Question 2. The concrete column (30 x30) cm, length 6 m, Ec = 4 x 105 MN/m² and ac = 5.5 x 10%/ "C is reinforced with eight steel bars, each of 12 mm diameter (Es = 29 x 106 MN/m² and as = 6.5 x 10"/ "C). Determine the normal stresses induced in the steel and in the concrete by a temperature rise of 75 °C.
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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 dSIT. B: Determine the tensile steel ratio of a given conditions if concrete strength f'. = 28 MPa and steel yield strength fy 4. if the tensile strain is Es = fy/Es upon crushing of concrete at a strain of 0.003. C. 0.02833 A. 0.01567 B. 0.02161 D. 0.02125 if the tensile strain is limited to 0.004 upon crushing of concrete at a strain of 0.003. A. 0.01567 B. 0.01548 5. 6. Minimum as required by NSCP 2015. C. 0.00313 D. 0.00405 A. 0.00333 B. 0.00276 = 420 MPa. C. 0.02778 D. 0.02064 uniformlyDetermine the prestressing steel area required for the precast concrete T-beam. Use the following data: Total moment = 250 kN-m Effective stress fse= 862 MPa Allowable concrete stress = f.=11 MPa Consider zero stress at the bottom of the beam I=3673x106 mm4 A=103125 mm² Eccentricity = 271.6 mm Centroid of steel is located at 100 mm from the bottom of the beam. Select one: a. 591.97 mm b. 789.29 mm 2. C. 443.98 mm 2. d. 986.61 mm
- Problem 1: Transformed Moment of Inertia and Elastic Deflection Given: The center of the top and bottom rebars are placed 2.5" from the top and bottom faces. Top Reinforcement: 2 no. 4 Rebar Bottom Reinforcement: 4 no. 9 Rebar Use textbook table A-1 for rebar properties Es = 29,000 ksi Ec = 3,600 ksi Unit weight of plain concrete = 145 lb/ft³ a. Find the transformed moment of inertia of the composite section. b. Calculate the reinforcement ratio p where p is Asb/bd. Asb is the area of the bottom steel, d is the depth from the top face of the beam to the bottom steel, and b is width of the beam. 16" c. A 30' simply supported beam has this cross-section. Ignoring the effects of cracking, how much would the beam deflect under its own self-weight and a live load of 0.64 kip/ft? d. Often the unit weight for reinforced concrete is assumed to be 150 lb/ft³. Repeat part c. using this assumption. e. Repeat part c. using the gross moment of inertia. Note: the gross moment of inertia is the…Assuming the concrete is uncracked, compute the flexure stresses in the extreme fibers of the beam as shown in the figure for a bending moment of 34 kN-m. The concrete has an f' of 27.60 MPa; determine also the cracking moment of the section. (Use 0.62 1 = 0.70 in calculating the modulus of rupture). Dimensions are in millimeter. 380 455 3 #9 bars (A, = 3.00 in.2) 75 300Assuming concrete is uncracked. Compute the bending stress in the extreme fiber of the beam of figure for bending moment 1x10°kg cm . Determine the cracking moment of the section. A = 10cm² %3D E, = 2*10°kg / cm² E = 2*10°kg / cm² %3D %3D f'. =1836kg / cm² %3D 90 cm 100 cm 40 cm
- What is the stress in an 8-inch round x 16-inch high concrete cylinder (E = 2.5 x 10^6 psi) when the unit deformation is 0.0012 inch/inch? A. 500 psiB. 8100 psiC. 210 psiD. 3000 psiA beam having a width of 500 mm and a total depth of 800mm is reinforced with 6-32mm dia bars. Compressive strength of concrete is 28 MPa and yield strength of reinforcing bars is 420MPA. 640 mm 800 mm 6 #32 C 80 mm 80 mm Determine the following: 1. depth of the compression block 2. strain in the tension reinforcement 3. moment reduction factor 4. nominal moment capacity 5. ultimate moment capacity 6. actual steel ratio 7. minimum steel ratio 8. maximum steel ratio 9. Tension force 10. Compression forceA 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 t
- 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 psiA copper flat measuring 60mmx30mm is brazed to another 60mmx60mm mild steel flat as shown. If the combination is heated through 120 ℃, determine the stress produced in each of the bar. Concrete: ? = 18.5x10^-6/℃, ?? = 110 GN/?2 Steel: ? = 12x10^-6/℃, ?? = 220 GN/?2 Length of each flat = 400 mm.c) 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