Laserfiche WebLink
Pitzer & Assoziates 07-178 2SL IBC ver6-4.xmcd 4/16/2007 <br />10_0 Overturninq Force Sample Calculation <br />: NT IBC Section 16p.r.: /: -/ 1 <br />The following example illustrates the calculations used to determine the overturning forces imposed on a <br />shear wall under design forces. <br />The shortest individual The design force applied at the top Elate of the shear wall is of interest. This is <br />panel length on a grid line. calculated as the unit force (plf) in the wall multiplied by its length, representing <br />vs;=5ft <br />the design force applied. <br />vWallLine.1 250. ft V:= vWallLine.1'ws v= 1250 lb <br />Resistance to the applied design force comes from the dead load tributary to the wall. The following variables define the <br />tributary w;dth of the Roof and Floor loads that act at this level. Dead loads from the level above are neglected as they <br />were already considered in the calculations for the wall above. The tension from the wall above is added directly to the <br />tension of the wall being calculated. <br />Tm:= 10-ft Tributary Width of Roof supported by the wall <br />Tfs:= 0.67•ft Tributary Width of Floor supported by the wall <br />Tr2s:= 10-ft Tributary Width of Roof supported by the uplift section <br />Tf2s:= 0.67-ft Tributary Width of Floor supported by the uplift section <br />The level at which the design force is applied (top plate) was defined previously for the seismic mass. In the event that the <br />plate height varies through sections of any given level, the height can be redefined to reflect the actual condition. <br />Hmots.= H1 Height of Wall Hmols = 8 ft <br />In order for a wall section to experience uplift, adjacent walls must be lifted as well. Assuming a 45 degree angle of <br />failure from the lop plate, extending away from the shear panel, the equivalent length of wall to be lifted is assumed to be <br />one half the height of the wall. We refer to this as the Uplift Section. <br />Hmats <br />Lo :-- _ Length of wall resisting uplift during overturning <br />Le=4ft <br />The dead load of the wall consists of contributions from the roof, floor, and wall. <br />W - (Hmots'w's'WDL) - (Tfs'ws'FOL) - (Trs'ws'RD) <br />W = 11841b <br />The dead load of the uplift section also consists of contributions from the roof, floor, and wall. <br />P (Lo.Tr21 RD) . (Lo Hmots WDL) - (Lo'Tf2s'FDL) <br />P = 9471b <br />TWaIILine.2 95lb <br />An overturning moment is calculated by summing all forces about the compression corner of the shear panel. The result <br />is the tension force required to resist uplift. Note the tension that is applied from the wall above. Top story wall <br />calculations do not have an overturning tension from above. <br />w <br />rJV) Hmets' TWaIILine.2 ws� - 0.67 n .W - 0.67 P ws <br />TWalll-ine.1 - w's TWaIILine.1 = 1064 lb <br />Although not shown on the following pages, these same equations follow each set of data for each wall. They were <br />placed in a minimized area of the calculations to shorten the calculation package, note the arrow and text "Overturning <br />Calculations". At each of these locations, calculations (as above) are performed. <br />2SL Version 6.4 rage 10 <br />