Problem Statement: A 4m high concrete retaining wall (density = 24 kN/$m^3$) has a rectangular cross-section of 1m width. It retains soil with an active earth pressure coefficient ($K_a$) of 0.33 and a unit weight ($\gamma$) of 18 kN/$m^3$. Calculate the Factor of Safety (FOS) against overturning about the toe. Is the wall safe?

Problem Statement: You are detailing reinforcement for a column. The main vertical bars are 20mm diameter ($\phi$). The structural code specifies a minimum lap splice length of $40\phi$ for this concrete grade. Calculate the required lap length.

Problem Statement: A continuous footing is 50m long, 1m wide, and 0.4m deep. You need to order ready-mix concrete. The supplier requires you to round up to the nearest 0.5 $m^3$. Allow for 5% wastage due to uneven excavation and spillage. How much should you order?

Problem Statement: A contractor is pouring a 3-meter-high concrete column form at a rate of $2 m/hr$. The concrete is at $21^\circ C$ and contains a set-retarding admixture. Calculate the lateral pressure exerted on the forms at the base of the column according to ACI 347 formula for columns: $p = C_w C_c [7.2 + \frac{785R}{T+17.8}]$. Assume $C_w=1.0$ and $C_c=1.2$.