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)2. Fann nm . methods: Compression Members Under Concentric Axial Loads 199 Hssax4x% W6x20 E? ASTM A500, grade 46 E? ASTM A36
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Figure 514 Details for problem 51. Figure 515 Details for
problem 52.
5%. Determine the design strength of the column shown in Figure 515 using the following methods:
1. Design equations (i.e., equations (56) through (58)); check slenderness.
2. Conﬁrm the results from part 1 using AISCM Table 422.
J3. A column with an unbraced length of 18 ft. must resist a factored load of PR = 200 kips. Select 69 o the lightest Wshape to support this load, consider W8, W10, W12, and W14 shapes. The steel
is ASTM A572, grade 50. A pipe column with a factored toad of 80 k has an unbraced length of 10 ft. Select the lightest
shape, using the following: 1. Standard pipe (STD),
2. Extra strong pipe (XS), and
3. Double extra strong pipe (XXS). Steel is ASTM A53, grade B. What is the mahimum nnbraced length permitted for a 4vin extra strong (XS) pipe column
to support this load? ‘ AW~shape column must support service loads of D = 200 hips and L = 300 kips. The unbraced length in the xdirection is 30 ft, 15 ft. in the ydirection. Select the lightest Wshape to sup
port this load. Determine if a W8 X 28 column is adequate to support a factored axiai load of PH : 175 kips
with unbraced lengths, x = 24 ft. and Ly = i6 ft., and pinned—end conditions. The steel is
ASTM A992, grade 50. The preliminary column and girder sizes for a twostory moment frame are shown in Figure 516.
Assuming iiiplane bending about the strong axes for the columns and girders, determine the ef fective length faCtor, K, for columns CG and GK using the alignment chart and assuming elastic
behavior. 200 CHAPTER 5 O
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3 Figure 5—16 Moment frame for problem 57. Student Design Project Problem Neglecting the Beamtowcolumn and girder«to—column connection eccentricities (and there
fore the moments caused by those eccentricities), calculate the cumulative factored axial loads
on the typical interior, exterior, and corner columns for each level of the building. Determine
the required column size for each level of the building, assuming an effective length factor, K, of 1.0. ...
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 Fall '11
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