Tension at Midspan when Parabolic Equation for the Cable Slope is Given Calculator

Category	Engineering ↺
Engineering	Civil ↺
Civil	Bridge and Suspension Cable ↺
Bridge-And-Suspension-Cable	General Relations for Suspension Cables ↺
General-Relations-For-Suspension-Cables	Parabola ↺

✖Uniformly distributed load is a force applied over an area or length, denoted by q which is force per unit length.ⓘ Uniformly Distributed Load [q]			+10% -10%
✖Distance from Midpoint of Cable is horizontal distance where vertical length is to be calculated.ⓘ Distance from Midpoint of Cable [x]			+10% -10%
✖Parabolic Equation of Cable Slope is general form representation of simple loaded cable.ⓘ Parabolic Equation of Cable Slope [y]			+10% -10%

✖Midspan Tension is the total tension acting in cable at midpoint.ⓘ Tension at Midspan when Parabolic Equation for the Cable Slope is Given [H]

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Tension at Midspan when Parabolic Equation for the Cable Slope is Given

Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Calculator and 400+ more calculators!

Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has verified this Calculator and 100+ more calculators!

< 11 Other formulas that you can solve using the same Inputs

Parabolic Equation for the Cable Slope

Parabolic Equation of Cable Slope=Uniformly Distributed Load*(Distance from Midpoint of Cable^2)/(2*Midspan Tension) GO

Maximum and Center Deflection of Simply Supported Beam carrying UDL over its entire Length

Deflection=(5*Uniformly Distributed Load*(Length^4))/(384*Modulus Of Elasticity*Area Moment of Inertia) GO

Condition for Maximum Moment in Interior Spans of Beams

Point of Maximum Moment=(Length/2)-(Maximum Bending Moment/(Uniformly Distributed Load*1000*Length)) GO

Tension at Supports for UDL on Parabolic Cable is Given

Tension at Supports=sqrt((Midspan Tension^2)+(Uniformly Distributed Load*Length of Cable/2)^2) GO

Tension at Midspan when Tension at Supports for UDL on Parabolic Cable is Given

Midspan Tension=sqrt((Tension at Supports^2)-(((Uniformly Distributed Load*Cable Span)/2)^2)) GO

Maximum Sag when Tension at Midspan for UDL on Parabolic Cable is Given

Maximum Sag=Uniformly Distributed Load*(Length of Cable^2)/(8*Midspan Tension) GO

Tension at Midspan for UDL on Parabolic Cable

Midspan Tension=(Uniformly Distributed Load*(Cable Span^2))/(8*Maximum Sag) GO

Span of Cable when Tension at Midspan for UDL on Parabolic Cable is Given

Cable Span=sqrt(8*Midspan Tension*Maximum Sag/Uniformly Distributed Load) GO

Fixed End Moment of a Fixed Beam having UDL over its entire Length

Fixed End Moment =(Uniformly Distributed Load*(Length^2))/12 GO

Bending Moment of a Cantilever Subject to UDL Over its Entire Span

Bending Moment =(-Uniformly Distributed Load*Length^2)/2 GO

Bending Moment of Simply Supported Beams with Uniformly Distributed Load

Bending Moment =(Uniformly Distributed Load*Length^2)/8 GO

< 4 Other formulas that calculate the same Output

Horizontal Component of Cable Tension for UDL

Midspan Tension=Uniformly Distributed Load*(Cable Span^2)/(8*Sag of Cable at Midway between Supports) GO

Tension at Midspan when Tension at Supports for UDL on Parabolic Cable is Given

Midspan Tension=sqrt((Tension at Supports^2)-(((Uniformly Distributed Load*Cable Span)/2)^2)) GO

Tension at Midspan when Tension at any Point of the Simple Cable with a UDL is Given

Midspan Tension=sqrt((Tension at Supports^2)-((Uniformly Distributed Load*Cable Span)^2)) GO

Tension at Midspan for UDL on Parabolic Cable

Midspan Tension=(Uniformly Distributed Load*(Cable Span^2))/(8*Maximum Sag) GO

Tension at Midspan when Parabolic Equation for the Cable Slope is Given Formula

Midspan Tension=(Uniformly Distributed Load*Distance from Midpoint of Cable^2)/(2*Parabolic Equation of Cable Slope)
H=(q*x^2)/(2*y)

More formulas

UDL when Tension at Midspan for UDL on Parabolic Cable is Given GO

Catenary Length measured from the Low Point of the Simple Cable with a UDL GO

Tension at any Point when Catenary Length of the Simple Cable with a UDL is Given GO

