A 10 X 10 three-story precast building with a floor area of 100 m2 with 30 cm thick concrete walls in a large earthquake with an acceleration of 1.5g has some overturning moment tendency.
Wanted 1. how much does the precast weigh
2.the inertia and shear base created at the 1.5g acceleration
3. plus the magnitude of the overturning moment of the entire building.
The building weighs 340 tons
Payload is 80kg/m2 = 24 tons
The floors another 24 tons
The building finally weighs 340+24+24= 388 tons without the base.
Inertia and base intercept = mass X acceleration = 388 ton X 1.5g = 582 tons
Overturning moment = height X inertia = the first floor is 3 m high the second 6 and the third 9 total 3+6+9 = 18m
Each of the three floors has an inertia of 582/3 = 194 tons
18mX194ton = 3492 ton overturning moment
But the precast as a rigid structure has a double lever arm, that of the height and that of the width.
So we divide the torque of 3492 tons by the width of the building which is 10 meters 3492/10 = 349 tons.
Every single anchor I have can withstand 100 tons of torque at two meters depth.
If we place 8 anchors around the perimeter, we will not have any loss of support from the ground due to the total withdrawal of the area of the base of the building, so no damage in the earthquake of 1.5g acceleration.
A 300 sq.m pre-fab house costs 310,000 euros finished today + 30,000 the eight anchors = 340,000 euros and you have the most earthquake-proof house in the world.
A conventional house today costs 2,000 euros per sq.m when finished, 300 sq.m costs 600,000 euros.
Choose.
https://www.youtube.com/watch?v=XsHC9WJwgyU
My proposal for anti-seismic constructions is to prestress the sides of the reinforced concrete walls as well as to compact them with the foundation soil at the same time.
Prestressing + compaction on the sides of the walls Prestressing (generally compression) on the sidewalls has very positive effects, as it improves the oblique tensile trajectories. On the other hand you also have the other good thing... the non-shear failure of the cover concrete due to the high tensile strength of the steel, the reduced cracking and the increase in the elastic and dynamic displacement area due to compression, which increases the effective cross-section and stiffness of the structure, and most importantly increases the response of the cross-section to the intersecting base. If prestressing is combined with compaction in the soil then we divert the seismic loads into the soil, prevent the moments at the nodes, control the eigenperiod and ensure soil samples and a strong foundation.
https://www.youtube.com/watch?v=zhkUlxC6IK4&t=72s