PENN STATE UNIVERSITY Department of Civil and Environmental Engineering CE 342 D
ID: 1712748 • Letter: P
Question
PENN STATE UNIVERSITY Department of Civil and Environmental Engineering CE 342 Design of Steel Structures HW #6, Due on Friday, 10/20/2017 Using engineering papers solve the following problems neatly, professionally, and to scale. Show all required information including diagrams, dimensions, and all calculations Problem No. 1 The 50'- 0" girder below is connected to the column with simple connections and supports a factored, uniform load, w a) If the girder shown is a W21x48, A992 steel, and continuously laterally supported at the compression flange, Using AISC part 16 and the design tables check the adequacy of the section if the girder supports an ultimate uniform load, wu1.27 k/ft b) Using AlSC part 16 and the design tables determine the maximum w that the girder shown can support if it is made of W24x55 A992 steel and laterally supported at the 20'-0" points c) Using AISC part 16 and the design tables determine the maximum wu that the girder shown can support if it is made of W24x55 A992 steel and laterally unsupported over the entire length. Note: Check , only and assume that the girder is safe in shear and deflection. 2 50%-0 20'-0" 10'- 0" 20'- 0" I FACTORED UNIFORM LOAD, WuExplanation / Answer
a)factored load on beam=1.27 kip/ft
Span of beam=50'
Maximum moment in Beam=1.27*50²/8=396.9 kip-ft
Moment capacity of w21x48 for continuous lateral bracing=398 kip-ft
Beam is adequate
b)the crtical section of beam where maximum moment is acting is at midpoint.Therefore,the unbraces length of beam at crtical section is=10ft
Moment capacity of beam with Unbraced length of 10 feet=399.2 kip-ft
Maximum ultimete load the beam can support=8*399.2/50²=1.277 kip/ft
c)for unsupported length of 50 feet,the moment capacity of beam=46 kip-ft
Ultimate load the beam can support=46*8/50²=0.147 kip-ft
Note : Cb has been considered as 1 in the above solutions
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