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 t I d
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- A symmetrical cross-section of a reinforced concrete shown has a value of f'c = 27.63 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 = 475 mm d = 685 mm t = 138 mm web thickness = 138 mm b I NOTE: USE STORED VALUES IN YOUR CALCULATION d tA RECTANGULAR ALUMINUM BLOCK IS 40mm LONG IN THE Y DIRECTION, 20mm WIDE IN THE Z DIRECTION AND 25mm THICK IN THE X DIRECTION. IT IS SUBJECTED TO A TRIAXIAL LOADING CONSISTING OF A UNIFORMLY DISTRIBUTED FORCE OF Px=3 (COMPRESSION), Py=6 (TENSION) AND Pz=9 (COMPRESSION) IN THE X, Y AND Z DIRECTIONS RESPECTIVELY. IF THE POISSON’S RATIO = 1/4 & E = 70 GPa, DETERMINE THE STRAINS IN THE X, Y AND Z DIRECTIONS. ALSO DETRMINE A SINGLE DISTRIBUTED FORCE IN THE Y DIRECTION THE WOULD PRODUCE THE SAME X DEFORMATION AS THE ORIGINAL.A 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 psi
- USE NSCP 2015 as reference: D. Minimum/maximum value of concrete strain(ec), (from nscp2015) E.Values of concrete and steel Modulus of Elasticity (E). F. Two values of minimum steel area (Asmin).Figure C a 1 of 1 Part A Locate the centroid y of the composite area. Set a = 8 mm, b = 28 mm, d = 21 mm h = 44 mm. (Figure 1) Express your answer with the appropriate units. IU II Submit Part B IT' μÅ = Value Request Answer Determine the moment of inertia of this area about the centroidal x' axis. Express your answer with the appropriate units. μÅ Units Value ? Units ? "Given fc' = 35 MPa, solve for the modulus of elasticity of concrete 27,800.00 MPa 27,805.57 MP O 200,000.00 MPa None of the above O O O O
- 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.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)The flexural tensile strength of M25 grade of concrete, in N/mm², as per IS:456-2000 is A 0.5 B 5 C 2.25 D 3.5
- Question 2A composite bar is made up of a steel strip 2 mm thick and 12 mm wide, sandwichedbetween two aluminium strips each 3 mm thick and 12 mm wide. The three strips areheld together by two rivets of 5 mm diameter each.2.1 Make a neat detailed sketch of the assembly.2.2 If the three strips are fastened together at 15 0C, determine the shear stress set up inthe rivets when the temperature is raised to 21 0C.Note: The resistance of a rivet in double shear may be taken as 1.75 times the resistancein single shear.(For steel: E = 200 GPa and α = 11×10 -6/ 0C)(For aluminium: E = 70 GPa and α = 22×10-6/0C)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 mmc) Find the stresses in the concrete and the reinforcement for the following applied moments: (i) – M1= 35kN.m and (ii) – 120kN.m Cross-section: width height Modulus of elasticity: concrete reinforcement Reinforcement: depth area b:= 300-mm h := 520-mm Ec:= 30-GPa Es:= 200-GPa d:= 460-mm As 1470-mm 2 h d b