Using 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.
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- 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 psiThe 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 mmDetermine 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
- 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 concrete beam reinforced for tension has a section shown. The rebars are laid out in a single layer only. The compressive strength of concrete is 24 MPa and yield strength of steel bars is 345 MPa. b= 300 mm h=740mm sc=60mm As = 5 pieces of 36 mm diameter rebars 1. Calculate the depth of compression block in mm 2. Calculate the depth of neutral axis c in mm 3. Type failure (Tension, Compression, Transition) 4. Calculate the actual tensile stress in the tension reinforcements in MPa 5. Calculate the Ultimate Moment Capacity of the beam in kN-m b As SCThe 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 325.48
- Question 8 1 p The rectangular doubly reinforcement stress concrete block with the arrangement of reinforcement of 2N28 bars on top and 3N28 bars on bottom. The modulus of elasticity are Ec=23,500MPa and Es = 200,000MPa. Dead load is 18KN/m and live load is 12KN/m. f'c = 25MPa 800 TE 730 N12 ligs (fsv.t-500MPa) Ast = 3N28 350 Span = 10m Figure 3 Calculate the concrete stresses in tension and compression of the reinforcement concrete beam shown in Figure 3. Compression concrete stress Choose ] Tension Concrete stress Choose]Assuming 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 cmA rectangular steel block is 75 mm in the x-direction, 50 mm in the y-direction and 100 mm in the z direction. The block is subjected to triaxial loading consisting of three uniformly forces as follows: 24 KN tension in the x-direction, 250 KN compression in the y-direction, and 240 KN tension in the z-direction. If u = 0.3 and E = 200 GPa, Determine the total resulting strain in the z- direction. Note: CN is the last 2 non zero digits of your cellphone number
- GIVEN: Solid alumınum bar shown: 4 in. by4 in. E = 10 x 10° psi oy = 36 ksi 4000 2000 1b 4000 16 B 12' REQ’D: A) Load in each section of the bar (state whether C or T) PAB = Pac PCD = B) Maximum axial stress in the bar. In which section does this occur? C) Final length of the barDetermine the required tension steel area of the T beam with given properties below. Width of flange bf = 500 mm Width of web bw = 340 mm Thickness of flange tf = 140 mm Effective depth d = 350mm Effective concretee covering d' = 75mm Compressive strength of concrete fc' = 34.5 MPa Yield stress of steel bar fy = 375 MPa Mu = 415 kN-m As = _________ mm2The 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 ?