Problem 4: Buoyancy I Pontoon bridges use buoyant forces to support loads. This problem will ask you to consider a 10 ft section of the pontoon bridge sketched below. The bridge deck is 4 ft wide, and each 10 ft section has five 55 gallon drums on each side. Each drum has a diameter of 22 in, so the cross-sectional area of each drum is 2.64 ft2, and each drum is 2.79 ft tall. Assume the bridge deck and the bracing system for the drums weigh 2300 lb per 10 ft section but occupy negligible volume. The bridge floats in water with y = 62.3 lb/ft³. Part A What is the cross-sectional area of all ten drums? [ft²] Part B What is the volume of all ten drums? [ft³] Part C When the bridge is unloaded, what length of the drums will be underwater? [ft] PLAN VIEW 00000 ∞∞∞∞o SECTION VIEW Part D How much weight can each 10 ft section carry without sinking? [lb]

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Problem 4: Buoyancy I
Pontoon bridges use buoyant forces to support loads. This
problem will ask you to consider a 10 ft section of the pontoon
bridge sketched below. The bridge deck is 4 ft wide, and each
10 ft section has five 55 gallon drums on each side. Each drum
has a diameter of 22 in, so the cross-sectional area of each drum
is 2.64 ft², and each drum is 2.79 ft tall. Assume the bridge deck
and the bracing system for the drums weigh 2300 lb per 10 ft
section but occupy negligible volume. The bridge floats in water
with y = 62.3 lb/ft³.
Part A
What is the cross-sectional area of all ten drums? [ft²]
Part B
What is the volume of all ten drums? [ft³]
Part C
When the bridge is unloaded, what length of the drums
will be underwater? [ft]
PLAN VIEW
∞∞∞∞0
ooooo
SECTION VIEW
Part D
How much weight can each 10 ft section carry without sinking? [lb]
Transcribed Image Text:Problem 4: Buoyancy I Pontoon bridges use buoyant forces to support loads. This problem will ask you to consider a 10 ft section of the pontoon bridge sketched below. The bridge deck is 4 ft wide, and each 10 ft section has five 55 gallon drums on each side. Each drum has a diameter of 22 in, so the cross-sectional area of each drum is 2.64 ft², and each drum is 2.79 ft tall. Assume the bridge deck and the bracing system for the drums weigh 2300 lb per 10 ft section but occupy negligible volume. The bridge floats in water with y = 62.3 lb/ft³. Part A What is the cross-sectional area of all ten drums? [ft²] Part B What is the volume of all ten drums? [ft³] Part C When the bridge is unloaded, what length of the drums will be underwater? [ft] PLAN VIEW ∞∞∞∞0 ooooo SECTION VIEW Part D How much weight can each 10 ft section carry without sinking? [lb]
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