Design a double-reinforced concrete beam to resist the moment due to a service dead load D = 150,000lbf*ft (including self-weight) and the moment due to a service live load L = 160,000 lbf*ft. Apply LoadCombination 2 only. The beam width is limited to 11 in, and the effective depth d is limited to 20 in. Thecompression steel cover is 3 in from the top (measured to centerline of compressive rebars). Use f ‘c =3,000 lbf/in2, fy = 60,000 lbf/in2.

rectangular beam 250 mm wide, 500 mm deep is reinforced at the bottom with 4-20-mm-diameter bars and at the top with 2-16-mm bars. Concrete cover to bar centroid at the top is 80 mm and at the bottom is 70 mm. Use concrete strength f’c = 21 MPa and steel yield strength fy = 420 MPa for 20-mm bars and fy = 275 MPa for 16-mm bars. Determine the maximum steel area for a tension controlled singly reinforced condition in positive bending

A doubly reinforced concrete beam of size 250 mm x 500 mm overall depth is reinforced with 2-12 mm dia. bars in compression zone and 3-20 mm dia. bars in tension zone, each at an effective cover of 40 mm. The grade of concrete and steel are M20 and Fe415 respectively. The strain in compression steel will be [Take stress in compression steel as 345 MPa]

A rectangular beam 250 mm wide, 500 mm deep is reinforced at the bottom with 4-20-mm-diameter bars and at the top with 2-16-mm bars. Concrete cover to bar centroid at the top is 80 mm and at the bottom is 70 mm. Use concrete strength f'c = 21 Pa and steel yield strength fy = 415 MPa for 20-mm bars and fy = 275 MPa for 16-mm bars Determine the limiting tensile steel ratio for a tension controlled condition in positive or negative bending with the given material strengths.

Design the shear reinforcement of the beam loaded as shown using WSD with fc’ = 20.7 MPa and fy = 276 MPa, fs = (fy/2)

A rectangular beam has the dimensions b=12in., h=26in., and d=24 in. and is reinforced with three No. 11 bars so that As-4.68 in.². The normal-weight concrete compressive strength is 5000 psi. and the tensile strength (modulus of rupture) can be calculated as per ACI318-14. The Grade of the steel is 60. Determine the nominal moment strength M, and the moment capacity Mn. b=12 in. Figure 1. d=24 in. h=26 in.-

3) Calculate the nominal moment strength and the design ultimate moment of the precast T-beam shown in Figure if the beam span is 30 ft. Given: f=4000 psi, normal-weight concrete fy=60,000 psi Reinforcement area at the tension side: 2 in. 40 in. 4 No. 9 bars 10 in. 2.5 in. 20 in.

A composite floor system consists of steel beams supporting a formed steel deck and concrete slab. The deck is shown in Figure P, and the total depth from bottom of deck to top of slab is 61⁄2 inches. Lightweight concrete is used (unit weight =115 pcf), and the 28-day compressive strength is 4 ksi. The deck and slab combination weighs 53 psf. The beams are spaced at 12 feet, and the span length is 40 feet. There is a 20psf construction load, a partition load of 20 psf, other dead load of 10 psf, and a live load of 160 psf. The maximum permissible live-load deflection is Ly/360. Use the composite beam tables and select a W-shape with Fy= 50 ksi. Design the stud anchors. Use partial composite action and a lowerbound moment of inertia. a. Use LRFD. b. Use ASD

III. A simply-supported rectangular concrete beam with a width of 300mm wide, 600 mm total depth, and 5.8 m long, is needed to accommodate both ceiling height clearance below and the superimposed loads. If f' = 28 Mpa and steel 415 Mpa, fy = 13) what is the allowable resisting moment of the beam without 300 mm stressing the concrete beyond 0.45f"c and steel 0.60f,? Use the transformed area method and rn 8 65 mm 2 #25mm 535 mm 600 mm 14) what is the allowable resisting moment of the beam using the strength design method. 4 #32 mm 65 mm 15) Compare the results of (a) and (b) and comment your observation.

3. A reinforced rectangular concrete beam having a width of 300 mm, effective depth of500 mm, fc’ = 24 MPa, fy = 415 MPa, 4 - 28 mmɸ, d’ = 65 mm. Present the following (a) actual steel ratio (b) maximum steel ratio (c) a(d) c (e) check if steel yields (f) ?steel(g) type of failure (h) reduction factor (i) moment capacity