1.) Given the following properties of a rectangular concrete beam: b = 280mm, d = 480 mm, f'c = 21 MPa, fy = 414 MPa. The beam is reinforced for tension only. Determine the design strength under the following conditions. %3D a.) When the beam is reinforced with three 25 mm diameter bars. b.) When the beam is reinforced with four 25 mm diameter bars. c.) When the beam is reinforced with seven 25 mm diameter bars.

1.) Given the following properties of a rectangular concrete beam: b = 280mm, d = 480 mm, f'c = 21 MPa, fy = 414 MPa. The beam is reinforced for tension only. Determine the design strength under the following conditions. %3D a.) When the beam is reinforced with three 25 mm diameter bars. b.) When the beam is reinforced with four 25 mm diameter bars. c.) When the beam is reinforced with seven 25 mm diameter bars.

Materials Science And Engineering Properties

1st Edition

ISBN:9781111988609

Author:Charles Gilmore

Publisher:Charles Gilmore

Chapter12: Composite Materials

Section: Chapter Questions

Problem 12.7P: Estimate the transverse tensile strength of the concrete in Problem 12.6.

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1.) Given the following properties of a rectangular concrete beam: b = 280mm, d = 480 mm, f'c = 21 MPa, fy = 414 MPa. The beam is reinforced for tension only. Determine the design strength under the following conditions. a.) When the beam is reinforced with three 25 mm diameter bars. b.) When the beam is reinforced with four 25 mm diameter bars. c.) When the beam is reinforced with seven 25 mm diameter bars.
The 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.
If 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
A beam having a width of 500 mm and a total depth of 800mm is reinforced with 6-32mm dia bars. Compressive strength of concrete is 28 MPa and yield strength of reinforcing bars is 420MPA. 640 mm 800 mm 6 #32 C 80 mm 80 mm Determine the following: 1. depth of the compression block 2. strain in the tension reinforcement 3. moment reduction factor 4. nominal moment capacity 5. ultimate moment capacity 6. actual steel ratio 7. minimum steel ratio 8. maximum steel ratio 9. Tension force 10. Compression force
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.
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
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
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
A beam having a width of 500 mm and a total depth of 800mm is reinforced with 6-32mm dia bars, Compressive strength of concrete is 28 MPa and yield strength of reinforcing bars is 420MP.. 640 mm 800 mm 6 #32 80 mm 80 mm Determine the following: 1. depth of the compression block 2. strain in the tension reinforcement 3. moment reduction factor 4. nominal moment capacity 5. ultimate moment capacity 6. actual steel ratio 7. minimum steel ratio 8. maximum steel ratio 9. Tension force 10. Compression force
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 mm
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
A rectangular beam has the dimensions (see Figure) b = 12 in, h= 20 in, and d= 17 in. and is reinforced with three No. 9 (No. 29) bars so that As - 3.00 in?. The concrete compressive strength fe is 4000 psi, and the tensile strength in bending (modulus of rupture) is 475 psi. The yield point of the steel f, is 60,000 psi. Determine the stress in the steel caused by a bending moment M = 10 ft-kips. 9 - 6.78 in, I- 4067 in, Es = 29000000, E - 3600000 L17 in. 20 in. 3 #9 bars (A, - 3.00 in.) 3 in. -12 in.- Select one: a. 2525 psi b. 2412 psi C. 2615 psi d. 2817 psi