ALL THE INFORMATION IS GIVEN:Use the figure below to solve this problem. Assume a 4 in thick reinforced concrete (normal weight) slab and the weight of the ceiling as 1.5 lb/ft~2 To account for the weight of ducts, piping, conduit, and so forth, located between the slab and ceiling (and supported by hangers from the slab), an additional dead load allowance of 20 1b/ft~2 is assumed. The designer initially estimates the self-weight of beams BI at 30 1b/ft and the girders G2 at 50 lb/ft. Establish the magnitude of the dead load distribution on beam B1 and girder G2 and draw the free-body diagrams for members B1 and G2. Dead loadsSubstanceTypical Design Dead LoadsSteelAluminumReinforced concrete:Normal weightLight weightBrickWoodSouthern pineDouglas firLive loadsTypical Design Floor Live Loads, LoOccupancy UseAssembly areas and theatersFixed seats (fastened to floor)LobbiesStage floorsLibrariesReading roomsStack roomsbuildingsOfficeLobbiesOfficesResidential(a) Material WeightsHabitable attics and sleeping areasUninhabitable attics with storageAll other areasSchoolsClassroomsCorridors above the first floorWeight, lb/ft3 (kN/m³)490 (77.0)165 (25.9)150 (23.6)90-120 (14.1-18.9)120 (18.9)Live Load, lb/ft² (kN/m²)60 (2.87)100 (4.79150 (7.18)60.(2.87)150 (7.18)100 (4.79)50 (2.40)30 (1.44)20 (0.96)40 (1.92)37 (5.8)34 (5.3)40 (1.92)80 (3.83)The ASCE standard permits a reduction of the design lives loads Lo When the influence area KLLATTis larger than 400 ft2.The reduced live load must not be less than 50% of Lo for members supportingone floor or a section of a single floor, nor less than 40% of Lo for members supporting two ormore floors. 24'B312BIG2123@12' 36'(a)G2B112-IB3164" SlabDuct(B)suspended ceilingSection 1-1(b)B2000Beam BSection 2-2

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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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ALL THE INFORMATION IS GIVEN: Use the figure below to solve this problem. Assume a 4 in thick reinforced concrete (normal weight) slab and the weight of the ceiling as 1.5 lb/ft~2 To account for the weight of ducts, piping, conduit, and so forth, located between the slab and ceiling (and supported by hangers from the slab), an additional dead load allowance of 20 1b/ft~2 is assumed. The designer initially estimates the self-weight of beams BI at 30 1b/ft and the girders G2 at 50 lb/ft. Establish the magnitude of the dead load distribution on beam B1 and girder G2 and draw the free-body diagrams for members B1 and G2.

Dead loads
Substance
Typical Design Dead Loads
Steel
Aluminum
Reinforced concrete:
Normal weight
Light weight
Brick
Wood
Southern pine
Douglas fir
Live loads
Typical Design Floor Live Loads, Lo
Occupancy Use
Assembly areas and theaters
Fixed seats (fastened to floor)
Lobbies
Stage floors
Libraries
Reading rooms
Stack rooms
buildings
Office
Lobbies
Offices
Residential
(a) Material Weights
Habitable attics and sleeping areas
Uninhabitable attics with storage
All other areas
Schools
Classrooms
Corridors above the first floor
Weight, lb/ft3 (kN/m³)
490 (77.0)
165 (25.9)
150 (23.6)
90-120 (14.1-18.9)
120 (18.9)
Live Load, lb/ft² (kN/m²)
60 (2.87)
100 (4.79
150 (7.18)
60.(2.87)
150 (7.18)
100 (4.79)
50 (2.40)
30 (1.44)
20 (0.96)
40 (1.92)
37 (5.8)
34 (5.3)
40 (1.92)
80 (3.83)
The ASCE standard permits a reduction of the design lives loads Lo When the influence area KLLATT
is larger than 400 ft2.The reduced live load must not be less than 50% of Lo for members supporting
one floor or a section of a single floor, nor less than 40% of Lo for members supporting two or
more floors.

24'
B3
12
BI
G2
12
3@12' 36'
(a)
G2
B1
12
-I
B3
16
4" Slab
Duct
(B)
suspended ceiling
Section 1-1
(b)
B2
000
Beam B
Section 2-2

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