A 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 is
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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 following data of a pre-stress concrete are given: Beam dimension ; bxh = 300 mm x 600 mm Loads Super imposed dead load 7 KN/m Live load = 20 KN/m Unit Weight of concrete 23 KN/cubic meter The beam is simply supported on a span of 15 meters and are pre tensioned with total initialpre tensioned with total initial force of 1750 KN from low-relaxation strand with centroid 220 mm below neutral axis throughout the beam length .There is a 15% loss of stress at service loads. The concrete covering of the pre-stressed concrete is _____mm., the total dead load is _____ KN/m.
- Problem 2: If f = 3 ksi what is the modulus of elasticity Ec and the maximum tensile stress fr that the concrete can carry before cracking (use ACI recommended equations). Assume a unit weight of the plain concrete is: a. Wc = 90- b. w lb lb 118- ft39 ft3) C. W = 160- Problem 3: Wight 3-6 Rugblom 4: Wight ? 7 lb ft32. 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 aboveThe flexural strength (fr) of concrete measured from the bending test is always higherthan the direct tensile strength (ft). In reality, the stress in the cracked part of theconcrete is lower than ft. Also, failure may occur on the compressive side. Assuming1) there is no tension softening in the cracked zone, i.e., tensile stress stays at ft; and 2)infinitely large compressive strength, draw the stress distribution over the depth of thebeam at ultimate failure when the curvature of the section is approaching infinity. Withthis stress distribution, show that the upper bound of fr/ft is equal to 3. (Hint: On rotating the section, because the compressive stress can increase well beyondft, the neutral axis will continue to shift towards to the compression side.)
- The concrete in the core of a spiral column is sub- jected to a uniform confining stress o, of 680 psi. What will the compressive strength o be? The un- confined uniaxial compressive strength is 5000 psi.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 Etye. Before loading, the concrete shrinks &z-conc = 0.05 (0.5%). This is less than if it were not restrained by “temperature steel", so the downdrag preloads the steel ơ2-0 = 3,000 psi. When the P = 200K is applied, estimate the final stress in the steel. %3D %3D
- 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 bA pre stressed concrete beam has a width of 200 mm and an overall depth of 400 mm. The permissible stresses in tension and compression due to pre- stressing alone are 4 N/mm and 25 N/mm respectively. Find the required pre- stressing force in the tendon and the eccentricity of the tendon, if a straight tendon with a constant eccentricity is to be provided in the beam. No external load or self weight effect is to be considered.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 mm