a) A steel column has unbraced length of 25 feet and end conditions as shown in Fig. 1(a). The applied axial loads are:

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a) A steel column has unbraced length of 25 feet and end conditions as shown in Fig. 1(a). The applied axial loads are:

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A A Steel Column Has Unbraced Length Of 25 Feet And End Conditions As Shown In Fig 1 A The Applied Axial Loads Are 1
A A Steel Column Has Unbraced Length Of 25 Feet And End Conditions As Shown In Fig 1 A The Applied Axial Loads Are 1 (39.36 KiB) Viewed 36 times
a) A steel column has unbraced length of 25 feet and end conditions as shown in Fig. 1(a). The applied axial loads are: dead load PD​=350 kips and live load PL​=500 kips. Using a W14 x 132 section ASTM A992 ( Fy​=50ksi,E=29,000ksi) for this column and assuming ideal end conditions are approximated. Using the data provided in Table 1 below: (i) Compute the Slenderness Ratio for the column for the given conditions. (ii) Determine the column classification based on the following AISC criteria. (A) Short/intermediate (inelastic buckling) rKL​≤4.71Fy​E​​( or Fv​Fy​​≤2.25) (B) Long Columns (Elastic Buckling) rKL​>4.71Fy​E​​( or Fe​Fy​​≥2.25) (iii) Calculate the column critical load Fer​ based on its classification (iv) Calculate the column strength ∅c​Pn​ and determine if it is safe support the applied ultimate loads. 20 marks Table 1
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