W23: A plain concrete beam has cross-sectional dimensions of 10 in. by 10 in. The concrete is known to have a modulus of rupture f, of 350 psi. The beam spans between simple supports. Determine the span length at which this beam will fail due to its own weight. Assume a unit weight of 145 pcf.
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- A symmetrical cross-section of a reinforced concrete shown has a value of f'c = 26.27 MPa and fy = 414 MPa. Calculate the nominal capacity based on the maximum steel area for a tension- controlled condition. Use the following dimensions: b = 498 mm d = 709 mm t = 152 mm web thickness - 152 mm b 1 I dA rectangular beam has the dimensions (see Figure) b = 12 in, h= 20 in, and d= 17 in. and is reinforced with three No. 9 (No. 29) bars so that As - 3.00 in?. The concrete compressive strength fe is 4000 psi, and the tensile strength in bending (modulus of rupture) is 475 psi. The yield point of the steel f, is 60,000 psi. Determine the stress in the steel caused by a bending moment M = 10 ft-kips. 9 - 6.78 in, I- 4067 in, Es = 29000000, E - 3600000 L17 in. 20 in. 3 #9 bars (A, - 3.00 in.) 3 in. -12 in.- Select one: a. 2525 psi b. 2412 psi C. 2615 psi d. 2817 psiAn HSS9 x 7 x3⁄8 filled with concrete is used as a composite column, as shown in Figure. The steel has a yield stress of Fy = 46 ksi, and the concrete has a compressive strength of f ,c =4 ksi. Compute the nominal strength of the column.
- A reinforced concrete beam has a width of 400 mmand a total depth of 550 mm. The longitudinal bars at the top are 2– 28 mm and 4 – 32 mm at the bottom. Concrete strength is f’c =24 MPa and steel yield strength fy = 300 MPa. Steel cover is 70mm and modular ratio is 9.What is the transformed moment of inertia?What is the moment capacity?What is the safest uniformly distributed load that the beam cancarry if the length of the simply supported beam is 8 m.CASE:A rectangular beam has the dimensions (see Fig.1) b = 15 in.,h = 30 in., and d = 27.37 in. and is reinforced with three No.9 bars. The concrete compressive strength fc' is 4000 psi, and the tensile strength in bending (modulus of rupture) is 475 psi. The yield point of the steel fy is 60,000 psi, the stress-strain curves of the materials being those of Fig.2. Determine the stresses caused by a bending moment M = 45 ft-kips.Question1:Check this case, would the concrete of the beam crack? Please calculate the strengths of those two materials in this beam.Question2:Suppose the beam under this case is subject to a bending moment M = 110 ft-kips (rather than45ft-kips as previously). Calculate the relevant properties and stresses.Question3:Determine the nominal moment Mn at which the beam of this case will fail. Question4:Have a comparison of the calculation results with those of three questions.I need to solve this question in concrete
- A 6m-simply supported beam cross-section is show in the figure below is prestressed with 15 wires of 5mm diameter at the bottom and 3 wires at the top. Assuming prestress in steel is 840 MPa and the density of concrete is 24kN/cu.m. Calculate the stress at bottom extreme fiber at midspan. (MPa) 250 mm- 25 mm 350 mm 65 mmA rectangular beam has the dimensions (see Figure) b = 12 in., h - 20 in, and d 17 in. and is reinforced with three No. 9 (No. 29) bars so that As - 3.00 in. The concrete compressive strength fe is 4000 psi, and the tensile strength In bending (modulus of rupture) is 475 psi. The yield point of the steel f, is 60,000 psi. Determine the concrete compression stress at the top fiber caused by a bending moment M- 10 ft-kips. 9- 6.78 in, I= 4067 in, Es= 29000000, E = 3600000 17 in. 20 in. 3 #9 bars (A, - 3.00 in.?) 3 in. -12 in- Select one: a. 390 psi b. 1390 psi c. 200 psi d. 250 psiProblem Solving: A rectangular beam has dimensions of 250 mm by 625 mm with an effective depth (distance from extreme fiber in tension to the centroid of the reinforcing bars) of 575 mm and is reinforced with three 25 mmp. The concrete cylinder strength f.' = 27.6 MPa and the tensile strength in bending (modulus of rupture) is 3.28 MPa. The yield point of the steel is 414.7 MPa. The beam carries a bending moment of 61 kN.m. E_ = 200000 MPa. E_ = 4700,f. Using the transformed area method, determine the stress in the extreme fiber in compression.
- A simply supported beam is reinforced with 4-ø28 mm at the bottom and 2-ø20 mm at the top of the beam, Concrete covering to centroid of reinforcement is 70 mm at the top and 64 mm at the bottom of the beam. The beam has a gross depth of 450 mm and gross width of 300 mm. fc'=28 MPa, fy=415 MPa. Assume bars laid out in single layer. Calculate the following if the limitin tensile steel strains is 0.004 for a ductile failure: Depth of the neutral axis from the extreme concrete compression fiber to the nearest whole number = _____________mm Design strength of the beam section to the nearest whole number =____________ kN-m Maximum service uniform live load over the entire span in addition to a DL = 20 kN/m (including the weight of the beam) if it has a span of 6 m = _____________ kN/m (to the nearest whole number)A reinforced concrete tied column is to resist the following axial load: • PDL= 800 kN • PLL = 1050 kN • PEL = 450 kN The concrete used has strength of 20.7 MPa and the yield strength of 415 MPa. Determine the number of 25-mm bars if the steel ratio is 1.5%.I need the answer to the question in reinforced concrete