2. Tensile strength of concrete is about: (20-35)% of compressive strength (45-70)% of compressive strength None of the above. Tension controlled section Balanced section Compression-controlled section 4- The reduction factor (Ø) is equal to 0.9 if the: Es 2 Ety + 0.003 Es S Ety + 0.003 Es S Ety
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- 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 bThe cross section of a beam is shown in the figure is reinforced with 5-28 mm diameter bars placed at 100 mm from the bottom fiber. The beam is expected to carry a service moment of 280 kN-m. Use f'c=28 MPA and fy=280 MPa. All dimensions are in millimeters. Using WSD method, calculate the following: 1. Cracking moment of the section. 2 Compressive stress on the concrete., 3. Tensile stress on the steel. 4. Compressive force on the concrete. 300 I00 300 300 300 100 mm 100 -1700 mmAssuming 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) 75 300
- A Normal-weight concrete T beam shown in the figure below is reinforced at the tension side by 3 - #25 bars. The concrete is assumingly uncracked and has a compressive strength of fe' = 29 MPa, fy=370 MPa, and the clear concrete cover is 40 mm, the modular ratio is n=9, and the web rein. is #10 mm. Determine the cracking moment (kN m) of the section using solution 2. 1300 125 250 500A 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 psiUsing the stress block, determine the ultimate moment of resistance of the section shown in Figure 2 and check whether the steei provided satisfies the bending moment due to the loads on the beam. Characteristic compressive strength of concrete, fck= 25 N/mm² Characteristic tensile strength of steel, fyk = 500 N/mm2 Clear cover to main steel as 20 mm. Ultimate Design Load =13 kN/m 2 402 mm 370 mm 2 1470 mm 9 m 230 mm Figure 2
- 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 dThe T-beam shown in figure resulted from monolithic construction of the beam and slab. The effective flange width is 1100 mm and the uniform slab thickness is 120mm. Width of beam is 340 mm, total depth of the T-section is 590 mm. The centroid of steel is 70 mm from extreme concrete fiber. Concrete strength f’c= 21 MPa amd steel strength fy= 415 MPa. 1 Calculate the nominal strength of the beam for positive moment neglecting the contribution of the top reinforcement, KN-m A 428.55 B 503.20 C 355.96 D 637.52 2 Calculate the nominal strength of the beam for negative moment, KN-m A 289.88 B 275.53 C 311.67 D 325.48Assuming concrete is un-cracked. Determine the cracking moment of the section. E = 2*10°MPa E = 2*10*MPa f' = 20MPA 300 mm 500 mm 3#20 60 mm1
- (1) (2) steel stress-strain Curve Es= Esteel = what is f db #3 #4 #5 #6 #7 #8 #9 #10 ksi 0.005 Ab FOR Grade 60 steel. E Ey = when fs = 45 ksi lbs/ft_ when Es=0.005Determine 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 mmThe composite bar consists of a 25-mm-diameter A-36 steel segment AB and 60-mm-diameter red brass C83400 end segments DA and CB. (Figure 1) Figure -250 mm- D A 500 mm 75 kN 75 kN 100 KN 100 KN B 1 of 1 > 250 mm- C Part A Determine the average normal stress in segment DA due to the applied load. Express your answer to three significant figures and include the appropriate units. ODA = Submit Part B JAB = O Submit HÅ Value Request Answer Determine the average normal stress in segment AB due to the applied load. Express your answer to three significant figures and include the appropriate units. μA Value C Request Answer Units ? Units ?