Question

Preview File Edit View Go Tools Window Help Screen Shot 2019-12-21 at 5.01.27 PM Q Search Prob-1 The W12x40 section in Fig. below is used as a simply supported beam. Two point loads applied at the distance of (1/3)*L from supports. L-12 it. If the maximum shear of the beam is 16 kips, determine the followings? 1. The tensile stress at maximum fiber of the midsection? 2. Deflection at midpoint? 3. The minimum shear stress in the web at support? 4. The maximum shear stress in the web at support? Use E-10000 Ks LEGAL POUCH

Answer 1

Griven Data: W12 x 40 Section P P. V = 16 kips. E = 10,000ksi iki * L Distance ** 1 of point loads at 1/3 *L.) Now, I = 310114 and Z=57in3 for w2x40 Section . First we have to find following: © Max tensile stress at maximum fiter of mid section : - fan Mat centre - Z - 16x4.5-16~4.5 57 f = 0.8421 Ksi

- Ô Deflection at point (mid point) : 24EI 1:L=12 ft) la- ſ - l = 4ft) I=310 ina) : SPas (312_4@?) = 16x4 24x10x10x310*13* = 3.16554x164. T: 8 = 0.0003165 kn, 1 *(34122-424) Minimum ③ Maxtrem Shear stress in the web at Support: ( Teman & Temin values are given in = 0.0148 diagram.) hi Tmin = 0.0148 ksi @ Maximum Shear stress in web at support: - " Tmax = FA Ib 16*11.46*5.45 310x8.005 - 0.403 Tmax 0.403 ksi