(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A framework of pin jointed members has to be designed to support a plug introduced into the reservoir wall to prevent leakage and further progression of a crack along the wall. The plug is cylindrical, has a diameter of 0.35 m and is supported by a single pin joint. The frame is anchored to the ground using a pin joint and a roller joint. Firstly, design the simplest framework to hold the plug in place. The problem is to be presented and solved as a system of equations using MathCAD.

2. Relevant equations

It is deriving the equations on the joints and beams that I am having trouble with.

3. The attempt at a solution

So far I have a diagram of the frame work:

and have worked out the force that is being excerted on the plug:

But I'm having trouble comming up with the 6 equations involving (F1, F2, F3, H2, V2 and V3). Now I think all of the equations will be equal to 0, apart from the sum of the vertical forces in joint 1 which will be equal to 9808 N, and the sum of the horizontal components in joint 1 which will be equal to 5663 N. Apart from that I'm at a loss and don't really understand how to get the equations.

Any help would be greatley appreciated.

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# Homework Help: Mechanical Engineering - Pin joint Framework problem

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