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) 75 300
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- 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 cmSIT. 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 uniformlyThe 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 mm
- Determine 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 mmGiven the following properties of beam: b = 250 mm, d = 325 mm and h = 400 mm. a) Assuming the concrete is uncracked, compute the bending stresses (in MPa) in the extreme fibers of the beam at M = 100 kN-m. Blank 1 b) Determine the cracking moment (in kNm) for the section if f'c = 28 MPa. Blank 2 c) Compute the flexural stresses in the concrete and steel of the beam using the transformed-area method at M = 100 kN-m, n = 9 and reinforced with 5-16 mm diameter tension bars. Unit must be in MPa. fc = _Blank 3, fs =__________ Blank 4If the compressive strength of the concrete is 4 ksi and the yield strength of steel is 60 ksi, the value of that should be used in computing the design moment strength oMn for the beam section should be 23.5 in 1.5424 0.65 0.48 0.9 3#9 14 in 26 in
- Assuming 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 mm1Situation no. 1: Calculate the bending stresses in the concrete and the reinforcing steel, using the transformed area method: fc= 3000 psi, normal- weight concrete, n= 9, M = 250 ft-k. %3D -bym 60 in. - 1. Bending stress of concrete. a 0.057psi My = 5 in. b. 57ksi 不 A,=6 hars C. 6840 ksi d= 28 in. 684psi e. 2. Bending stress of steel. a. 24 4ksi b. 2.03 ksi C. 24354.00ksi 2.71ksi b12 in. d. e.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 above
- A pretensioned member with a dimension of 250mm x 360mm is subject to an eccentric tendon that is located 105mm from the soffit. Area of the prestressing steel to be 502 sq. mm and the modulus of elasticity is 200 GPa. The Modulus of elasticity of concrete is 36.8 GPa. Creep coefficient = 1.6 and the shrinkage strain = 3 x10^6. Assume a 5% steel relaxation. Find the total prestressed loss in percentage.A rectangular pretensioned beam has concentric prestress force of 1000 KN. The beam is 300 x 500 mm in dimension and M20 grade of concrete is used with creep coefficient of 1.6 and residual shrinkage strain of 3 x10-4. Ast = 500 sq.mm. Find the following: a. Loss due to elastic shortening use Est = 200 GPa and Ec = 5700(Fc)^1/2 b. Loss due to creep c. Loss due to shrinkage d. Total loss of prestressProblem 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…