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Chapter 7.5, Problem 3BYG
To determine

Give examples of the role of volume in engineering analysis and design.

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The single story building shown in Fig. 2 has an applied uniform load of 300 psf (0.3ksf) including the self weight of the beams and the girders. The roof has a 16 ft x 15 ft opening as shown.  1. Determine the axial loads on Columns C1 and C2 using reactions from the beams supported on the columns. 2. Determine the axial loads on Columns C1 and C2 using the concept of tributary areas.
A built-up beam section is formed by welding 2xL8x6x1 angles to the bottom flange of        W36x210 as shown in Fig. 1.  Determine the following section properties of the built-up cross section: a. Cross sectional area, A (in2) b. The location of the centroids CG-X and CG-Y id of the built up section from the bottom of angle ( this value is given, so you need to check that you get this value) c. Moments of  inertia  ICG-X (in4) and ICG-Y (in4) d. Section modulus Sx (bot) (in3) and Sx (top) (in3) e. Radius of gyration rx (in) and ry (in) f. Weight of the built up section, w (lb/ft) (use density of steel = 490 pcf) g. Surface area of the built-up section, S(ft2/ft)
11. Design the main beam of a building supporting concrete floor slab as shown in Fig. 10.61 and with the following data: (i) Beam centres: 6 m (ii) Span (simply supported): 7.4 m (iii) Concrete slab (spanning in two directions): 240-mm thick (iv) Finished screed: 40-mm thick (v) Imposed load: 4 kN/m² (vi) Take weight of concrete slab as 24 kN/m³ and total weight of 40-mm thick screed as 1.0 kN/m² Assume Fe 410 grade steel and take initial weight of beam as 1.0 kN/m. H H- Main beam 7.4 m 6.0 m H 40 mm screed I -H. Fig. 10.61 k 240 mm slab 6.0 m Typical bay of large floor area
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