Q3// For the simply supported prestressed concrete beam shown in Fig. 3, determine the depth of section (h) and the required area of prestress steel (Aps) to cause zero tensile stresses in concrete at both initial and service stages. Assume total losses (20%), initial prestress stress (fi= 1000 N/mm²), and ye = 25 kN/m³. P₁=60 kN (25 marks) h/2 Fig.3 6 m 6 m h/3 Aps b=370 mm

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3-1. A concrete cylinder having a diameter of 6.00 in. and gage length of 12 in. is tested in compression. The results of the test are reported in the table as load versus contraction. Draw the stress-strain diagram using scales of 1 in. = 0.05 ksi and 1 in. = 0.2(10-)in./in. From the diagram, determine approximately the modulus of elasticity. Load (kip) 0 5.0 9.5 16.5 20.5 25.5 30.0 34.5 38.5 46.5 50.0 53.0 Contraction (in.) 0 0.0006 0.0012 0.0020 0.0026 0.0034 0.0040 0.0045 0.0050 0.0062 0.0070 0,0075

Q3// For the simply supported prestressed concrete beam shown in Fig. 3, determine the depth of section (h) and the required area of prestress steel (Ap) to cause zero tensile stresses in concrete at both initial and service stages. Assume total losses (20%), initial prestress stress (fi= 1000 N/mm²), and y = 25 kN/m³, Fig.3 6 m P₁=60 KN 6 m Aps b-370mm h2 h'3

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A cylindrical block of concrete is 300mm long and has a circular cross section of 100mm in diameter. It carries a total compressive load of 67KN and under this load contract 0.2mm. Estimate the compressive stress and strain .

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Consider a rectangular column subjected to axial compression. The material stress-strainrelationships have been idealized as shown below.a) What axial load will cause concrete to be at its maximum working stress?b) find the axial load P which produces εc = εs = 0.0011   NOTE : ( X1=124.6 , X2=385 , X3= 178 ) PLEASE HELPPP

PART B 2. (a) What is the criterion of failure of reinforced concrete flexural elements? What distribution of compressive stress is normally assumed across the compression zone of a reinforced concrete beam, and how does this compare to the actual stress distribution? (b) Obtain the ultimate moment of resistance of the beam section indicated in Figure 2, if the grade of the concrete used in the section is 35N/mm?, and the yield stress of the steel is 500N/m2 s) 750 6T20 350 ST25 6T25 200 Figure 2

1.From the figure below; bending moment of 8 KN-m. The normal weight of concrete has an fc' of 26.4 MPa.   solve and show the solution