Final answer:
To calculate the stress increase at depths of 20, 35, and 55 feet below the ground surface, under the corner of the building, you need to consider the load increases due to an 8-foot square spread footing bearing at the existing ground surface, a 192K column load, the weight of five feet of fill placed to form the building pad, and a 1,000 lb/ft² floor load acting over the entire footprint of the building. Add the three load increases together to determine the total stress increase at each depth interval.
Step-by-step explanation:
To calculate the stress increase at depths of 20, 35, and 55 feet below the ground surface, under the corner of the building, we need to consider the load increases due to the following factors:
- An 8-foot square spread footing bearing at the existing ground surface, carrying a 192K column load.
- The weight of five feet of fill placed to form the building pad, consisting of sand and gravel compacted at a moist unit weight of 140 lbs/ft³.
- A 1,000 lb/ft² floor load acting over the entire footprint of the building.
First, let's calculate the stress increase at each depth interval:
- At 20 feet below the ground surface:
- Stress increase due to the footing: Calculate the stress increase caused by the 192K column load on the 8-foot square spread footing.
- Stress increase due to the fill: Calculate the stress increase caused by the weight of five feet of fill placed to form the building pad.
- Stress increase due to the floor load: Calculate the stress increase caused by the 1,000 lb/ft² floor load acting over the entire footprint of the building.
- At 35 feet below the ground surface:
- Repeat the same calculations for the stress increase at this depth interval.
- At 55 feet below the ground surface:
- Repeat the same calculations for the stress increase at this depth interval.
Finally, add the three load increases together to determine the total stress increase at each depth interval.