A 3-story building sits atop several columns.  The top of the columns can only move 5.00 cm laterally with respect to the bottom before failing.  An earthquake tremor with a ground displacement of 0.750 cm induces resonance. If the natural period of the structure is 2.50 s and the tremor lasts 7.00 s, will the columns survive?  You will need to use : Δ x = π D t T D is the ground displacement, t is the tremor duration and T is the period of the structure.

12.7 The lateral force that is generated during building shaking can be calculated with the equation: Force = mass x acceleration, Based on this, which one of the following statement(s) is correct? ⚫ A building's total seismic design force is proportional to its weight. ⚫ Seismic forces are applied at the ground level; therefore, a building's upper floors have very small seismic force. ⚫ The largest seismic force is generated at the upper floors where they have the highest acceleration. . Seismic protective devises that dampen (reduce) building acceleration may be used to reduce the building seismic force. 12.8 Given five-story building, that weighs a 100kips and has concrete shear walls and special moment-resisting frames: a) Determine Response Modification Factor, R, from ASCE 7, Table 12.2-1 for Dual System of Special Moment Frame and Special reinforced concrete shear wall (Type D-3) b) Calculate Seismic Base Shear (V) using the following ASCE 7 equations and building information:…

Problem 3.13 Determine the natural frequency, amplitude of vibration, and maximum normal stress in the simple supported beam carrying an engine of weight W = 30 KN (Fig. P3.13). The engine rotates at 400 rpm and induces a vertical force F(t) = 8 sin@t. (E 210 × 10 N/m², I = 8950 × 10¯8 m², S=597 × 106 m³) = (Problem contributed by Vladimir N. Alekhin and Aleksey A. Antipin of the Urals State University, Russia) Fig. P3.13 1.5m W 4.5m

A uniformly increasing load of 35 kN/m is applied downward in a 5 m long beam of the frame structure from point a to the roller support, as shown in the Figure 6. The frame structure has 6 m long inclined column member and carries a uniformly distributed load of a 6 kN/m at an angle of 50 degrees. If the column member has 250 mm diameter cross-section at 20 mm thick, determine the maximum axial stress (MPa) developed in column section. a Figure 6 0