# Example 11.1 FOS = 3.0 L1 = 50.0 mm w = 6.0 mm n = 2 A1 =n * L1 * w / sqrt(2) ; mm^2 Sy = 350 Mpa Ssy = 0.58 * Sy ; Mpa F1 = Ssy * A1 / FOS ; kN # Example 11.2 FOS = 3.0 L1 = 50.0 mm w = 6.0 mm n = 2 A1 = n * L1 * w / sqrt(2) ; mm^2 Sy = 350 Mpa Ssy = 0.58 * Sy ; Mpa F1 = Ssy * A1 / FOS ; kN # Example 11.3 t = 8.6 mm L1 = 100.0 mm A1 = L1 * t ; mm^2 x1 = 50.0 mm y1 = 0.0 mm L2 = 150.0 mm A2 = L2 * t ; mm^2 x2 = 0.0 mm y2 = 75.0 mm xbar = (A1 * x1 + A2 * x2) / (A1 + A2) ; mm ybar = (A1 * y1 + A2 * y2) / (A1 + A2) ; mm c1 = 45.0 mm c2 = 50.0 mm c3 = 20.0 mm J1 = L1^3 * t / 12 + L1 * t * (c1^2 + (c2 - c3)^2) ; mm^4 d1 = 20.0 mm d2 = 75.0 mm d3 = 45.0 mm J2 = L2^3 * t / 12 + L2 * t * (d1^2 + (d2 - d3)^2) ; mm^4 J1 = J1 + J2 ; mm^4 F1 = 20.0 kN e1 = 300.0 mm T1 = F1 * (e1 - xbar) ; N m r = 20 mm tau = T1 * r / J1 ; Mpa LC = 28.9 mm VC = F1 / LC / t ; MPa Sy = 345 Mpa Ssy = 0.58 * Sy ; Mpa FOS = 2.5 error = FOS - Ssy / VC h = sqrt(2) * t ; mm # Example 11.4 MKS(mm, MPa) BEGIN F1 = 10.0 kN x1 = 160.0 mm M = F1 * x1 ; kN mm t = 1.94 mm Lv = 120.0 mm Iv = Lv^3 * t / 12 ; mm^4 Lh = 70.0 mm a = 60.0 mm Ih = Lh * t * a^2 ; mm^4 IX = 2* Iv + 2* Ih ; mm^4 c = 60.0 mm s1 = M * c / IX ; Mpa A1 = 2 * Lv* t + 2 * Lh * t ; mm^2 tau = F1 / A1 ; Mpa se = (s1^2 + 3 * tau^2)^(1/2) ; Mpa Sy = 345 Mpa Ssy = 0.58 * Sy ; Mpa FOS = 3.0 error = FOS - Ssy / se h = sqrt(2) * t ; mm END solve(error, t) # Example 11.5 IPS() BEGIN Fmin = 5000.0 lbf Fmax = 15000.0 lbf Fm = 0.5 * (Fmax + Fmin) ; lbf Fa = 0.5 * (Fmax - Fmin) ; lbf L1 = 2 in h = 0.5 in A1 = L1 * h ; in^2 Su = 62.0 ksi Sy = 50.0 ksi FOS = 2.5 Kf = 1.2 CG = 0.8 CT = 1.0 CR = 1.0 CS = 0.55 Snp = 0.5 * Su ; ksi Sn = CG * CS * CT * CR * Snp ; ksi i sa = Kf * Fa / A1 ; ksi sm = Kf * Fm / A1 ; ksi sa / sm sm_max = 19.00 ksi error = FOS - sm_max / sm END solve(error, L1) # Homework Problems: TBD