ENCI 551 – Structural Engineering II
Tutorial 3 Solution
Step 1: Find i, the degree of indeterminacy of the structure, then make the structure determinate.
We should find by inspection i = 1, if you are not convinced, verify by:
In the problem, we are told to use the fixed support as our release. So, the released structure is:
Step 2: Apply real external loads to the beam and acquire the “erroneous” displacement at where we
released the structure
We can use the method of superposition to find the release displacemen1 D :
Uniform Distributed Load q:
1UDL Equation B.3, Appendix B, (Ghali, Neville, and Brown, 2009)
Point Load ql:
Equation B.7 or B.8, Appendix B, (Ghali, Neville, and Brown, 2009)
Adding them together:
NOTE: Because we defined F as 1ositive in the clockwise direction, D is 1EGATIVE as it is in the
counter-clockwise direction with respect to the horizontal.
Step 3: Find the f