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.
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.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
![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, AI, 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, pz [psf], for column IB in the Ist
floor using floor live load reduction from code (if allowed).
() Using your answers from (c) through (e), calculate the axial force, P. [kip], acting at the top of column 1B in
the Ist 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.
2. (a) Calculate the tributary width for a "typical" floor beam (see figure for "typical floorbeam').
(b) Caleulate AT for a typical floor beam.
(c) Calculate the influence area, AI, for a typical floor beam.
(d) For the code specified live load of po = 40 psf, calculate the design floor live load, pL [psf], for a typical floor
beam using live load reduction (if permitted).
(e) Calculate the uniformly distributed load, wL (plf], acting on a typical floor beam due to floor live load.
(1) Calculate the tributary width of exterior girder 2A-3A, the tributary area, AT, the influence area Al, and the
design floor live load, pL (psf] using live load reduction (if permitted).
(g) Calculate and draw (show a simply supported beam and the live loads acting on it) the live load acting on an
exterior girder (e.g. 2A – 3A) using the design floor live load determined in f) above.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F59f58f32-7539-4361-aa58-6ce55f60f85f%2Faecd929b-fb3b-41f6-badd-a08a1b4a525b%2F4int92h_processed.png&w=3840&q=75)
Transcribed Image Text: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, AI, 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, pz [psf], for column IB in the Ist
floor using floor live load reduction from code (if allowed).
() Using your answers from (c) through (e), calculate the axial force, P. [kip], acting at the top of column 1B in
the Ist 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.
2. (a) Calculate the tributary width for a "typical" floor beam (see figure for "typical floorbeam').
(b) Caleulate AT for a typical floor beam.
(c) Calculate the influence area, AI, for a typical floor beam.
(d) For the code specified live load of po = 40 psf, calculate the design floor live load, pL [psf], for a typical floor
beam using live load reduction (if permitted).
(e) Calculate the uniformly distributed load, wL (plf], acting on a typical floor beam due to floor live load.
(1) Calculate the tributary width of exterior girder 2A-3A, the tributary area, AT, the influence area Al, and the
design floor live load, pL (psf] using live load reduction (if permitted).
(g) Calculate and draw (show a simply supported beam and the live loads acting on it) the live load acting on an
exterior girder (e.g. 2A – 3A) using the design floor live load determined in f) above.
Transcribed Image Text:A
B
1
Турсаг Fioor bеam
Interior Girder
中
2
Exterior Girder
34 ft.
34 ft.
34 t
34 ft.
PLAN VIEW
Rooftop - not used for ive load occupancy
2
1
34t.
34
34 R.
34
ELEVATION VIEW
6.0 inch
6.0 inch
16.0 inch
24.0 inch
10.0 inch
12.0 inch
Floor Beam Section
Girder Section
5@7t each
5@7A each
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