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- Calculate the corresponding depth of uniform stress block in a reinforced concrete beam 50*10 deep reinforced with bars 20-mm in diameter enclosed with 10-mm-dia stirrups when the tensile steel strain is 0.008 and concrete compeession strain is 0.003. f’c = 20 MPa express your answer in 2 decimal places only in mmA concrete test cylinder having length L=12 in and diameter d=6 in is subjected to axial compressive forces P in a testing machine. If the maximum shear stress in the concrete is not to exceed 2,000 psi, what is the safe value for the axial load p?A. 452,389 lb. B. 113,100 lb. C. 904,778 lb. D. 56,550 lb. The answer for this is letter B 113,100 lb but I dont know its solution. Please give me complete solution in order to get the 113,100 lb.Two 150 mm * 300 mm concrete cylinders with randomly oriented steelfiber contents of 0 and 2% by weight, respectively. After curing for 28 days,the specimens were subjected to increments of compressive loads until failure. The load versus deformation results were as shown in Table P7.45. Assuming that the gauge length is the whole specimen height, determine the following:a. The compressive stresses and strains for each specimen at each loadincrement.b. Plot stresses versus strains for the two specimens on one graph.c. The initial modulus of elasticity for each specimen.d. The ultimate strength for each specimen.e. The strain at failure for each specimen.f. Toughness. Curves may be approximated with a series of straight lines.g. Comment on the effect of adding fiber on the following:i. Modulus of elasticityii. Ultimate strengthiii. Ductilityiv. Toughness
- what would be the average compressive strength of concrete if the load at failure of the 3 trials are 55,100 kg 54,800 kg and 55,200 kg. Diameter of the sample is 6" a. 31.1 MPa b. 30.6 MPa c. 31.6 MPa d. 30.1 MPaQ5. The compressive strength of concrete specimen follows a normal distribution with a mean value of 2.8 ksi and Coefficient of Variation of 0.1. If the applied stress is 2.5 ksi, find the probability of failure.QI- A concrete cylindrical specimen 155 mm in diameter and 290 mm long is subjected to compressive loading up to failure. The following data shown in table below are obtained. Draw the stress- strain curve and determine: i) the concrete strength. ii) Initial Tangent Modulus. iii) Modulus of Elasticity. Iv) Secant Modulus at 90% of strength and v) State which type of stress strain behavior is this. Load, kN Deformation, mm×10* (Load - 8x16) (Deformation x 0.5x16) 222.5 103 413.1 206 635.2 324 730.4 378 856.1 432 953.6 486 1080.7 540 1171.2 756 1270.0 1025 1396.3 1395
- Strain profiles of a flexural reinforced concrete element section at yield and failure conditions are given in Figure 1. (a) Does this section satisfy the curvature ductility requirement of µ ≥ 8. (b) Briefly indicate two possible design modifications by which the ductility of a reinforced concrete section can be improved. Ey Yield &c = 0.002 Øy Eu = 0.004 pu Es = 10ɛy Failure Figure 1: Strain Profiles fy = 460 MPa Es = 200 GPaThe cross section of a beam constructed using Grade 50 concrete (Ec = 34800 MPa) is 300 mm x 500 mm (b x D) as shown in figure 1. Assuming d = 450 mm, Esteel = 200 GPa and the beam behaves elastically, determine the following: 1. Use the transformed method to determine position of neutral axis and cracking moment Mcr- 2. Determine the maximum concrete and steel stresses produced by a positive bending moment of 45 kNm in the uncracked section. 500 mm 300 mm 450 mm 4N20 Fig. 1 Cross section of beam in Question 1Problem 1: A square concrete column with dimensions 22 x 22 in. is reinforced with a total of eight No. 10 bars arranged uniformly around the column perimeter. Material stress-strain are given by curves a and c in Fig 1. Calculate the percentages of total load carried by the concrete and the steel as load is gradually increased from 0 to failure, which is assumed to occur when the concrete strain reaches a limit value of 0.0030. Determine the load at strain increments of 0.0005 up to the failure strain, and graph your results, plotting load percentage vs. strain. (Source: Design of Concrete Structures 16th ed., McGraw-Hill, 2021) (Hint: use strain compatibility) fs, ksi 60- 50 40 30 20 10 OL fc, ksi 6 5 T 4 3 2 1 0 0.001 Es or Ec Fig. 1 b a Steel b Concrete, fast loading c Concrete, slow loading d Elastic concrete 0.002 0.003
- The piece of wood shown below was used in an experiment. During the test it sheared parallel to the wood grain along the dashed line. Determine the average shear stress on that failure plane for a maximum load of P = 1575 lb. The dimensions of the wooden specimen are t = 2.0 in. and L = 6 in. Answer: L Average shear stress = psiA concrete specimen with b = d is supported at both ends 600mm apart. It is tested for flexure strength with load at midspan of 100kN and failed with a flexural stress of 52.083 MPa. What is the dimension b and d of the specimen in mm?In the ultrasound test performed in the axial direction on a 75x75x285 mm edge concrete prism weighing 850 g, it was measured that the sound passed through the 285 mm length in 78 microseconds. It was determined that a sample made of the aforementioned concrete made a unit shortening of 7.4x10-4 under 200 kgf/cm2 tension. The f - ε behavior of concrete is represented by the SMITH-YOUNG function. Calculate the possible compressive strength of the concrete in question. (Take the value of e as 2.71.)