Sample problem: Construction Loading

Consider the task of pouring a concrete slab on a corrugated deck spanning between secondary beams. The concrete slab will be an average of $4"$ deep. Calculate the unfactored loads on and the deflection of one of the secondary beams under the following construction loads during concrete placement.

Secondary beam span: $24\text{'}-0"$

Secondary beam center to center spacing: $8\text{'}-0$"Secondary beam size: W$18$x$55($I $=890$ in$^4)$Concrete weight: $150$ Ibs$/$ft$^3$

Live Load working weight of concrete crew and equipment is considered 'Light Duty' $($sparsely populated with personnel,hand operated equipment, staging of materials for lightweightconstruction$).$ Use $25$ Ibs$/$ft$?$ for this live load

A$.$ How much will the $4"$ thick concrete slab weigh per square foot?

B$.$ Combined weight of the crew and concrete in #$/$ft$?$

C$.$ Distributed load on secondary beam from the workers and concrete in #$/$ft

D$.$ What is the deflection under the load of the concrete and the workers?

The correct answers have been provided at the bottom of the page. Please show all work for how you got those answers.