Example No.4: A simply supported beam (12 m) span fpi=1172 MPa and fe =fci 35 MPa. Find concrete stresses midspan at initial stage and at service stage. The live load = 5.84 kN/m and R=0.8. 305 mm 508 mm 51 mm 51 mm
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- A spiral column with the diameter of 500 mm has the effective height of lo-4.0 m. The axial compressive strength of the concrete is f. = 14.3 N/ mm. The longitudinal steel bars are 6 22 with the yield strength of fy = 360 N/mm. The spirals are d 10@50 with the yield strength of fy = 270 N/ mm. If the concrete cover is 30 mm thick, determine the ultimate compressive capacity of the column.Three high-strength concrete poles, with an effective cross- sectional area of 40, 000m * m ^ 2 and a length of 2 m, support a stiff steel plate. The center post is 1 mm shorter than the others before the load P is applied. If the concrete's allowed compressive stress is 20 MPa, calculate the maximum load that can be carried. E = 30GPa for concreteThe beam cross section: Service loads: Steel young's modulus Es = 29,000,000 psi A 1 kN/m distributed load. Concrete young's modulus Ec = 3,500,000 psi A 10 kN concentrated load located at midspan. 10 kN Compressive strength of Concrete f'c = 3500 psi 1 kN/m Tensile strength of concrete f 'ct = 475 psi Steel yield point fy = 60000 psi %3D A 4.0 m 10" 8.0 m y 1. Determine the stress in the steel bars and concrete 23 bottom and top fibers. 25" 2. What value of the 10 kN concentrated load will cause cracks to appear on the concrete? 3. Determine the stress in the steel bars and concrete 3 No. 12 bottom and top fibers if the value obtained in point #2 is increased by 20%.
- Item 5 Column AB is made from high strength pre-cast concrete and reinforced with four in diameter A-36 steel rods. The allowable normal stress for the high strength concrete and the steel are (allow) con = 2.6 ksi and (allow) st = 24 ksi, respectively. The modulus of elasticity for high strength concrete is 4.2 x 10³ ksi and for A-36 steel is 29 x 10³ ksi. (Figure 1) Figure 1 ▾of 1 10 ft a P B9 in. 9 in. Section a-a Part A Determine the magnitude of the maximum allowable floor loading P. Express your answer to three significant figures and include the appropriate units. μA Pmax= 158.91 kips Submit My Answers Give Up Incorrect; Try Again; 2 attempts remaining ? Provide Feedback Continue21. The column of reinforced concrete is loaded with P = 8000 lbs. The modulus of elasticity (E) is 4.2E6 psi and the Poisson ratio is 0.15. 16in 16in What is the normal stress along section b-b? a. -15.625 psi b. -7.81 psi c. -2.60 psi d. -11.04 psiDetermine the required tension steel area of the T beam with given properties below. Width of flange bf= 410 mm Width of web bw = 250mm Thickness of flange tf = 130 mm Effective depth d = 380 mm Effective concrete covering d' = 75 mm Compressive strength of concrete fc' = 34 MPa Yield stress of steel bar fy = 275 MPa Mu = 400 kN-m As mm2
- PROBLEM: A rectangular reinforced concrete beam has a width of 310 mm and an effective depth of 490 mm. Concrete compressive strength (fc') is 21 MPa, and steel yield strength (fy) is 345 MPa. Use USD Method. DETERMINE: 4. Ultimate moment capacity if the beam is reinforced with 8 – 25 mm diameter tension steel. 5. Ultimate moment capacity if the beam is reinforced with 10 – 25 mm diameter tension steel.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 forcePROBLEM: A rectangular reinforced concrete beam has a width of 310 mm and an effective depth of 490 mm. Concrete compressive strength (fc') is 21 MPa, and steel yield strength (fy) is 345 MPa. Use USD Method. DETERMINE: 1. Ultimate moment capacity if the beam is reinforced with 4– 25 mm diameter tension steel. 2. Ultimate moment capacity if the beam is reinforced with 5 – 25 mm diameter tension steel. 3. Ultimate moment capacity if the beam is reinforced with 6 – 25 mm diameter tension steel. 4. Ultimate moment capacity if the beam is reinforced with 8 – 25 mm diameter tension steel. 5. Ultimate moment capacity if the beam is reinforced with 10 – 25 mm diameter tension steel.
- PROBLEM 1 A rectangular beam has a width of 260 mm and an overall depth of 470 mm. concrete cover is 60 mm from the centroid of bars. Concrete compressive strength f'c = 21 MPa. Steel yield strength fy = 415 MPa for longitudinal bars and 275 MPa for hoops. Determine the shear strength provided by concrete using the simplified calculation (a) if the beam is subjected to shear and flexure only, and (b) if the beam is subjected to axial compression force of 80 KN.Concrete re in orced a enially with eight steel column bars as shown in Fig. Each bar has diametes of 25 mm It opplied load 4 KN, compute the is 180 Gpa and 3. materi al. Es Stress developed in Ec = 12 Gpa. each 500mm %3D 500mm inThe maximum load of 200 KN was applied on a cylindrical specimen of concrete. Find the split tensile strength in MPa. Take depth as 150 mm and length as 300 mm.