Save a I-beam below is the transverse floor beam of a single lane bridge. It car

Question

Save a I-beam below is the transverse floor beam of a single lane bridge. It carries an 8 in. concrete deck. The width of deck section (supported by single I-beam) The beam spans 18 ft., and can be assumed to be simply supported at the ends 6 ft. 8 in Section view 4kip 4kip 6 ft. 6 ft. 18 ft. Elevation view a. What is the weight of the concrete deck (per unit length of beam), given that the unit weight of concrete (We) is 150 pcf. [Note: the total weight is of no significance for calculating moments, deflections etc.] b. If the weight of the steel beam is 50 lb/ft., what is the maximum Bending Moment (MDL) on the beam due to deck and beam Dead Loads? [Sketch the bending moment diagram]

Explanation / Answer

SOLUTION:- (a)

WEIGHT OF THE CONCRETE DECK =DENSITY X VOLUME

GIVEN DENSITY OF CONCRETE=150 pcf

VOLUME=LX B X H (HIEGHT SHOULD BE TAKEN 1 FT FOR SIMPLCITY)

SO,WEIGHT OF CONCRETE DECK =150*8*6*1=7200 lb/ft ans

(b)

MDL=WL2/8

W=WEIGHT OF STEEL BEAM+DEAD LOAD=7200+50=7250 lb/ft

L=SPAN LENGTH=18ft

MDL=7250X 182/8=293625 lb ft2

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