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.

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.
Transcribed Image Text: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
Transcribed Image Text: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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