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Building Design and Construction Handbook - Merritt - Ventech!

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11.30 SECTION ELEVEN<br />

Slenderness Coefficient. C s may be selected from Table 11.8, or calculated from<br />

Eq. (11.6). Linear interpolation is permitted within the table.<br />

TABLE 11.8 Slenderness Coefficients C s<br />

h/t<br />

2<br />

� � ��<br />

h/t e1 Cs � 1.20 � 5.75 � 1.5 � � 1.0 (11.6)<br />

300 e2 11.10.3 Eccentrically Loaded Shear Walls<br />

‘‘<strong>Building</strong> Code Requirements for Engineered Brick Masonry’’ also provides a basis<br />

for design of eccentrically loaded shear walls. The st<strong>and</strong>ard requires that, in a<br />

nonreinforced shear wall, the virtual eccentricity e L about the principal axis normal<br />

to the length L of the wall not exceed an amount that will produce tension. In a<br />

nonreinforced shear wall subject to bending about both principal axes, e tL � e Lt<br />

should not exceed tL/3, where e t � virtual eccentricity about the principal axis<br />

normal to the thickness t of the shear wall. Where the virtual eccentricity exceeds<br />

the preceding limits, shear walls should be designed as reinforced or partly reinforced<br />

walls.<br />

Consequently, for a planar wall the virtual eccentricity e L, which is found by<br />

dividing the overturning moment about an axis normal to the plane of the wall by<br />

the axial load, should not exceed L/6. In theory, any virtual eccentricity exceeding<br />

L/6 for planar shear wall will result in development of tensile stresses. If, however,<br />

intersecting walls form resisting flanges, the classic approach may be used where<br />

the bending stress Mc/I is combined with the axial stress P/A. If the bending stress<br />

exceeds the axial stress, then tensile stresses are present. (Note that some building<br />

codes require a safety factor against overturning. It is usually 1.5 for nonreinforced<br />

walls. But the codes state that, if the walls are vertically reinforced to resist tension,<br />

the safety factor does not apply.)<br />

e 1/e 2<br />

�1 � 3 ⁄4 � 1 ⁄2 � 1 ⁄4 0 1 ⁄4<br />

1 ⁄2<br />

3 ⁄4 1<br />

5.0 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00<br />

7.5 1.00 1.00 1.00 1.00 1.00 0.98 0.96 0.93 0.90<br />

10.0 1.00 0.99 0.98 0.96 0.93 0.91 0.88 0.84 0.80<br />

12.5 0.95 0.94 0.92 0.90 0.87 0.83 0.79 0.75 0.70<br />

15.0 0.90 0.88 0.86 0.83 0.80 0.76 0.71 0.66 0.60<br />

17.5 0.85 0.83 0.81 0.77 0.73 0.69 0.63 0.57 0.50<br />

20.0 0.80 0.78 0.75 0.71 0.67 0.61 0.55 0.48 0.40<br />

22.5 0.75 0.73 0.69 0.65 0.60 0.54 0.47 0.39<br />

25.0 0.70 0.67 0.64 0.59 0.53 0.47 0.39<br />

27.5 0.65 0.62 0.58 0.53 0.47 0.39<br />

30.0 0.60 0.57 0.52 0.47 0.40<br />

32.5 0.55 0.52 0.47 0.41<br />

35.0 0.50 0.46 0.41<br />

37.5 0.45 0.41<br />

40.0 0.40

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