Do LRFD load equations account for lateral loads?
Answer:
Lateral loads are something that you have to calculate and then apply these loads to your structure. The load combinations define which loads get combined with other loads, ie. Dead + Live or Dead + wind or seismic.
Depending on what code you are using, the load combinations are clearly defined.
If you have a drilled shaft (caisson is the wrong term) subjected to vertical and lateral loads, you need to you a program called L-pile or COM624P.
Methinks you need to consult with a geotechnical engineer who can help you.
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