Handbook of Civil Engineering Calculations

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TABLE 1 Calculation of Wind Drift
Member 7, in^4 (cm^4 ) L, ft (in) M 69 ft-kips (kN-m) me, ft-kips (kN-m) MjTi 6 LII

A-U-U 1,500 (62,430) 12 (3.66) 46.2 (62.6) 1.05 (1.42) 0.39
5-11-12 1,460 (60,765) 12 (3.66) 72.6 (98.5) 1.65 (2.24) 0.98
C-11-12 1,800 (74,916) 12 (3.66) 85.8 (116.3) 1.95 (2.64) 1.12
D-11-12 2,000 (83,240) 12 (3.66) 59.4 (80.6) 1.35 (1.83) 0.48
A-U-B 660 (27,469) 24.5 (7.47) 88.2 (119.6) 1.05 (1.42) 3.44
B-12-C 300 (12,486) 14 (4.27) 50.4 (68.3) 0.60 (0.81) 1.41
C-U-D 1,400 (58,268) 31.5 (9.60) 113.4 (153.8) 1.35 (1.83) 3.44
,4-12-5 750 (31,213) 24.5 (7.47) 96.6 (130.9) 1.05 (1.42) 3.31
B-U-C 400 (16,648) 14 (4.27) 55.2 (74.9) 0.60 (0.81) 1.16
C-U-D 1,500 (62,430) 31.5 (9.60) 124.2 (168.4) 1.35 (1.83) 3.52


Total 19.25


Calculation Procedure:


  1. Using the portal method of wind-stress analysis, compute
    the shear in each column caused by the unit loads
    Apply the unit-load method presented in Sec. 1. For this purpose, consider that unit hori-
    zontal loads are applied to the structure in the manner shown in Fig. 2OZ?.
    The results obtained in steps 1, 2, and 3 below are recorded in Fig. 2OZ?. To apply the
    portal method of wind-stress analysis, see the fourteenth calculation procedure in this sec-
    tion.

  2. Compute the end moments of each column caused
    by the unit loads

  3. Equate the algebraic sum of end moments at each joint
    to zero; from this find the end moments of the beams caused
    by the unit loads

  4. Find the end moments of each column
    Multiply the results obtained in step 2 by the wind shear in each panel to find the end mo-
    ments of each column in Fig. 20«. For instance, the end moments of column C-11-12 are
    -1.95(44) = -85.8 ft-kips (-116.3 kN-m). Record the result in Fig. 2Oa.

  5. Find the end moments of the beams caused by the true loads
    Equate the algebraic sum of end moments at each joint to zero to find the end moments of
    the beams caused by the true loads.

  6. State the equation for wind drift
    In Fig. 21, Me and me denote the end moments caused by the true load and unit load, re-
    spectively. Then the


SM 6 W^Z
Wind drift A = ——— (5)
jJCtl.


  1. Compute the wind drift by completing Table 1
    In recording end moments, algebraic signs may be disregarded because the product
    Meme is always positive. Taking the total of the last column in Table 1, we find

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