Long-term and Short-term Deflections of Simple Beam Problem 1) Problem 6-12 (page 181, McCormac and Brown, 9th Ed.) Calculate the instantaneous deflections and the long term-deflections after 4 years, assuming that

30% of the live loads are applied for 48 months (i.e., sustained live load). fy = 60ksi and f = 4ksi. Use E = 57000*sqrt(f) and use (n-1)*A, when you consider the effect of compression steel in transformed section analysis (a) Calculate the modulus ratio, n. [Note: do not use the assumed modulus of n=8]. (b) Calculate the service moments for: (1) dead load (MD) (2) live load (M₁) (3) sustained live load (Mst.) (c) Determine the cracking moment (Mer). (d) Determine the cracked moment of inertia (ler). (e) Calculate the effective moment of inertias (1) for: (1) dead load only (2) dead + live loads (3) dead + sustained live loads (f) Calculate the short-term or instantaneous deflections for: (1) dead load only (2) dead + live loads (3) dead + sustained live loads (4) live load only (5) sustained live only (g) Calculate the long-term deflection (for 4 years) Note: include the contribution of compression steel ratio (p'). (h) Can the beam support nonstructural elements that are likely to be damaged by large deflections? Crack Control for Beam Problem 2) Problem 6-18 (page 181, McCormac and Brown, 9th Ed.) Note: Use f, -0.6fy to estimate the service stress of steel bars. Crack Control for One-way Slab Problem 3) Problem 6-22 (page 182, McCormac and Brown, 9th Ed.)