Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
Rithik Agrawal has created this Calculator and 400+ more calculators!
M Naveen
National Institute of Technology (NIT), Warangal
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11 Other formulas that you can solve using the same Inputs

Time response in overdamped case
Time response in overdamped case=1-(e^(-(Damping ratio-sqrt((Damping ratio^2)-1))*(Natural frequency*Time period of oscillations))/(2*sqrt((Damping ratio^2)-1)*(Damping ratio-sqrt((Damping ratio^2)-1)))) GO
Time response in critically damped case
Time response in critically damped case=1-e^(-(Natural frequency*Time period of oscillations))*(1+(Natural frequency*Time period of oscillations)) GO
Bandwidth frequency
Bandwidth frequency=Natural frequency*sqrt(1-2*(Damping ratio)^2+sqrt(4*(Damping ratio)^4-4*(Damping ratio)^2+2)) 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
Time response in undamped case
Time response in undamped case=1-cos(Natural frequency*Time period of oscillations) GO
Time constant
Time constant=1/((Damping ratio-sqrt((Damping ratio)^2-1))*Natural frequency) GO
Damped natural frequency
Damped natural frequency=Natural frequency*sqrt(1-(Damping ratio)^2) GO
Resonant frequency
Resonant frequency=Natural frequency*sqrt(1-2*(Damping ratio)^2) 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
Delay time
Delay time=(1+(0.7*Damping ratio))/Natural frequency GO

8 Other formulas that calculate the same Output

Catenary Length measured from the Low Point of the Simple Cable with a UDL
Cable Span=(Midspan Tension/Uniformly Distributed Load)*sinh(Uniformly Distributed Load*Distance from Midpoint of Cable/Midspan Tension) GO
Span Length when Horizontal Component of Cable Tension for UDL is Given
Cable Span=sqrt(8*Sag of Cable at Midway between Supports*Midspan Tension)/Uniformly Distributed Load GO
Span of Cable when Tension at Supports for UDL on Parabolic Cable is Given
Cable Span=(sqrt((Tension at Supports^2)-(Midspan Tension^2))*2)/total uniformly distributed load GO
Catenary Length when Tension at any Point of the Simple Cable with a UDL is Given
Cable Span=sqrt(((Tension at Supports^2)-(Midspan Tension^2))/(Uniformly Distributed Load^2)) GO
Span of Cable when Length of Cable for UDL on Parabolic Cable is Given
Cable Span=1.5*Length of Cable-sqrt((2.25*Length of Cable^2)-8*(Maximum Sag^2)) 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
Span Length when Vertical Reaction at Supports is Given
Cable Span=Vertical Reaction at Supports*2/Uniformly Distributed Load GO
Span of Cable when Catenary Parameter for UDL on Catenary Parabolic Cable is Given
Cable Span=2*Catenary Parameter GO

