1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Tension in a cable supporting a hinged beam

  1. Feb 18, 2013 #1
    I have tried to complete the following question by taking moments about point A, but to no avail. Could anybody help me with where i am going wrong. Do I need to include perpendicular distance?

    The I-beam A-B shown below is supported by a cable at B and a pin at A. The cable is inclined at an angle, θ = 21° to the longitudinal axis of the beam. The beam supports a load, m, of 12 kN at a distance mx = 1.5 m from B.

    example_zpsed2967d3.png

    If the mass of the beam is 95 kg/m and its total weight can be assumed to act through the centre of gravity of the beam, calculate:

    a) the cable tension, T

    b) the resultant force acting on the pin at A.

    Given:

    Ax = 0.12 m, Beam Depth, D = 0.5 m, Beam Length, L = 5 m, Gravity, g = 9.81 m/s2



    Part a)

    Weight of beam = 4.65975 kN

    By taking moments about A, T = 26.09±0.2 kN

    Part b)

    To determine the resultant at A, calculate the horizontal and vertical reactions AH and AV respectively:

    AH = 24.36±0.2 kN

    AV = 7.31±0.2 kN

    Therefore, the resultant (using Pythagoras), R = 25.43±0.2 kN
    Incorrect

    Here is my solution to the cable tension

    (4.88)(T)(sin21)+(111.834x0.06)-(4.5479x10^3)(2.44)-(12x10^3)(3.38)=0

    1.7488(T)=+6.7098+11.0968x10^3+40.56x10^3

    1.7488(T)=51650.0902

    (T)= (51.65x10^3)/1.7488 =29.53kn
     
  2. jcsd
  3. Feb 18, 2013 #2

    Simon Bridge

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member
    2016 Award

    You need to show your working. i.e. how did you compute the moments?
    It helps to do the algebra with the variables first and then plug the numbers in.
    If you didn't take into account the beam "depth" D, you should give that a try.
    Use the model answer to clue you in to how far out you are.
     
    Last edited: Feb 18, 2013
  4. Feb 18, 2013 #3
    Sorted the question before looking on here, was simply solved by extending the length of the cable to where it intersected the centreline of the beam and using this point in the x axis as the distance. Thanks for your help
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Tension in a cable supporting a hinged beam
  1. Simply supported beam (Replies: 4)

Loading...