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- 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 prestressA 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 isA 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 failure
- 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* 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.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
- fc = 25 mpa, fy = 414 the tensile stress is in the concrete is?CASE:A rectangular beam has the dimensions (see Fig.1) b = 15 in.,h = 30 in., and d = 27.37 in. and is reinforced with three No.9 bars. The concrete compressive strength fc' is 4000 psi, and the tensile strength in bending (modulus of rupture) is 475 psi. The yield point of the steel fy is 60,000 psi, the stress-strain curves of the materials being those of Fig.2. Determine the stresses caused by a bending moment M = 45 ft-kips.Question1:Check this case, would the concrete of the beam crack? Please calculate the strengths of those two materials in this beam.Question2:Suppose the beam under this case is subject to a bending moment M = 110 ft-kips (rather than45ft-kips as previously). Calculate the relevant properties and stresses.Question3:Determine the nominal moment Mn at which the beam of this case will fail. Question4:Have a comparison of the calculation results with those of three questions.c) 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
- 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 uniformly9. If the value of the fc' of concrete is 30 MPa, and the actual stress of the concrete subjected to a force is 12 MPa, at what stage is the concrete at?| Choose the most appropriate answer for the following: 3. Which one of the following is not categorized as a long-term loss of pre-stress in a pre-stressed concrete member? Loss due to elastic shortening b. Loss due to creep c. Loss due to shrinkage а. d. Loss due to relaxation of steel 4. One of the following is not correct for pre-stressed concrete: a. Reducing cracks in the concrete b. High strength of concrete and steel c. Costy d. Suitable for long span and those carrying heavy loads. 5. Cross ties are used if the distance between a bar and the corner bar is greater than... 100 inches b. 100 cm c. 150 inches d. 150 mm а.