Given the element equations derived in class for the 2-node beam element as follows:
[12 6L 12 6L V1 EI 79 412 6L 212 L3 12 79 12 6L V2 6L 212 6L 412 $2
fi m1 fz m2
Consider the beam shown in Figure 1.
y,v(x)
2
3
Figure 1.
with E=210 GPa, I=2.10^-4 m^4, L=3m, and P=50 kN
Write down the boundary conditions (known DOFs). Write down the reduced global matrix system of equations including the force vector. Solve for the unknown displacements and rotations at nodal positions. (10 pts)
