Method of Tension Coefficients

The method of tension coefficients is a tabular technique of carrying out joint resolution in either two or three dimensions. It is ideally suited to the analysis of pin-jointed space-frames.

Consider an individual member from a pin-jointed plane-frame, e.g. member AB shown in Figure 3.8 with reference to a particular X-Y co-ordinate system.

If AB is a member of length LAB having a tensile force in it of TAB, then the components of this force in the X and Y directions are TAB Cos0 and TAB Sin0 respectively.

If the co-ordinates of A and B are (XA, YA) and (XB, YB), then the component of TAB in the x-direction is given by :

Figure 3.8 where

and is known as the tension coefficient of the bar. Similarly, the component of TAb in the y-direction is given by:

If at joint A in the frame there are a number of bars, i.e. AB, AC ... AN, and external loads XA and YA acting in the X and Y directions, then since the joint is in equilibrium the sum of the components of the external and internal forces must equal zero in each of those directions.

Expressing these conditions in terms of the components of each of the forces then gives:

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Responses

  • valtteri
    How can method of tension coefficient be used to analys truss?
    3 years ago
  • INIGO
    What is tenssion co officient?
    3 years ago
  • Olo
    What is known as tension coefficient member?
    3 years ago
  • aimee
    What is the method of substitution and method of tension coefficient?
    3 years ago
  • FASTOLPH
    How to solve space truss problem by tension coefficient method?
    3 years ago
  • Ofelia
    How to find the coordinates of space trusses by tension coefficient method?
    3 years ago
  • Sky
    What is teNion oefrcient?
    3 years ago
  • savannah
    What is tension cofficient?
    3 years ago
  • Iida Sukki
    How to solve frames by tension method?
    3 years ago
  • ROOPE
    How to Solve questions using tension Coefficient method?
    3 years ago
  • Sandra
    What is method of tension coffecient ?
    3 years ago
  • Gerardina
    How to determine Tension coefficient method?
    3 years ago
  • Benjamin Schwartz
    How to use method of tension coefficient on cantileavers?
    3 years ago
  • ubalda ferrari
    What is method of tenson coefficient?
    3 years ago
  • CODEY
    What is tension co effient?
    3 years ago
  • Chiaffredo
    What is tension coeffecient?
    3 years ago
  • GEBRE
    What type of structure tension coefficient metho is employed?
    3 years ago
  • Robert
    What is tension cooefficit method?
    2 years ago
  • Chilimanzar Goold
    How take an origin to solve by tention coefficient method in structure analysis in civil be?
    2 years ago
  • neftalem
    How to calculate tension coefficient method?
    2 years ago
  • mimosa
    How to use tension coefficient to determine the force in the members of a frame?
    2 years ago
  • ann
    What are the applications of tension coefficient method of analysis of trusses?
    2 years ago
  • marie
    How to find out space truss coordinates?
    2 years ago
  • EUGENE
    What is the tension coefficient of member force?
    2 years ago
  • milen
    What are the merits of tension coefficient method?
    2 years ago
  • alfredo
    How to use method of tension coefficients for determine the forces in fraames with example?
    2 years ago
  • EIJA-RIITT WIDEROOS
    HOW DO YOU RESOLVE TENSION COEFFICIENT METHOD?
    2 years ago
  • ambessa
    Why is tension coefficient method for analysis is beytet?
    2 years ago
  • CLAUDIA
    How to find c o rfinate in coeficent tension methida?
    2 years ago
  • gebre saare
    What is the method of tension coefficient explain with a suitable example?
    2 years ago
  • Meaza Yemane
    How to calculate a statically determinate structure using tension coefficient method?
    2 years ago
  • David
    How to calculate forces in members of a frame using tension coefficient.?
    2 years ago
  • laura
    What is tension coeffient of solving truss about?
    2 years ago
  • emilio
    What is tension coefficient to determine the forces?
    2 years ago
  • Rahel
    How to find the coefficients of forces in trusses?
    2 years ago
  • NADINE
    What is tensio coefficient?
    2 years ago
  • Megan Bruce
    What is coeffient of reskicity?
    2 years ago
  • tiblets
    How to analyze coordinates in space truss?
    2 years ago
  • John
    What is the tension cofficient of truss member?
    2 years ago
  • Maarit
    What are the steps in calculating a frame structures using tension cofficient method?
    2 years ago
  • MEWAEL DAHLAK
    How to analyze a frame using tension coefficient method?
    2 years ago
  • Anne
    How to determine forces in members of structures, using tension coefficient methods.?
    1 year ago
  • Edward
    How to calculate tension coefficient of a section?
    1 year ago
  • SEMRAWIT
    What is definison tension coefficient?
    1 year ago
  • cora
    What is tension coefficient and how it can be used to find member force?
    1 year ago
  • peter niskavaara
    How to solved the forces in a frame by tension coefficient?
    1 year ago
  • jemma
    How to calculate plane frame using tension coefficient method?
    1 year ago
  • thomas hardy
    How to find co ordinates in tension coefficient method?
    11 months ago
  • alix
    When to use method of tnsion coefficient?
    5 months ago
  • ferdinand
    What is tension co effecient in structural analysis an steps in the calculations?
    3 months ago

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