Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
Rithik Agrawal has created this Calculator and 300+ more calculators!
Mridul Sharma
Indian Institute of Information Technology (IIIT), Bhopal
Mridul Sharma has verified this Calculator and 200+ 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

1 Other formulas that calculate the same Output

Cable Tension when Natural frequency of each Cable is Given
Maximum Tension=((Natural frequency*Cable Span/Fundamental Vibration Mode*pi)^2)*Uniformly Distributed Load/[g] GO

Maximum Reactions at Supports Formula

Maximum Tension=(Uniformly Distributed Load*Cable Span/2)*sqrt(1+((Cable Span^2)/(16*Sag of Cable at Midway between Supports^2)))
T=(q*L/2)*sqrt(1+((L^2)/(16*f^2)))
More formulas
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
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 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 Maximum Reactions at Supports?

Maximum Reactions at Supports calculator uses Maximum Tension=(Uniformly Distributed Load*Cable Span/2)*sqrt(1+((Cable Span^2)/(16*Sag of Cable at Midway between Supports^2))) to calculate the Maximum Tension, The Maximum Reactions at Supports is defined as summation of horizontal and vertical force acting at any point in the cable. Maximum Tension and is denoted by T symbol.

How to calculate Maximum Reactions at Supports using this online calculator? To use this online calculator for Maximum Reactions at Supports, enter Uniformly Distributed Load (q), Cable Span (L) and Sag of Cable at Midway between Supports (f) and hit the calculate button. Here is how the Maximum Reactions at Supports calculation can be explained with given input values -> 51.53882 = (10000*10/2)*sqrt(1+((10^2)/(16*10^2))).

FAQ

What is Maximum Reactions at Supports?
The Maximum Reactions at Supports is defined as summation of horizontal and vertical force acting at any point in the cable and is represented as T=(q*L/2)*sqrt(1+((L^2)/(16*f^2))) or Maximum Tension=(Uniformly Distributed Load*Cable Span/2)*sqrt(1+((Cable Span^2)/(16*Sag of Cable at Midway between Supports^2))). Uniformly distributed load is a force applied over an area or length, denoted by q which is force per unit length, Cable Span is total length of cable in horizontal direction and Sag of Cable at Midway between Supports is vertical sag at midpoint of cable.
How to calculate Maximum Reactions at Supports?
The Maximum Reactions at Supports is defined as summation of horizontal and vertical force acting at any point in the cable is calculated using Maximum Tension=(Uniformly Distributed Load*Cable Span/2)*sqrt(1+((Cable Span^2)/(16*Sag of Cable at Midway between Supports^2))). To calculate Maximum Reactions at Supports, you need Uniformly Distributed Load (q), Cable Span (L) and Sag of Cable at Midway between Supports (f). With our tool, you need to enter the respective value for Uniformly Distributed Load, Cable Span and Sag of Cable at Midway between Supports 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 Maximum Tension?
In this formula, Maximum Tension uses Uniformly Distributed Load, Cable Span and Sag of Cable at Midway between Supports. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Maximum Tension=((Natural frequency*Cable Span/Fundamental Vibration Mode*pi)^2)*Uniformly Distributed Load/[g]
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