1. (a) Calculate the tributary area, AT, for column 2A in the 4th floor (i.e. the column supporting the roof) to be used in calculation of total roof live load on column 1A (note that "roof live load" is different than "floor live load"). (b) Calculate the tributary area, AT, for column 1A in the 2nd floor to be used for calculation of floor live load acting on the column. c) Calculate the tributary area, AT, for column 1B in the 1st floor to be used for calculation of floor live load acting on the column. (d) Calculate the influence area, Al, for column 1B in the 1st floor for floor live load. e) For a specified live load of p. -40 psf, calculate the design floor live load, pr. [psf], for column 1B in the 1st floor using floor live load reduction from code (if allowed). (f) Using your answers from (c) through (e), calculate the axial force, P. [kip], acting at the top of column IB in the 1st floor due to floor live load. (g) If columns are 16 in. x 16 in. in x-sect, typical floor beams are 10 in. wide and 16 in. deep in x-sect., girders are 12 in. wide and 24 in. deep in x-sect, and the floor slab is 6 in. in thickness, calculate the axial dead load due to column, girder, beam, and slab weight acting at the top of column 1B in the first floor. Assume all of these elements are reinforced concrete with a unit weight of 150 lbs/ft³. Then calculate the factored axial load at the top of the column including both dead and live loads and the U=1.2D+ 1.6L load combination.

The second floor of a light manufacturing building is constructed from a 125 mm thick stone concrete slab with an added 100 mm cinder concrete as shown. If the suspended ceiling of the first floor consists of metal lath and gypsum plaster, determine the dead load for design in kN per square meter of the floor area. 125 mm concrete slab ceiling 100 mm cinder concrete ANS. 5.055 kN/m²

A vertical triangular gate with a horizontal top base that is 3m wide is 6m high. It is submerged in oil having a sp. gr. of 0.82 with its top base 2.5m below the fluid surface. Determine the location from the fluid surface in m of the total hydrostatic pressure acting on one side of the gate.

P2.15) Determine the dead load and live load for the second floor of a library in which any area can be used for stacks. Assume that there will be a steel channel ceiling system (2 psf) and asphalt tile on the floors. The floors are 6-in. reinforced concrete. Allowance should be provided for mechanical ducts.