In a reinforced concrete beam, b = 300 mm, d = 600 mm, andn = 9, If a maximum stress of 5 MPa is developed in the concrete when resisting a moment of 80 kN.m, (1)
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- A singly reinforced rectangular section has a width of 250mm and an effective depth of 460mm. The concrete has a compressive strength of 21MPa. The steel has a yield strength of 275 MPa and E = 200,000 MPa. Calculate the ideal flexural strength for the following areas of steel: a. 2580 mm² b. 5160 mm² c. The value at balanced failureA pre-tensioned concrete member of section 200 mm x 250 mm contains tendons of area 500 mm2 at centre of gravity of the section. The pre-stress in the tendons is 1000 N/mm2.- Assuming modular ratio as 10, the stress (N/mm2) in concrete isc) 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 b
- 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 mmThe preliminary design is important because: O A. The designer calculates the required reinforcement amounts in this stage. O B. This stage provides the final dimensions of elements regardless of the design forces. O C. All of the reasons mentioned. D. The size of structural elements determines the stiffness needed for the structural analysis.SIT. 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
- Prob.5: A rectangular reinforced concrete beam has dimensions b = 300 mm, d = 530 mm and h = 600 mm, and is reinforced with 3 Ø32 mm bars. Materials strength are fe = 28 MPa, fy= 414 MPa. a) Find the moment that will produce the first cracking at the bottom surface of the beam basing your calculations on Ig. b) Determine the maximum stress in the steel and in the concrete under this Design of Reinforced Concrete Structures moment.Both of the tension and compression forces are exerted on the concrete specimen when investigating the flexural strength. However, the specimen fails due to the flexural forces. * True False Other:A reinforced concrete beam has a width of 300 mm, an effective depth of 500 mm and is reinforced with a steel having an area of 1200 mm^2. The beam is subjected to a bending moment of 70 kN- m. If the modular ratio = 8, using WSD, Cracked Analysis. a) Determine the stress developed in the concrete. O 7.914 MPa 8.903 MPа 5.936 MPa 6.925 MPa None of the Choices 9.893 MPa
- 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.Determine the tensile steel ratio of a singly reinforced concrete beam for the following conditions using concrete strength f’c = 28 MPa and steel yield strength fy = 420 MPa. if the tensile strain is εs = fy/Es upon crushing of concrete at a strain of 0.003. = ___ (5 decimal places)2. Tensile strength of concrete is about: (20-35)% of compressive strength (45-70)% of compressive strength None of the above. 3. The section of reinforced concrete called (---------), when concrete fail by reaching maximum strain, before the yield of steel reinforcement. 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 < Ety + 0.003 Es S Ety