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The floor of an apartment building, shown in the figure, is subjected to a uniformly distributed load of 45 psf over its surface area. The aspect ratio (beam length to spacing ratio) of the slabs in the framing plan is 40 ft/25 ft = 1.6. The load path is: concrete slabs - floor beams - girders - columns - foundations. 1. Determine the loads acting on the floor beams AF, BG, and CH of the framing system. Sketch the tributary area of the beams selected on the building framing plan. Draw the free body diagram of the beams selected. 2. Determine the loads acting on the girders AC and FH of the framing system. Sketch the tributary area of the girders selected on the building framing plan. Draw the free body diagram of the girders selected. 3. Calculate the axial loads acting on the columns A, F, and H. Sketch the tributary area of the columns selected on the building framing plan. Draw the free body diagram of the columns selected. Check that the load on the columns equal the reactions from the girders loading the columns. Floor beam A B G L -H₂ M 4 at 25 ft 100 ft D N Girder E -To Column 2 at 40 ft = 80 ft 1 of 3

The floor of an apartment building, shown in the figure, is subjected to a uniformly distributed load of 45 psf over its surface area. The aspect ratio (beam length to spacing ratio) of the slabs in the framing plan is 40 ft/25 ft = 1.6. The load path is: concrete slabs - floor beams - girders - columns - foundations. 1. Determine the loads acting on the floor beams AF, BG, and CH of the framing system. Sketch the tributary area of the beams selected on the building framing plan. Draw the free body diagram of the beams selected. 2. Determine the loads acting on the girders AC and FH of the framing system. Sketch the tributary area of the girders selected on the building framing plan. Draw the free body diagram of the girders selected. 3. Calculate the axial loads acting on the columns A, F, and H. Sketch the tributary area of the columns selected on the building framing plan. Draw the free body diagram of the columns selected. Check that the load on the columns equal the reactions from the girders loading the columns. Floor beam A B G L -H₂ M 4 at 25 ft 100 ft D N Girder E -To Column 2 at 40 ft = 80 ft 1 of 3

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Important concept: The slabs used in buildings and bridges are usually designed as one-way slabs. One- way slabs are assumed to be supported on two opposite sides, and bend only in one direction. In general, we will assume that slabs are designed as a one-way slab to determine the tributary area and the load supported by the beams on two opposite sides. Problem 3.1 The floor of an apartment building, shown in the figure, is subjected to a uniformly distributed load of 45 psf over its surface area. The aspect ratio (beam length to spacing ratio) of the slabs in the framing plan is 40 ft/25 ft = 1.6. The load path is: concrete slabs - floor beams - girders - columns - foundations. 1. Determine the loads acting on the floor beams AF, BG, and CH of the framing system. Sketch the tributary area of the beams selected on the building framing plan. Draw the free body diagram of the beams selected. 2. Determine the loads acting on the girders AC and FH of the framing system. Sketch the tributary area of the girders selected on the building framing plan. Draw the free body diagram of the girders selected. 3. Calculate the axial loads acting on the columns A, F, and H. Sketch the tributary area of the columns selected on the building framing plan. Draw the free body diagram of the columns selected. Check that the load on the columns equal the reactions from the girders loading the columns. Floor beam A B G L H M 4 at 25 ft 100 ft D N Girder E -Io- Column 2 at 40 ft = 80 ft 1 of 3
Transcribed Image Text:Important concept: The slabs used in buildings and bridges are usually designed as one-way slabs. One- way slabs are assumed to be supported on two opposite sides, and bend only in one direction. In general, we will assume that slabs are designed as a one-way slab to determine the tributary area and the load supported by the beams on two opposite sides. Problem 3.1 The floor of an apartment building, shown in the figure, is subjected to a uniformly distributed load of 45 psf over its surface area. The aspect ratio (beam length to spacing ratio) of the slabs in the framing plan is 40 ft/25 ft = 1.6. The load path is: concrete slabs - floor beams - girders - columns - foundations. 1. Determine the loads acting on the floor beams AF, BG, and CH of the framing system. Sketch the tributary area of the beams selected on the building framing plan. Draw the free body diagram of the beams selected. 2. Determine the loads acting on the girders AC and FH of the framing system. Sketch the tributary area of the girders selected on the building framing plan. Draw the free body diagram of the girders selected. 3. Calculate the axial loads acting on the columns A, F, and H. Sketch the tributary area of the columns selected on the building framing plan. Draw the free body diagram of the columns selected. Check that the load on the columns equal the reactions from the girders loading the columns. Floor beam A B G L H M 4 at 25 ft 100 ft D N Girder E -Io- Column 2 at 40 ft = 80 ft 1 of 3
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