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
M Naveen has verified this Calculator and 100+ more calculators!

11 Other formulas that you can solve using the same Inputs

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
UDL when Tension at Supports for UDL on Parabolic Cable is Given
Uniformly Distributed Load=(sqrt((Tension at Supports^2)-(Midspan Tension^2))*2)/Cable Span 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

Natural frequency of each Cable Formula

Natural frequency=(Fundamental Vibration Mode*pi/Cable Span)*sqrt(Maximum Tension*[g]/Uniformly Distributed Load)
ω<sub>n</sub>=(n*pi/L)*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
Span of Cable when Natural frequency of each Cable is Given 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 the natural frequency of a system?

Natural frequency, also known as eigenfrequency, is the frequency at which a system tends to oscillate in the absence of any driving or damping force. The motion pattern of a system oscillating at its natural frequency is called the normal mode (if all parts of the system move sinesuoidally with that same frequency).

How to Calculate Natural frequency of each Cable?

Natural frequency of each Cable calculator uses Natural frequency=(Fundamental Vibration Mode*pi/Cable Span)*sqrt(Maximum Tension*[g]/Uniformly Distributed Load) to calculate the Natural frequency, The Natural frequency of each Cable is defined as frequency at which system will vibrate when loaded with dynamic load. Natural frequency and is denoted by ωn symbol.

How to calculate Natural frequency of each Cable using this online calculator? To use this online calculator for Natural frequency of each Cable, enter Fundamental Vibration Mode (n), Cable Span (L), Maximum Tension (T) and Uniformly Distributed Load (q) and hit the calculate button. Here is how the Natural frequency of each Cable calculation can be explained with given input values -> 9.838077 = (10*pi/10)*sqrt(10000*[g]/10000).

FAQ

What is Natural frequency of each Cable?
The Natural frequency of each Cable is defined as frequency at which system will vibrate when loaded with dynamic load and is represented as ωn=(n*pi/L)*sqrt(T*[g]/q) or Natural frequency=(Fundamental Vibration Mode*pi/Cable Span)*sqrt(Maximum Tension*[g]/Uniformly Distributed Load). Fundamental Vibration Mode is integral value denoting the mode of vibration. , Cable Span is total length of cable in horizontal direction, 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 Natural frequency of each Cable?
The Natural frequency of each Cable is defined as frequency at which system will vibrate when loaded with dynamic load is calculated using Natural frequency=(Fundamental Vibration Mode*pi/Cable Span)*sqrt(Maximum Tension*[g]/Uniformly Distributed Load). To calculate Natural frequency of each Cable, you need Fundamental Vibration Mode (n), Cable Span (L), Maximum Tension (T) and Uniformly Distributed Load (q). With our tool, you need to enter the respective value for Fundamental Vibration Mode, Cable Span, 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.
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