1. SHEAR BUILDINGS
For the shear building shown, determine the natural frequencies (RAD/SEC) and the modal matrix. Also, sketch the deflected buildings in their normal modes using the top floor as the reference floor (set its displacement = unity). Finally, demonstrate orthogonality between the modes with example calculation.
• Each k factor (stiffness) = 15,000 LB/IN (that is, k1=k2=k3=k4=15,000 LB/IN)
• m1 = 50 LB-SEC2/IN
• m2 = 150 LB-SEC2/IN
• Rigid crossbars