The deck of a bridge consists of ribbed metal deck with 100mm concrete slab on top. The deck is supported by wide flange steel beams strengthened by cover plates 16mmx250mm one at the top and one at the bottom. The beams are simply supported over a span of 25m and are spaced at 1.20m on centers. The beam loads are shown below. Unit weight of concrete is 23.50kN/m3.  a.) Determine the maximum bending stress in the cover plated beam due to live load plus impact, MPa b.) Determine the average web shear stress in the beam due to live load plus impact, MPa.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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The deck of a bridge consists of ribbed metal deck with
100mm concrete slab on top. The deck is supported by wide flange steel
beams strengthened by cover plates 16mmx250mm one at the top and one
at the bottom. The beams are simply supported over a span of 25m and
are spaced at 1.20m on centers. The beam loads are shown below. Unit
weight of concrete is 23.50kN/m3. 

a.) Determine the maximum bending stress in the cover plated beam due
to live load plus impact, MPa

b.) Determine the average web shear stress in the beam due to live
load plus impact, MPa.

Dead load = 12KN/m (including beam and metal deck weight)
Wheel Live Loads:
Front Wheel=17.20kN
Rear Wheel=71.80kN
4.27m apart
15
Impact Factor=
L+37
< 30%, where L=length of the beam in meters
PROPERTIES OF W33x152
A = 28839 mm²
tw=16.10mm
d=850.60mm
Ix=3396448 x10³ mmª
bf=293.80mm
Iy=113631x10³ mmª
tf = 26.80mm
Transcribed Image Text:Dead load = 12KN/m (including beam and metal deck weight) Wheel Live Loads: Front Wheel=17.20kN Rear Wheel=71.80kN 4.27m apart 15 Impact Factor= L+37 < 30%, where L=length of the beam in meters PROPERTIES OF W33x152 A = 28839 mm² tw=16.10mm d=850.60mm Ix=3396448 x10³ mmª bf=293.80mm Iy=113631x10³ mmª tf = 26.80mm
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