Problem $1.$ A floor system consists of a $10$ "reinforced concrete slab $($density $150pcf).$ There is

mechanical ductwork being supported by the floor that weighs $2$psf$.$ Assume the other structural elements

weigh $10$ psf$.$

a$)$ What is the total dead load of the floor system $($unfactored in psf$)?$

b$)$ Assume the live load is $40psf.$ What is the worst$-$case factored total floor load using ASD load

combinations?

c$)$ Assuming the live load is $40psf,$ what is the worst$-$case factored total floor load using LRFD load

combinations?

d$)$ Assuming the live load is $10$ psf$,$ what is the worst case factored total floor load using LRFD load

combinations?