The beam shown in the figure below has the following properties: 28-ft simple span f'c = 4000 psi, fr = 7.5√f'c reinforced concrete weight = 150 lb/ft³ a. The cracking moment in kp-ft is [Select] b. The self weight of the beam in kp/ft is [Select] 4 #7 14 in.- 21 in. 3 in. 24 in. c. The superimposed uniform load that will cause the beam to crack in k/ft is [Select]
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- 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 mmAssuming 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 cmDetermine 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
- 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 psiA concrete beam reinforced for tension has a section shown. The rebars are laid out in a single layer only. The compressive strength of concrete is 24 MPa and yield strength of steel bars is 345 MPa. b= 300 mm h=740mm sc=60mm As = 5 pieces of 36 mm diameter rebars 1. Calculate the depth of compression block in mm 2. Calculate the depth of neutral axis c in mm 3. Type failure (Tension, Compression, Transition) 4. Calculate the actual tensile stress in the tension reinforcements in MPa 5. Calculate the Ultimate Moment Capacity of the beam in kN-m b As SCDetermine the required tension steel area of the T beam with given properties below. Width of flange bf = 500 mm Width of web bw = 400mm Thickness of flange tf = 140 mm Effective depth d = 380 mm Effective concrete covering d' = 75 mm Compressive strength of concrete fc' = 30 MPa Yield stress of steel bar fy = 300 MPa Mu = 448 kN-m As = mm2
- 1) A rectangular reinforced concrete beam with dimensions b = 14 in, d = 25 in, and h = 28 in is reinforced with three No. 10 bars. Material strengths are fy = 60000 psi and fc' = 5000 psi. a. Find the cracking moment based on the uncracked transformed section b. Determine the maximum moment that can be carried without stressing the concrete beyond 0.45fc' or the steel beyond 0.6fy. Hint: Assume maximum compressive stress in the concrete to be 0.45fc' and check whether the maximum steel stress reaches 0.6fy. This way you can check which one is reached first C. Find the nominal moment capacity of the beamA Normal-weight concrete T beam shown in the figure below is reinforced at the tension side by 3 - #25 bars. The concrete is assumingly uncracked and has a compressive strength of fe' = 29 MPa, fy=370 MPa, and the clear concrete cover is 40 mm, the modular ratio is n=9, and the web rein. is #10 mm. Determine the cracking moment (kN m) of the section using solution 2. 1300 125 250 500The T-beam shown in figure resulted from monolithic construction of the beam and slab. The effective flange width is 1100 mm and the uniform slab thickness is 120mm. Width of beam is 340 mm, total depth of the T-section is 590 mm. The centroid of steel is 70 mm from extreme concrete fiber. Concrete strength f’c= 21 MPa amd steel strength fy= 415 MPa. 1 Calculate the nominal strength of the beam for positive moment neglecting the contribution of the top reinforcement, KN-m A 428.55 B 503.20 C 355.96 D 637.52 2 Calculate the nominal strength of the beam for negative moment, KN-m A 289.88 B 275.53 C 311.67 D 325.48
- A rectangular steel block is 75 mm in the x-direction, 50 mm in the y-direction and 100 mm in the z direction. The block is subjected to triaxial loading consisting of three uniformly forces as follows: KN tension in the x-direction, 250 KN compression in the y-direction, and 240 KN tension in the z-direction. If u = 0.3 andE = 200 GPa, Determine the total resulting strain in the x- direction. %3DDetermine the required tension steel area of the T beam with given properties below. Width of flange bf = 500 mm Width of web bw = 340 mm Thickness of flange tf = 140 mm Effective depth d = 350mm Effective concretee covering d' = 75mm Compressive strength of concrete fc' = 34.5 MPa Yield stress of steel bar fy = 375 MPa Mu = 415 kN-m As = _________ mm2Problem 1: Transformed Moment of Inertia and Elastic Deflection Given: The center of the top and bottom rebars are placed 2.5" from the top and bottom faces. Top Reinforcement: 2 no. 4 Rebar Bottom Reinforcement: 4 no. 9 Rebar Use textbook table A-1 for rebar properties Es = 29,000 ksi Ec = 3,600 ksi Unit weight of plain concrete = 145 lb/ft³ a. Find the transformed moment of inertia of the composite section. b. Calculate the reinforcement ratio p where p is Asb/bd. Asb is the area of the bottom steel, d is the depth from the top face of the beam to the bottom steel, and b is width of the beam. 16" c. A 30' simply supported beam has this cross-section. Ignoring the effects of cracking, how much would the beam deflect under its own self-weight and a live load of 0.64 kip/ft? d. Often the unit weight for reinforced concrete is assumed to be 150 lb/ft³. Repeat part c. using this assumption. e. Repeat part c. using the gross moment of inertia. Note: the gross moment of inertia is the…