Span of Cable when Natural frequency of each Cable is Given Formula

Cable Span=(Fundamental Vibration Mode*pi/Natural frequency)*sqrt(Maximum Tension/[g]*Uniformly Distributed Load)
L=(n*pi/ω<sub>n</sub>)*sqrt(T/[g]*q)
More formulas
Shear Capacity for Flexural Members GO
Shear Capacity for Girders with Transverse Stiffeners GO
Allowable Stress when Slenderness Ratio is Less than Cc GO
Allowable Stress when Slenderness Ratio is Equal to or Greater than Cc GO
Maximum Strength for Compression Members GO
Column Gross Effective Area when Maximum Strength is Given GO
Buckling Stress when Maximum Strength is Given GO
Q Factor GO
Steel Yield Strength when Q Factor is Given GO
Buckling Stress when Q Factor is Greater Than 1 GO
Buckling Stress when Q Factor is Less Than or Equal to 1 GO
Steel Yield Strength when Buckling Stress for Q Factor Less Than or Equal to 1 is Given GO
Steel Yield Strength when Buckling Stress for Q Factor Greater Than 1 is Given GO
Allowable Unit Load for Bridges using Structural Carbon Steel GO
Ultimate Unit Load for Bridges using Structural Carbon Steel GO
Allowable Unit Stress in Bending GO
Steel Yield Strength when Allowable Unit Stress in Bending is Given GO
Moment Gradient Factor when Smaller and Larger Beam End Moment is Given GO
Minimum Moment of Inertia of a Transverse Stiffener GO
Actual Stiffener Spacing when Minimum Moment of Inertia of a Transverse Stiffener is Given GO
Web Thickness when Minimum Moment of Inertia of a Transverse Stiffener is Given GO
Gross Cross-Sectional Area of Intermediate Stiffeners GO
Multiplier for allowable stress when flange bending stress does not exceed the allowable stress GO
Maximum bending strength for Symmetrical Flexural Compact Section for LFD of Bridges GO
Maximum bending strength for Symmetrical Flexural Braced Non-Compacted Section for LFD of Bridges GO
Minimum Flange Thickness for Symmetrical Flexural Compact Section for LFD of Bridges GO
Minimum Flange Thickness for Symmetrical Flexural Braced Non-Compact Section for LFD of Bridges GO
Minimum Web Thickness for Symmetrical Flexural Braced Non-Compact Section for LFD of Bridges GO
Minimum Web Thickness for Symmetrical Flexural Compact Section for LFD of Bridges GO
Maximum Unbraced Length for Symmetrical Flexural Compact Section for LFD of Bridges GO
Maximum Unbraced Length for Symmetrical Flexural Braced Non-Compact Section for LFD of Bridges GO
Ultimate Moment Capacity for Symmetrical Flexural Sections for LFD of Bridges GO
Steel yield strength for Compact Section for LFD when Maximum Bending Moment is Given GO
Steel yield strength for Braced Non-Compact Section for LFD when Maximum Bending Moment is Given GO
Steel yield strength for Braced Non-Compact Section for LFD when Minimum Flange Thickness is Given GO
Steel yield strength for Compact Section for LFD when Minimum Flange Thickness is Given GO
Steel yield strength for Compact Section for LFD when Minimum Web Thickness is Given GO
Steel yield strength for Compact Section for LFD when Maximum Unbraced Length is Given GO
Steel yield strength for Braced Non-Compact Section for LFD when Maximum Unbraced Length is Given GO
Plastic Section Modulus for Compact Section for LFD when Maximum Bending Moment is Given GO
Section Modulus for Braced Non-Compact Section for LFD when Maximum Bending Moment is Given GO
Width of Projection of Flange for Braced Non-Compact Section when Maximum Bending Moment is Given GO
Width of Projection of Flange for Compact Section for LFD when Minimum Flange Thickness is Given GO
Depth of Section for Compact Section for LFD when Minimum Web Thickness is Given GO
Unsupported length for Braced Non-Compact Section for LFD when Minimum Web Thickness is Given GO
Depth of Section for Braced Non-Compact Section for LFD when Maximum Unbraced Length is Given GO
Area of Flange for Braced Non-Compact Section for LFD when Maximum Unbraced Length is Given GO
Smaller Moment of unbraced length for Compact Section for LFD when Maximum Unbraced Length is Given GO
Ultimate Moment of unbraced length for Compact Section when Maximum Unbraced Length is Given GO
Allowable Bearing Stresses on Pins for Buildings for LFD GO
Allowable Bearing Stresses on Pins subject to rotation for Bridges for LFD GO
Allowable Bearing Stresses on Pins not subject to rotation for Bridges for LFD GO
Steel yield strength on Pins for Buildings for LFD when Allowable Bearing Stresses is Given GO
Steel yield strength on Pins subject to rotation for Bridges for LFD when Pin Stresses is Given GO
Steel yield strength on Pins not subject to rotation for Bridges for LFD when Pin Stresses is Given GO
Allowable Bearing Stress for expansion rollers and rockers where diameter is up to 635 mm GO
Allowable Bearing Stress for expansion rollers and rockers where diameter is from 635 mm to 3175 mm GO
Steel Yield Strength for milled surface when allowable Bearing Stress for d < 635 mm is Given GO
Steel Yield Strength for milled surface when allowable Bearing Stress for d > 635 mm is Given GO
Diameter of Roller or Rocker for milled surface when Allowable Stress is Given for d < 635 mm GO
Diameter of Roller or Rocker for milled surface when Allowable Stress is Given for d > 635 mm GO
Allowable Bearing Stress for high strength bolts GO
Tensile Strength of connected part when Allowable Bearing Stress for bolts is Given GO
Number of Connectors in Bridges GO
Force in Slab when Number of Connectors in Bridges is Given GO
Reduction Factor when Number of Connectors in Bridges is Given GO
Ultimate Shear Connector Strength when Number of Connectors in Bridges is Given GO
Force in Slab when Total Area of Steel Section is Given GO
Total Area of Steel Section when Force in Slab is Given GO
Steel Yield Strength when Total Area of Steel Section is Given GO
Force in Slab when Effective Concrete Area is Given GO
Effective Concrete Area when Force in Slab is Given GO
28-day Compressive Strength of Concrete when Force in Slab is Given GO
Minimum Number of Connectors for Bridges GO
Force in Slab at Maximum Positive Moments when Minimum Number of Connectors for Bridges is Given GO
Force in Slab at Maximum Negative Moments when Minimum Number of Connectors for Bridges is Given GO
Force in Slab at Maximum Negative Moments when Reinforcing Steel Yield Strength is Given GO
Reduction Factor when Minimum Number of Connectors in Bridges is Given GO
Ultimate Shear Connector Strength when Minimum Number of Connectors in Bridges is Given GO
Area of Longitudinal Reinforcing when Force in Slab at Maximum Negative Moments is Given GO
Reinforcing Steel Yield Strength when Force in Slab at Maximum Negative Moments is Given GO
Allowable Shear stress in Bridges GO
Steel Yield Strength when Allowable Shear stress for Flexural Members in Bridges GO
Shear Buckling Coefficient when Allowable Shear stress for Flexural Members in Bridges is Given GO
Natural frequency of each Cable GO
Cable Tension when Natural frequency of each Cable is Given GO
Fundamental Vibration Mode when Natural frequency of Each Cable is Given GO
Runoff Rate of Rainwater from a bridge during a Rainstorm GO
Average Rainfall Intensity when Runoff Rate of Rainwater from a bridge during a Rainstorm is Given GO
Drainage Area when Runoff Rate of Rainwater from a bridge during a Rainstorm is Given GO
Runoff Coefficient when Runoff Rate of Rainwater from a bridge during a Rainstorm is Given GO
Deck Width for handling the Rainwater Runoff to the Drain Scuppers GO
Shoulder Width when Deck Width for handling the Rainwater Runoff to the Drain Scuppers is Given GO
Traffic Lane when Deck Width for handling the Rainwater Runoff to the Drain Scuppers is Given GO

