1. A rectangular beam of width b = 15 in., effective depth d= 21.5 in., and total depth h = 24 in. spans 18.5 ft between simple supports. It will carry a dead load of 1.08 kips/ft including self- weight, plus a service live load of 4.00 kips/ft. Reinforcement consists of four evenly spaced No. 7 (No. 22) bars in one row. The clear cover on the sides is 2 in. Material strengths are f₁ = 80,000 psi and f=4000 psi. Confirm the suitability of the proposed design based on Eq. (7.3). fs can be estimated from fy without a strict calculation. 2. For the beam addressed in Problem 1, calculate the effective moment of inertia. The service load coming from the combination of the dead load of 1.80 kips/ft and the live load 4.00 kips/ft shall be considered. The corresponding bending moment shall be calculated as WL2 WL² 8

The reaction at the support A and B is?

How would you use the Central Limit Theorem in Civil Engineering? How would you use t-tests in Civil Engineering?