For the 4-point bending test of the beam and x-section shown below, at failure the strain...

  

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For the 4-point bending test of the beam and x-section shown below, at failure the strain recorded in the tension steel was, Er = 0.0029805 and the crushing concrete strain (1) was t=0.003. Knowing that f'e=22 MPa, fy-550 MPa, Es-2.1x10° MPa, E=23360 MPa, and f-3.25 MPa. Assume one layer of steel. Answer the following: 1. Has the tension steel yielded? 2. Calculate the steel area provided in the section to develop the above strains. 3. Calculate the load at failure. 4. Calculate the design load P. Assume P is considered as a dead load. 5. Is the failure considered tension controlled? If not find the maximum area of steel so that the failure is tension controlled. 6. The technician conducting the test claimed that the strain in the extreme tension fiber of concrete was recorded as 0.0002 before the first crack occurred do you agree with him? Explain your answer. Pa kN Pa kN 350 mm 700 mm d634 mm 0.015xZ+1.1 m 4.0 m 0.015xZ+1.1 m Problem(2):- For the entire beam below determine b, h, and A. (use e18). Assume the following: fy=420 MPa, fc'=25 MPa, d=2 b, p=0.70 pma(for Maximum moment only), caver-40 mm, e10 stirrups and E-210 GPa. Ignore beam weight. w, =10+0.1xZ kN/m Wa-33-0.1xZ kN/m 20m 6.0m 2.0m For the 4-point bending test of the beam and x-section shown below, at failure the strain recorded in the tension steel was, Er = 0.0029805 and the crushing concrete strain (1) was t=0.003. Knowing that f'e=22 MPa, fy-550 MPa, Es-2.1x10° MPa, E=23360 MPa, and f-3.25 MPa. Assume one layer of steel. Answer the following: 1. Has the tension steel yielded? 2. Calculate the steel area provided in the section to develop the above strains. 3. Calculate the load at failure. 4. Calculate the design load P. Assume P is considered as a dead load. 5. Is the failure considered tension controlled? If not find the maximum area of steel so that the failure is tension controlled. 6. The technician conducting the test claimed that the strain in the extreme tension fiber of concrete was recorded as 0.0002 before the first crack occurred do you agree with him? Explain your answer. Pa kN Pa kN 350 mm 700 mm d634 mm 0.015xZ+1.1 m 4.0 m 0.015xZ+1.1 m Problem(2):- For the entire beam below determine b, h, and A. (use e18). Assume the following: fy=420 MPa, fc'=25 MPa, d=2 b, p=0.70 pma(for Maximum moment only), caver-40 mm, e10 stirrups and E-210 GPa. Ignore beam weight. w, =10+0.1xZ kN/m Wa-33-0.1xZ kN/m 20m 6.0m 2.0m

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Assumption ACI 318M19 Z 92EXAMPLE PURPOSE Given f c 22 MPa f y 550 MPa E S 21 105 MPa E c 23360 MPa ... View the full answer