What is Cable?

Cables are flexible structures that support the applied transverse loads by the tensile resistance developed in its members. Cables are used in suspension bridges, tension leg offshore platforms, transmission lines, and several other engineering applications.

How to Calculate Span of Cable when Natural frequency of each Cable is Given?

Span of Cable when Natural frequency of each Cable is Given calculator uses Cable Span=(Fundamental Vibration Mode*pi/Natural frequency)*sqrt(Maximum Tension/[g]*Uniformly Distributed Load) to calculate the Cable Span, The Span of Cable when Natural frequency of each Cable is Given is defined as is total length in horizontal direction. Cable Span and is denoted by L symbol.

How to calculate Span of Cable when Natural frequency of each Cable is Given using this online calculator? To use this online calculator for Span of Cable when Natural frequency of each Cable is Given, enter Fundamental Vibration Mode (n), Natural frequency n), Maximum Tension (T) and Uniformly Distributed Load (q) and hit the calculate button. Here is how the Span of Cable when Natural frequency of each Cable is Given calculation can be explained with given input values -> 10032.05 = (10*pi/10)*sqrt(10000/[g]*10000).

FAQ

What is Span of Cable when Natural frequency of each Cable is Given?
The Span of Cable when Natural frequency of each Cable is Given is defined as is total length in horizontal direction and is represented as L=(n*pi/ωn)*sqrt(T/[g]*q) or Cable Span=(Fundamental Vibration Mode*pi/Natural frequency)*sqrt(Maximum Tension/[g]*Uniformly Distributed Load). Fundamental Vibration Mode is integral value denoting the mode of vibration. , Natural frequency is the frequency at which a system tends to oscillate in the absence of any driving or damping force, Maximum Tension occurs at the supports is cum of both horizontal and vertical force and Uniformly distributed load is a force applied over an area or length, denoted by q which is force per unit length.
How to calculate Span of Cable when Natural frequency of each Cable is Given?
The Span of Cable when Natural frequency of each Cable is Given is defined as is total length in horizontal direction is calculated using Cable Span=(Fundamental Vibration Mode*pi/Natural frequency)*sqrt(Maximum Tension/[g]*Uniformly Distributed Load). To calculate Span of Cable when Natural frequency of each Cable is Given, you need Fundamental Vibration Mode (n), Natural frequency n), Maximum Tension (T) and Uniformly Distributed Load (q). With our tool, you need to enter the respective value for Fundamental Vibration Mode, Natural frequency, Maximum Tension and Uniformly Distributed Load 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 Cable Span?
In this formula, Cable Span uses Fundamental Vibration Mode, Natural frequency, Maximum Tension and Uniformly Distributed Load. We can use 8 other way(s) to calculate the same, which is/are as follows -
  • Cable Span=sqrt(8*Midspan Tension*Maximum Sag/Uniformly Distributed Load)
  • Cable Span=(sqrt((Tension at Supports^2)-(Midspan Tension^2))*2)/total uniformly distributed load
  • Cable Span=1.5*Length of Cable-sqrt((2.25*Length of Cable^2)-8*(Maximum Sag^2))
  • Cable Span=2*Catenary Parameter
  • Cable Span=(Midspan Tension/Uniformly Distributed Load)*sinh(Uniformly Distributed Load*Distance from Midpoint of Cable/Midspan Tension)
  • Cable Span=sqrt(((Tension at Supports^2)-(Midspan Tension^2))/(Uniformly Distributed Load^2))
  • Cable Span=sqrt(8*Sag of Cable at Midway between Supports*Midspan Tension)/Uniformly Distributed Load
  • Cable Span=Vertical Reaction at Supports*2/Uniformly Distributed Load
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