Problem 1: A rectangular beam having b = 250 mm and d = 450 mm spans 4.5 m face to face of simple supports. It is reinforced for flexure with 4-28 mm bars that continue uninterrupted to the ends of the span. It is to carry service dead load of 17.5 kN/m (including self-weight) and service live load of 50.0 kN/m, both are uniformly distributed along the span. Use f'c = 28 MPa and fyt = 420 MPa. 1. What is the factored shear at critical section? 2. What is the nominal shear strength provided by the concrete at critical section? Use Detailed method for calculating Vc. 3. Determine the required spacing of shear reinforcements, use 10 mm vertical U Stirrups.

Problem 1: A rectangular beam having b = 250 mm and d = 450 mm spans 4.5 m face to face of simple supports. It is reinforced for flexure with 4-28 mm bars that continue uninterrupted to the ends of the span. It is to carry service dead load of 17.5 kN/m (including self-weight) and service live load of 50.0 kN/m, both are uniformly distributed along the span. Use f'c = 28 MPa and fyt = 420 MPa. 1. What is the factored shear at critical section? 2. What is the nominal shear strength provided by the concrete at critical section? Use Detailed method for calculating Vc. 3. Determine the required spacing of shear reinforcements, use 10 mm vertical U Stirrups.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

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.
A rectangular beam having width of b = 300 mm and gross depth of h = 620 mm spans 5.3-m face-to face of simple supports. It is reinforced for flexure with 3-φ25 mm bars that continue uninterrupted to the ends of the span. It is to carry service dead load DL = 20 kN/m (including self weight) and service live load LL = 42 kN/m, both uniformly distributed along the span. Material strengths are f’c = 28 MPa and fy = 415 MPa. 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. Express your answer in 2 decimal places.
A truck and trailer combination crossing a 10m simply supported span has axle loads of 0.8X, Y, and Z/3 separated respectively by distance of 1.5 m and 3.5 m. Design the beam in shear and bending (LRFD). Hint: The axle loads below are moving loads. Neglect the self-weight of the beam. Use W-shape A992 steel. 264 kN 189 kN 308 kN 1.5 m 3.5 m 10 m-
kindly solve this question|? A W 5300*101 of Steel Section (fy= 345 MPa & fu= 450 MPa) is used as simply supported beamwith a span of 15 m. The dead load is the summation of the super dead load (7 kN/m as uniformload) and the beam weight. In addition to the dead load, a uniform live load is applied to the beam.If the lateral support is provided at 3-meter intervals, what is the maximum service live load inkN/m that can be supported.
A reinforced concrete T-beam has an effective flange width of 800mm with a slab thickness of 110mm. The effective depth is 700mm and the width of web is 320mm. The beam is reinforced with 6325 sq.mm. Of steel with fy=345 MPa. Assuming fc'=26.50 MPa Calculate the service live load at midspan in addition to a total deadload of 8KN/m if the span of beam is 6m.
A prismatic beam having 275mm x 500 mm is reinforced for flexure at the bottom with 5- phi 20 mm with an effective deapth of 420mm. It is simply supported over a clear span of 6m and designed to support a total factored uniformly distributed load of 36kn/m over the entire span. Concrete weighs 24kn/^3, concrete streangth f'c = 21 mpa and rebar strength fy= 280 mpa. Determine the required nominal shear force the stirrups must sustain based on the critical shear force at a section located distance "d" from the face of the supporta. 24.2b. 32.2c. 28.4d. 15.3
A reinforced concrete one slab is built integrally surrounding with its supports (beam size is 200mm x 400mm) and consist of three spans, each with a clear span of 3.6m (exterior end), 3.4m (interior span) and 3.6m (exterior end) respectively. Design the Middle Span. LOADS: Ceiling = 0.35 kPa Flr Fin = 1.2 kPa Elec = 0.15 kPa Selfweight not yet included Live Load = 2.30 kPa PARAMETERS: Yconc = 23.6 kN/m3 fc = 21 MPa fy = 420 MPa; fytemp = 276 MPa Main bars dia = 12mm Temp bars, dia = 10mm Determine the Maximum Negative Moment at the Middle Span (kN- m) NOTE: Don't Consider the Live Load Pattern Loadings
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.
A welded plate girder of 18 m span having flange plates 400x16 mm for each flange and 200x10 mm web. Compute the sectional properties and moment of resistance of the plate girder . Design also the end bearing and intermediate transverse stiffener, if the girder is subjected to U.D.L. of 120 kN/m
A 4m simply supported beam (b = 230mm, h= 550 mm) will be used to carry a uniformly distributed load of WDL = 50 kN/m and WLL = 40 kN/m over its span. If the beam has an f'c of 20 MPa, fy of 415 MPa, effective depth of tension steel of 500 mm, effective depth of compression steel of 50 mm, determine if the beam can carry the loads. The beam is reinforced with 2-16mm bars on top and 5-20mm bars at the bottom.
5. A W540x150 simply supported beam 8 m long is to be loaded by a triangular distributed load that linearly increases from zero at the left end to 20 kN/m (dead) at the right end + a uniformly distributed load of 35 kN/m (live) throughout its entire span + its self-weight. It is braced laterally at the end supports. Use LRFD Provisions of NSCP 2015. Use Fy = 345 MPa. A.) Which segment of the beam will likely govern its moment capacity, and what is the corresponding lateral-torsional buckling modification factor, Cb? B.) What is the ultimate moment capacity of the beam, in kN-m?
H.W1 : An 2.44 m span cantilever beam has a rectangular section and reinforcement as shown in Figure. The beam carries a dead load including its own weight of 2 kN.m and a live load of 1.22 kN.m. Using fy = 414 MPa and f. = 27.58 MPa , check if the beam is safe to cary the above loads. 3 # 7 2.44 m 200 mm 460 mm 396 mm