A balcony consists of a concrete slab supported on two cantilever steel joists CD and EF welded to a Universal Beam AB as shown in Fig. P.3.26. The concrete slab is 3 m long, 1.5 m wide, and 150 mm thick. If the density of concrete is 22 kN/m^3 and the self-weight of the joists is 17 kg/m,

Question

A balcony consists of a concrete slab supported on two cantilever steel joists CD and EF welded to a Universal Beam AB as shown in Fig. P.3.26. The concrete slab is 3 m long, 1.5 m wide, and 150 mm thick. If the density of concrete is 22 kN/m³ and the self-weight of the joists is 17 kg/m, determine the distribution of torque along the beam AB. The weight of the balcony rail may be represented by two concentrated loads each equal to 0.2 kN applied at D and F.

Accepted Answer

The weight of the concrete slab is 22 × 3 × 0.15 × 1.5 =14.85 kN producing a uniformly distributed load on each joist of 14.85/(2 × 1.5) =4.95 kN/m. The weight of each joist is 17 × 9.81/1000 =0.17 kN/m. Then the total uniformly distributed load per joist =4.95 + 0.17 =5.12 kN/m.
The applied torques at C and E on the beam are therefore given by

[latex] T_{ C , E }=5.12 imes 1.5^{2}+0.2 imes 1.5=6.1 kNm[/latex]

and are shown in Fig. S.3.26(a).

From symmetry, the reaction torques at A and B are each 6.1 kNm so that the distribution of torque along the beam is as shown in Fig. S.3.26(b).

Question 3.26: A balcony consists of a concrete slab supported on two canti...

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