uniformly Distributed Load

Cable Span

Cable Span is total length of cable in horizontal direction.

Symbol: L_span

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Cable Span

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in Parabolic Cable Tension and Length category

Go Maximum Sag given Tension at Midspan for UDL on Parabolic Cable

d = q \cdot \frac{{L span}^{2}}{8 \cdot T mid}

Go Tension at Midspan given Tension at Supports for UDL on Parabolic Cable

T mid = \sqrt{({T s}^{2}) - ({(\frac{q \cdot L span}{2})}^{2})}

Go UDL given Tension at Supports for UDL on Parabolic Cable

q = \frac{\sqrt{({T s}^{2}) - ({T mid}^{2})} \cdot 2}{L span}

Go Span of Cable given Tension at Supports for UDL on Parabolic Cable

L cable_span = \frac{\sqrt{({T s}^{2}) - ({T m}^{2})} \cdot 2}{W}

How to Evaluate Tension at Supports for UDL on Parabolic Cable?

Tension at Supports for UDL on Parabolic Cable evaluator uses Tension at Supports = sqrt((Tension at Midspan^2)+(Uniformly Distributed Load*Cable Span/2)^2) to evaluate the Tension at Supports, The Tension at Supports for UDL on Parabolic Cable formula is defined as the total force acting on the supports in both horizontal and vertical directions. Tension at Supports is denoted by T_s symbol.

How to evaluate Tension at Supports for UDL on Parabolic Cable using this online evaluator? To use this online evaluator for Tension at Supports for UDL on Parabolic Cable, enter Tension at Midspan (T_mid), Uniformly Distributed Load (q) & Cable Span (L_span) and hit the calculate button.

FAQs on Tension at Supports for UDL on Parabolic Cable

What is the formula to find Tension at Supports for UDL on Parabolic Cable?

The formula of Tension at Supports for UDL on Parabolic Cable is expressed as Tension at Supports = sqrt((Tension at Midspan^2)+(Uniformly Distributed Load*Cable Span/2)^2). Here is an example- 0.209859 = sqrt((196000^2)+(10000*15/2)^2).

How to calculate Tension at Supports for UDL on Parabolic Cable?

With Tension at Midspan (T_mid), Uniformly Distributed Load (q) & Cable Span (L_span) we can find Tension at Supports for UDL on Parabolic Cable using the formula - Tension at Supports = sqrt((Tension at Midspan^2)+(Uniformly Distributed Load*Cable Span/2)^2). This formula also uses Square Root (sqrt) function(s).

Can the Tension at Supports for UDL on Parabolic Cable be negative?

No, the Tension at Supports for UDL on Parabolic Cable, measured in Force cannot be negative.

Which unit is used to measure Tension at Supports for UDL on Parabolic Cable?

Tension at Supports for UDL on Parabolic Cable is usually measured using the Kilonewton[kN] for Force. Newton[kN], Exanewton[kN], Meganewton[kN] are the few other units in which Tension at Supports for UDL on Parabolic Cable can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Tension at Supports for UDL on Parabolic Cable Formula

Tension at Supports for UDL on Parabolic Cable Example

Tension at Supports for UDL on Parabolic Cable Solution

Tension at Supports for UDL on Parabolic Cable Formula Elements

Other formulas in Parabolic Cable Tension and Length category

How to Evaluate Tension at Supports for UDL on Parabolic Cable?

FAQs on Tension at Supports for UDL on Parabolic Cable

Variable Name