Determine the cracking moment
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- The 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 300Determine 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 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 psiAssuming 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 cm1) A rectangular reinforced concrete beam with dimensions b = 14 in, d = 25 in, and h = 28 in is reinforced with three No. 10 bars. Material strengths are fy = 60000 psi and fc' = 5000 psi. a. Find the cracking moment based on the uncracked transformed section b. Determine the maximum moment that can be carried without stressing the concrete beyond 0.45fc' or the steel beyond 0.6fy. Hint: Assume maximum compressive stress in the concrete to be 0.45fc' and check whether the maximum steel stress reaches 0.6fy. This way you can check which one is reached first C. Find the nominal moment capacity of the beam
- In all Questions use the Working Stress Method and the flowing material 25 MPa and f, = 420 MPa. properties f = If the stress in the top fiber of the concrete is f = 12.5MPa and in the steel is 400 MPa. Ec 25000 MPa, Es 200000 MPa. Determine the following: 1-Maximum strain in concrete 2- Maximum strain in steel and 3- Flexural strength of the section (the moment M) P 500 mm 300 mmThe 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* The Dn value for a low relaxation steel is ______. * Determine the elastic shortening loss of a pretensioned concrete, in percentage (simply supported L=15m, H=900mm, B=300mm) given that, fpi=1100MPa, f'ci=40MPa, Eps=200GPa, and the total area of the straight profile tendons is 140 sq.mm.
- 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 (0) is equal to 0.9 if the: Es 2 Ety + 0.003 Es S Ety + 0.003 Es Ety 5- The design method which use the factored loads is - Working stress method - Ultimate design Method - None of above 6- If p< Po therefore the section is - Under reinforced - Over reinforced - None of abovec) 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 bSIT. 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 uniformly