DETERMINE THE MOMENT OF INERTIA USING THE GIVEN X-AXIS OF THE SHADED COMPOSITE AREA AND STRUCTUCTURAL BUILT-UP SECTION. show fbd
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DETERMINE THE MOMENT OF INERTIA USING THE GIVEN X-AXIS OF THE SHADED COMPOSITE AREA AND STRUCTUCTURAL BUILT-UP SECTION. show fbd
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- # 2. A composite beam section consists of a 100mm concrete slab and a W400 x 46 steel section. The beam has a simple span of 8.0 m and has a spacing center to center of 2.3 m. Adequate shear connectors are assumed to be present and no shoring is used. Use the following data: LL = 4.8 kPaPartition weight = 860 N/m2100 mm concrete slab weight =12 mmfc’ =21 MPaFy = 250 MPa (A36 steel)n = 9 Properties of wide flange: W400x46A = 5884 mm2d =403.4 mmIx = 156.09 x 106 mm4Ss = 773.5 x 103 mm4Wt. =46 kg/m a. Compute the stress of steel before the concrete hardens.b. Compute the stress of steel after the concrete hardens.c. Compute the stress of concrete after the concrete hardens.A W410x 74.4 supports a slab with a thickness of 150mm. The effective width of the slab was computed to be 2000mm. The structural steel section of composite system has the following properties: Cross sectional Area = 9840 mm2 Beam depth, d = 413 mm Flange width, bf = 180 mm Moment of Inertia, I = 274.3 x 106 mm4 Determine the new location of the neutral axis from the top of the slab in mm if modular ratio is 10.Subject: Reinforced concrete Design- Civil Engineering A simply supported rectangular beam has a width of 300mm and the distance to the centroid of tension reinforcement is 330mm. The tension reinforcement has an area of 2463mm.2 and the area of compression reinforcement placed 70mm from the compression face of the beam is 1231.5mm.2, fy = 415MPa, fc'=30MPa, balanced steel ratio of 0.031.The design strength using 0.90 as the reduction faction is Choices A. 282kN.m B. 245kN.m C. 254kN.m D. 228kN.m
- a concrete floor slab 100mm thick is cast monotholic with concrete beams 2.0 m on centers. the beams have a span of 4.0m, web width of 259 mm and overall depth of 50 mm. the tensile reinforcement consists of 6-⌀20 mm bars in two rows with 25mm vertical clear spacing. use material strengths f'c=21MPa and fy=415MPa. calculate the ff considering a T-geometry: 1. effective flange width of an interior beam in mm 2. depth of uniform stress block at ultimate stage in mm to the nearest whole number 3. tensile steel strain compatible strain of 0.003Determining the spacing of a pair of connecting screws (connectors)between the slab and the steel beam working in a composite section. TheShear capacity of these connectors is 500 kg/bolt. Total Load = W=2500 kg/m (Does not include Own Weight of Beam and slab)IPR Profile 16”x74.4 kg/m Ec = 240,000 kg/cm2Ix = 27,430 cm4 Es= 2,100,000 kg/cm2W= 94.8 cm2Fy=2530 kg/cm212mW = 5000kg/m16.5"15cm90cmBeam description (repeated): A simply supported beam with aT-shaped section is being designed, as shown in the figure below. The beam has overall dimensions of 900 mm wide top flange, 750 mm deep, and a web thickness of 400mm and flange thickness of 150 mm. A total of 7-HD25 longitudinal reinforcing bars are located in the bottom of the beam, 4-HD25 bars at the top, and 8 - HD16 in the flange. The concrete strength is f'c = 30 MPa. The depth to the centre of the bar group at the bottom of the beam is 675mm. Question: If the unfactored shear actions due to dead and live loads are VG = 300 kN and VQ = 80 kN (including self-weight), calculate the nominal shear stress (vn) acting on the section. Give your answer below in MPa.
- An A992 W18x40 supports a steel deck oriented perpendicular to the beam. The total slab thickness is 5-inches and the rib height is 2-inches, thus leaving a concrete thickness above the deck of 3-inches. Assume two shear stubs per rib. The concrete is normal weight and fc = 5 ksi. The beam span is 30' and the spacing of the beams is 6-feet on-center. Determine how many 5/8-inch shear studs would be required perhalfofthe span to ensure that this section is fully composite. Show all work.A built-up section is used as a structural member for a two-storey structure. Two channels and angle bars are to be welded to a rolled W section as shown. Determine the following if every section have dimensions in inches equal to : a= 11.10, b= 3.05, c= 0.50, d=3 , e=1/2, f=18.60, g=11.10, h= 0.535, i= 0.87 * Compute the section modulus of the composite section: Use S= Ix/ c, where Ix = moment of inertia of built up section, c= distance from neutral axis to the topmost/ bottommost fiber of the built up section. Compute the radius of gyration with respect to the x-axis Centroidal moment of inertia with respect to the y-axis. Centroidal moment of inertia with respect to the x-axis. Compute the radius of gyration with respect to the y-axis pls help me solve this (T___T) P.S : 3 decimal placesBeam description (repeated): A simply supported beam with a T-shaped section is being designed, as shown in the figure below. The beam has overall dimensions of 900 mm wide top flange, 750 mm deep, and a web thickness of 400mm and flange thickness of 150 mm. A total of 7-HD25 longitudinal reinforcing bars are located in the bottom of the beam, 4-HD25 bars at the top, and 8 - HD16 in the flange. The concrete strength is f'c = 30 MPa. The depth to the centre of the bar group at the bottom of the beam is 675mm. Question: If the stirrups are R10 and spaced at 180 mm center to center along the entire length of the beam, calculate the strength provided by the shear reinforcement (Vs). Give your answer below in kN.
- Beam description (repeated): A simply supported beam with a T-shaped section is being designed, as shown in the figure below. The beam has overall dimensions of 900 mm wide top flange, 750 mm deep, and a web thickness of 400mm and flange thickness of 150 mm. A total of 7-HD25 longitudinal reinforcing bars are located in the bottom of the beam, 4-HD25 bars at the top, and 8 - HD16 in the flange. The concrete strength is f'c = 30 MPa. The depth to the centre of the bar group at the bottom of the beam is 675mm. Question: Assuming nominal shear reinforcement is provided, calculate the concrete contribution to the shear strength (Vc). Give your answer below in kN.The dimensions of a rectangular beam are limited to b = 300 mm and effective depth, d = 700 mm. Using f’c = 28 MPa, long bar fy = 415 MPa, calculate the required amount of tensile reinforcement so that a tensile strain of 0.005 is attained under a sustained ultimate bending moment of 1,200 kN.m. Compression bars centroid is 70 mm from beam edge. 6,180 3,839 4,387 5.353It can actually be relatively difficult to have the PNA in the web of a steel member in composite design since a very large steel section is typically required (and the overall design may not be very efficient). For a W33x221 and a slab thickness of 4-inches (f’c = 4 ksi), please determine the width of the concrete slab (be) that will place the PNA right at the intersection of the bottom of the flange and top of the web. Show all work. Refer to the figure below.