where did he get 12000 from Example 8.5 Select #3 stirrups for the beam of Examp
ID: 1713084 • Letter: W
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where did he get 12000 from
Example 8.5 Select #3 stirrups for the beam of Example 8.3, assuming the live load is placed to produce maximum shear at beam end and centerline. SOLUTION Maximum V. at left end = (7 ft) (1.2 x 4 kif + 1.6 x 6 klf) = 1 10.8 k = 100,800 lb. For maximum V at centerline, the live load is placed as shown in Figure 8.13 , at centerline = 50,400 lb-(7 ft) (1.2 x 4 kif) = 16.8 k = 16,800 lb b-2(1.0) (4000 psi) (15 in.) (22.5 in.) = 42,691 lb 78,300 lb as determined by proportions from at a distance d from face of support Figure 8.14. V.=0%+ Lu dVs = Vu-OVc = 78,300 lb-(0.75) (42,691 lb) = 46,282 lb at left end 462821b = 61,709 lb s 0.75Explanation / Answer
12000 in that equation is the slope of shear force graph.
Maximum Vu at left end = 100,800 lb
Maximum Vu at the centerline = 16,800 lb
Therefore, the slope is = (100,800 - 16,800)/7 ft
= 12,000 lb/ft
Hence, shear at any point x distance from left end is:
= 100,800 - 12,000 x
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