5.4 A 16-ft- (4.8-m-) span simply supported beam, Fig. 5.25, has a clear span of 15 ft (4.5 m) and is supported by 12x 12-in. (300 x 300-mm) columns. The beam carries a factored uniform load of 11.1 K/ft (166 kN/m). The dimensions of the beam section and the flexural steel reinforcement are shown in Fig. 5.25. Design the necessary shear reinforcements using f = 3 ksi (21 MPa) and fy₁ = 60 ksi (420 MPa). Show the distribution of stirrups along the beam. 5.5 An 18-ft-(5.4-m-) span simply supported beam carries a uniform dead load of 4 K/ft (60 kN/m) and a live load of 1.5 K/ft (22 kN/m). The beam has a width b= 12 in. (300 mm) and a depth d= 24 in. (600 mm) and is reinforced with six no. 9 bars (6 x 28 mm) in two rows. Check the beam for shear and design the necessary shear reinforcement. Given: f =3 ksi (21 MPa) and fy₁ = 50 ksi (280 MPa). 5.6 Design the necessary shear reinforcement for a 14-ft (4.2-m) simply supported beam that carries a fac- tored uniform load of 10 K/ft (150 kN/m) (including self-weight) and a factored concentrated load at midspan of P=24 K (108 kN). The beam has a width b = 14 in. (350 mm) and a depth d= 16.5 (400 mm) and is reinforced with four no. 8 bars (4 x 25 mm). Given: f = 4ksi (28 MPa) and fy 5.7 A cantilever beam with 7.4-ft (2.20-m) span carries a uniform dead load of 2.5 K/ft (36 kN/m) (including =60 ksi (420 MPa). self-weight) and a concentrated live load of 18 K (80 kN) at a distance of 3 ft (0.9 m) from the face of the support. Design the beam for moment and shear. Given: f =3 ksi (21 MPa), f=60 ksi (420 MPa), and b=12 in. (200 mm) and use p=3/4pmax