Lesson Friday September 26th#
During today’s lesson you’ll work on a complex exercise on the topic of extension and Williot. Please ask your questions regarding the homework as well!
Exercise Williot#
Given the following structure.
Find the elongation/shrinkage of each elements
Find the displacement of all joints
Draw the displaced structure
Solution assignment 1
Element |
Elongation \(\left(+\right)\) / shrinkage \(\left(-\right)\) \(\left( \rm{mm} \right)\) |
|---|---|
\(\rm{AC}\) |
\(+4\) |
\(\rm{CB}\) |
\(+2\) |
\(\rm{AD}\) |
\(-2 \sqrt{5}\) |
\(\rm{CD}\) |
\(+3\) |
\(\rm{BD}\) |
\(-2 \sqrt{2}\) |
Solution assignment 2
joint |
Displacement in horizontal direction → \(\left( \rm{mm}\right)\) |
Displacement in vertical direction ↓ \(\left( \rm{mm}\right)\) |
|---|---|---|
\(\rm{A}\) |
\(0\) |
\(0\) |
\(\rm{B}\) |
\(6\) |
\(0\) |
\(\rm{C}\) |
\(4\) |
\(13\) |
\(\rm{D}\) |
\(0\) |
\(10\) |
Solution assignment 3
