A simply supported rectangular beam 12 in. wide having an effective depth of 20 in. carries a total factored load of 1018 lb/ft, on an 18 ft clear span. Iffc=4000 Dsi. design the beam for shear.
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- 1. Determine the ultimate moment capacity of the T-beam shown below. The beam is reinforced with 6-032mm placed in two rows. Use fc=25MPA, fy=414MP.. 820 mm Il- 100 mm d= 610 mm 8 - 32 mn 250 mm 2. Determinethe safe concentrated live load at midspan that the doubly-reinforced beam section shown can carry if it has a simple span of 5m. Use f'c=21MPA, fy=276MPA, unit wt of concrete = 23.54KN/m³. 360 mm 2-0 25 mm Fď = 80 d= 680 mm 780 mm 8-0 36 mm 100 3. If in Prob. 2 the bottom bars are reduced to 6-032mm (3 in each row). Compute the safe concentrated live load at 1/3 span and 2/3 span the beam can carry.4.2. A rectangular beam having b = 10 in. and d = 17.5 in. spans 15 ft face to face of simple supports. It is reinforced for flexure with three No. 9 (No. 29) bars that continue uninterrupted to the ends of the span. It is to carry service dead load D = 1.27 kips/ft (including self-weight) and service live load L 3.70 kips/ft, both uniformly distributed along the span. Design the shear rein- forcement, using No. 3 (No. 10) vertical U stirrups. The more approximate Eq. (4.12b) for V, may be used. Material strengths are f 4000 psi and f, = 60,000 psi. 4.3. Redesign the shear reinforcement for the beam of Problem 4.2, basing V, on the more accurate Eq. (4.12a). Comment on your results, with respect to design time and probable construction cost difference.A simply supported rectangular beam 400 mm wide having an effective depth of 550 mm carries a total factored dead load 30 kN/m and a total factored live load of 50 kN/m. If the span is 6 meters, compute the 3- legged 10 mm stirrups spacing required. Use fc' = 21 MPa, fy = 345 MPa and fyv = 276 MPa O 138 O 168 O 140 O 148
- A rectangular beam having width of b = 300 mm and gross depth of h = 620 mm spans 5.2-m face-to faceof simple supports. It is reinforced for flexure with 3-φ25 mm bars that continue uninterrupted to the endsof the span. It is to carry service dead load DL = 22 kN/m (including self weight) and service live load LL =43 kN/m, both uniformly distributed along the span. Material strengths are f’c = 28 MPa and fy = 415MPa. Use load factors of 1.2D + 1.6L. Use 70 mm as cover to centroid of reinforcements.Determine the location from the midspan in meters where stirrups are no longer required. Expressyour answer in 2 decimal places.quarter points. The maximum live load deflection must not exceed L/240. Lateral support is provided 01 The beam shown in Figure 3 must support two concentrated live loads of 90 kN cah at ake he ends of the bam. Use steel with fy 450 MPa and select a W shape that can resist the live Josd 90 kN 90 kN 1.85 m 1.85 m 1.85 m 1.85 m 7.40 mH.W. (4) Design a rectangular beam for shear using ( 10 mm) U virtical if the beam is lodaed by dead load of 15.6 kN/m (incuding selfweight) and live load of 30 kN/m over a simple span of 5 m. fc'=24 MPa and fy=420 MPa
- A T-beam for a floor system has a slab thickness of 100 mm and a total depth of 550 mm. It has a web thickness of 300 mm. The T-beam is cast monolithically with the slab. The beam has a simple span of 6 meter with a spacing of 2.4 m center to center. The beam carries a live load moment of 194 kN-m and a dead load moment of 94 kN-m, fc’=20.7 MPa, fy = 413 MPa. Assume steel covering of 65 mm.a. Determine the effective width of flange.b. Determine depth of compression flange. c. Determine the required steel area.- Moodle English (en) A rectangular beam has a clear span of 18 ft long, is 12 in wide an effective depth of 20 in. Its supported a uniformly distributed dead load of 5.25 kips/ft and a live load of 4.75 kips/ft. Calculate the design shear at the critical section. Assume, f. = 4 ksi and fy = 60 ksi. W 5.25 k/ft W, = 4.75 k/ft 20 in 18 ft 12 in Select one: O a. 71.10 kips Ob. 92.80 kips Oc. 110.66 kips O d. 101.90 kipsThe rectangular beam with a span length of 7.2 m has an effective depth, d = 430mm and a width of 250mm. It has 2-legged 10mmØ stirrups spaced at 130 mm on centers all throughout the beam length. Determine the maximum wu that the beam can carry based on the shear capacity of the beam. Use fc' = 21MPa and Grade 40 rebars
- The simply supported I-beam is to carry a uniform distributed service dead load and live load totaling0.65 kips/ft over the 50 ft span, in addition to its own weight of 384 lb/ft. The beam will be pretensioned using multiple of seven-wire Grade 270 strands steel. Eccentricity is constant and equal to 12.5 in. The prestress force immediately after transfer is 432 kips. Prestress force due to time –dependent losses is equal to 267 kips. Properties of the beam cross-section: Ac = 369 in2 Ig = 50979 in4 c1 = 20.17 in c2 = 15.83 in r2=138 in2 a) Determine the concrete stress due to initial prestressing force only. f1, f2 b) Determine the concrete stress due to prestressing force plus self-weight only after all important losses occurred. f1, f2 c) Determine the concrete stress due to prestressing force and full service load after all important losses occurred. f1, f2Q5: Answer Only One A precast T beam is to be used as a bridge over a small roadway. Concrete dimensions are bw= 400 mm, hf 125 mm, and h= 750 mm. The effective depth d= 600 mm. Concrete and steel strengths are f 'c= 38 MPa and fy = 420 MPa, respectively. Determine the design moment capacity of the girder. The beam is used on a 5 m simple span. A) b = 1300 mm B) b = 1200 mm %3D %3D %3D %3D %3DAW460×60 steel beam is loaded as shown. Assume w - 50 kN/m, Mo - 95 kN-m, Las - 3.8 m, Lec - 1.6 m, E- 200 GPa, and I- 255 x 10° mm. (a) Determine the reaction force at roller B. Forces are positive upwards. (b) Determine the maximum positive bending moment in the span. (c) If the allowable bending stress is 210 MPa, determine the minimum acceptable section modulus for the steel beam. Mo LAB LBC Answer: (a) Ву - kN (b) Mpos kN-m (c) Smin x 10° m3