Problem # 3: For the given beam, use 150 pcf concrete: Consider two possible load combinations: a. Calculate the factored shear (Vu) and factored moment (Mu). Draw the diagrams and report the maximum values. b. Identify the tension and compression side of the beam and the placement of the reinforcing steel for flexure at section cut A-A (at midspan). 24ft Section A-A U=1.2D +1.6L and WL = 0.75 kip/ft WD = 3.7 kip/ft + self weight From your diagrams, what are the max values? Mu= _kip-ft Vu= kip 12" U=1.4D 24"

Given the following properties of beam: b = 250 mm, d = 325 mm and h = 400 mm. a) Assuming the concrete is uncracked, compute the bending stresses (in MPa) in the extreme fibers of the beam at M = 100 kN-m. Blank 1 b) Determine the cracking moment (in kNm) for the section if f'c = 28 MPa. Blank 2 c) Compute the flexural stresses in the concrete and steel of the beam using the transformed-area method at M = 100 kN-m, n = 9 and reinforced with 5-16 mm diameter tension bars. Unit must be in MPa. fc = _Blank 3, fs =__________ Blank 4

A concrete floor slab 100 mm thick is cast monolithic with concrete beams 2.0 m on centers. The beams have a span of 4.0 m, web width of 250 mm and overall depth of 500 mm. The tensile reinforcement consists of 6 - ø20 mm bars in two rows with 25 mm vertical clear spacing. Use material strength f'c = 21 MPa and fy = 415 MPa. Calculate the following considering a T-geometry: Effective flange width of an interior beam in mm = _______ Depth of uniform stress block at ultimate stage in mm to the neares whole number = _______ Tensile steel strain compatible with concrete strain of 0.003 in 3 decimal places = __________

A rectangular R.C beam of detail shown in Fig. subjected to bending moment of (150 kN.m), n=9, f'c = 28 Mpa, fy = 413Mpa, use the working stresses method (Cracked State) to find: 1- Maximum compression stresses in concrete. 2- Maximum tensile stresses in steel reinforcement. 4025mm 250 mm 500mm 70 mm