Tributary area and statics (30 marks) Figure 1 shows the plan of a proposed suspended slab in a…
Tributary area and statics (30 marks) Figure 1 shows the plan of a proposed suspended slab in a domestic structure. It is simply supported around its edges by masonry walls built on strip footings. The slab consists of 600 x 600 x 12 porcelain tiles glued to particle board timber floor sheeting of thickness 19 mm. The floor is supported by eight Structural Oregon (Douglas Fir) timber joists (“secondary beams”) that run from north to south at 500 mm centre to centre spacing. In order to provide a column-free space below the suspended slab, a steel “primary beam” is needed to support the timber joists as shown. The 310 UB 40.4 steel beam can be assumed to be simply supported on masonry piers at its ends. 4500 А. Particle board timber flooring sheets, porcelain floor tiles glued above 310 UB 40.4 pri (“the loading code”) requires an imposed load (live load) of 1.5 kPa and a single concentrated imposed load (live load) of 1.8 kN, acting at the most unfavourable location, to be considered for a domestic situation. (i) Calculate the uniformly distributed live load acting on the eight Structural Oregon timber joists in kN/m. (3 marks) (ii) Calculate the uniformly distributed dead load (imposed load) acting on the Structural Oregon joists in kN/m. (Hint: you need to consider the floor tiles and timber flooring sheets and the joists themselves). (6 marks) (iii) Calculate the concentrated live loads that the joists apply to the steel primary beam in kN. (3 marks) (iv) Calculate the concentrated dead loads that the joists apply to the steel primary beam in kN. (Hint: you can include the small square timber seat beams that run along the bottom flange of the steel joist as concentrated dead loads as well). (6 marks) (v) Calculate the design bending moment M* at the midspan of the steel beam according to the strength limit state of 1.2G plus 1.5Q. (Hint: remember to use t
May 05 2022 06:30 PM
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