Tension at Midspan when Tension at any Point of the Simple Cable with a UDL is Given GO

UDL when Tension at any Point of the Simple Cable with a UDL is Given GO

Catenary Length when Tension at any Point of the Simple Cable with a UDL is Given GO

UDL when Parabolic Equation for the Cable Slope is Given GO

Horizontal Component of Cable Tension for UDL GO

UDL when Horizontal Component of Cable Tension for UDL is Given GO

Span Length when Horizontal Component of Cable Tension for UDL is Given GO

Sag of Cable at midway between supports when Horizontal Component of Cable Tension for UDL is Given GO

Vertical Reaction at Supports GO

UDL when Vertical Reaction at Supports is Given GO

Span Length when Vertical Reaction at Supports is Given GO

Maximum Reactions at Supports GO

UDL when Maximum Reactions at Supports is Given GO

Sag of Cable at midway between supports when Maximum Reactions at Supports is Given GO

Length of cable between Supports GO

What is Parabolic Cable ?

Parabolic Cable is a cable carrying a horizontally distributed load, then cable form a parabola or is called parabolic cable. Example: The cable carrying a bridge is a parabolic cable

How to Calculate Tension at Midspan when Parabolic Equation for the Cable Slope is Given?

Tension at Midspan when Parabolic Equation for the Cable Slope is Given calculator uses Midspan Tension=(Uniformly Distributed Load*Distance from Midpoint of Cable^2)/(2*Parabolic Equation of Cable Slope) to calculate the Midspan Tension, The Tension at Midspan when Parabolic Equation for the Cable Slope is Given is defined as maximum horizontal tension occurring in the cable due uniform load at midpoint of cable. Midspan Tension and is denoted by H symbol.

How to calculate Tension at Midspan when Parabolic Equation for the Cable Slope is Given using this online calculator? To use this online calculator for Tension at Midspan when Parabolic Equation for the Cable Slope is Given, enter Uniformly Distributed Load (q), Distance from Midpoint of Cable (x) and Parabolic Equation of Cable Slope (y) and hit the calculate button. Here is how the Tension at Midspan when Parabolic Equation for the Cable Slope is Given calculation can be explained with given input values -> 500000 = (10000*10^2)/(2*1).

FAQ

What is Tension at Midspan when Parabolic Equation for the Cable Slope is Given?

The Tension at Midspan when Parabolic Equation for the Cable Slope is Given is defined as maximum horizontal tension occurring in the cable due uniform load at midpoint of cable and is represented as H=(q*x^2)/(2*y) or Midspan Tension=(Uniformly Distributed Load*Distance from Midpoint of Cable^2)/(2*Parabolic Equation of Cable Slope). Uniformly distributed load is a force applied over an area or length, denoted by q which is force per unit length, Distance from Midpoint of Cable is horizontal distance where vertical length is to be calculated and Parabolic Equation of Cable Slope is general form representation of simple loaded cable.

How to calculate Tension at Midspan when Parabolic Equation for the Cable Slope is Given?

The Tension at Midspan when Parabolic Equation for the Cable Slope is Given is defined as maximum horizontal tension occurring in the cable due uniform load at midpoint of cable is calculated using Midspan Tension=(Uniformly Distributed Load*Distance from Midpoint of Cable^2)/(2*Parabolic Equation of Cable Slope). To calculate Tension at Midspan when Parabolic Equation for the Cable Slope is Given, you need Uniformly Distributed Load (q), Distance from Midpoint of Cable (x) and Parabolic Equation of Cable Slope (y). With our tool, you need to enter the respective value for Uniformly Distributed Load, Distance from Midpoint of Cable and Parabolic Equation of Cable Slope and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Midspan Tension?

In this formula, Midspan Tension uses Uniformly Distributed Load, Distance from Midpoint of Cable and Parabolic Equation of Cable Slope. We can use 4 other way(s) to calculate the same, which is/are as follows -

Midspan Tension=(Uniformly Distributed Load*(Cable Span^2))/(8*Maximum Sag)
Midspan Tension=sqrt((Tension at Supports^2)-(((Uniformly Distributed Load*Cable Span)/2)^2))
Midspan Tension=sqrt((Tension at Supports^2)-((Uniformly Distributed Load*Cable Span)^2))
Midspan Tension=Uniformly Distributed Load*(Cable Span^2)/(8*Sag of Cable at Midway between Supports)

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