[...]... Recommended design values of K are given in the AISC Manual The capacity of a column is a function of its effective length and the properties of its cross section It therefore becomes necessary to formulate certain principles pertaining to the properties of an area Consider that the moment of inertia I of an area is evaluated with respect to a group of concurrent axes There is a distinct value of I associated... Terms of Use as given at the website CIVIL ENGINEERING 1.26 SECTION ONE Calculation Procedure 1 Compute the net width of the member at each section of potential rupture The AISC Specification prescribes the manner of calculating the net section of a tension member The effective diameter of the holes is considered to be 1/8 in (3.18 mm) greater than that of the rivets After computing the net width of. .. The product of inertia of an area with respect to its principal axes is zero 3 Conversely, if the product of inertia of an area with respect to two mutually perpendicular axes is zero, these are principal axes 4 An axis of symmetry is a principal axis, for the product of inertia of the area with respect to this axis and one perpendicular thereto is zero Let A1 and A2 denote two areas, both of which have... a radius of gyration r with respect to a given axis The radius of gyration of their composite area is found in this manner: Ic = I1 + I2 = A1r 2 + A2r 2 = (A1 + A2)r 2 But A1 + A2 = Ac Substituting gives Ic = Aw r 2; therefore, rc = r This result illustrates the following principle: If the radii of gyration of several areas with respect to a given axis are all equal, the radius of gyration of their... = 15.3 ft (4.66 m); at the bottom of the table FIGURE 13 it is found that rx/ry = 1.73 Downloaded from Digital Engineering Library @ McGraw-Hill (www.digitalengineeringlibrary.com) Copyright © 2004 The McGraw-Hill Companies All rights reserved Any use is subject to the Terms of Use as given at the website CIVIL ENGINEERING CIVIL ENGINEERING 1.21 2 Compute the value of KxL associated with a uniform-strength... requirements of the Specification Note: To determine the allowable rivet spacing, divide the horizontal shear flow into the rivet capacity Downloaded from Digital Engineering Library @ McGraw-Hill (www.digitalengineeringlibrary.com) Copyright © 2004 The McGraw-Hill Companies All rights reserved Any use is subject to the Terms of Use as given at the website CIVIL ENGINEERING CIVIL ENGINEERING 1.15 DESIGN OF. .. with the other one, as in Fig 18b The gross width of the angle wg is the width of the equivalent plate thus formed; it equals the sum of the legs of the angle less the thickness 2 Determine the gross width in terms of the thickness Assume tentatively that 2.5 rivet holes will be deducted to arrive at the net width Express wg in terms of the thickness t of each angle Then net area required = 141/22 =... 101.6 × 11.11 mm) Downloaded from Digital Engineering Library @ McGraw-Hill (www.digitalengineeringlibrary.com) Copyright © 2004 The McGraw-Hill Companies All rights reserved Any use is subject to the Terms of Use as given at the website CIVIL ENGINEERING CIVIL ENGINEERING 1.27 FIGURE 18 4 Record the standard gages shown in Fig 18b Refer to the Manual for the standard gages and record the values 5 Establish... completion of phase 2 Let P2 denote the incremental applied load at completion of phase 2, i.e., the actual load on the beam minus P1 In Fig 21b, construct the Downloaded from Digital Engineering Library @ McGraw-Hill (www.digitalengineeringlibrary.com) Copyright © 2004 The McGraw-Hill Companies All rights reserved Any use is subject to the Terms of Use as given at the website CIVIL ENGINEERING CIVIL ENGINEERING. .. based on the postelastic behavior of a continuous beam (Refer to a later calculation procedure for an analysis of this behavior.) FIGURE 5 Downloaded from Digital Engineering Library @ McGraw-Hill (www.digitalengineeringlibrary.com) Copyright © 2004 The McGraw-Hill Companies All rights reserved Any use is subject to the Terms of Use as given at the website CIVIL ENGINEERING 1.12 SECTION ONE Modified . 1.107 Capacity of a T Beam 1.107 Capacity of a T Beam of Given Size 1.108 Design of Reinforcement in a T Beam of Given Size 1.108 Reinforcement Area for a Doubly Reinforced Rectangular Beam 1.109 Design of. subject to the Terms of Use as given at the website. CIVIL ENGINEERING Design of a Rectangular Beam 1.121 Design of Web Reinforcement 1.122 Capacity of a T Beam 1.123 Design of a T Beam Having. Construction 1.157 Camber of a Beam at Transfer 1.158 Design of a Double-T Roof Beam 1.159 Design of a Posttensioned Girder 1.162 Properties of a Parabolic Arc 1.166 Alternative Methods of Analyzing a Beam