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- two span beam subjected to shear and flexure only is reinforced as follows: Section @ midspan @ face supports Top bars 2-20mm 5-20mm Bottom bars 3-20mm 2-20mm Given Stirrup diameter: 10 mm concrete fc = 21 mpa steel rebar fy = 415 mpa stirrup fy = 275 mpa beam size b x h = 270 mm x 450 mm assume all bars laid out in single layer calculate the following: a) tensile steel ratio in positive bending moment at midspan (round off to 5 decimals) b) design moment strength of section at midspan for positive bending ( in kN•m , nearest whole number) c) nominal design strength of section at face of support for negative bending ( in kN•m , nearest whole number)Problem Solving: A rectangular beam has dimensions of 250 mm by 625 mm with an effective depth (distance from extreme fiber in tension to the centroid of the reinforcing bars) of 575 mm and is reinforced with three 25 mmp. The concrete cylinder strength f.' = 27.6 MPa and the tensile strength in bending (modulus of rupture) is 3.28 MPa. The yield point of the steel is 414.7 MPa. The beam carries a bending moment of 61 kN.m. E_ = 200000 MPa. E_ = 4700,f. Using the transformed area method, determine the stress in the extreme fiber in compression.Civil Engineering The section of a beam near a column is given below. Area of the top reinforcement is 800 mm2 and bottom reinforcement is 300 mm2. Is the section under or over-reinforced if the balanced reinforcement ratio is po =0,0209? bw = 200mmd= 300mm bw a) O Under-reinforced since 800 mm2 Asb e) Over-reinforced since 300 mm2 > Asb What is the distance of the neutral axis c from the top of the beam, if the top portion of the beam is in compression. Concrete is C30, longitudinal steel bars are o16 and made of B420C steel. Use design strengths in computation. b = 800 mm, d = 500mm, h For C30 concrete k = 0.82. your = 100 mm, b, = 300 mm. Hint: a) 53 mm b) O 46 mm c) O 20 mm 32 mm 26 mm
- Required information A composite beam is made by attaching the timber and steel portions shown with bolts of 12-mm diameter spaced longitudinally every 200 mm. The modulus of elasticity is 10 GPa for the wood and 200 GPa for the steel. The vertical shear is 4.4 kN. 12 mm 250 mm 12 mm 150 mm- Determine the average shearing stress in the bolts. (Round the final answers to two decimal places.) The average shearing stress in the bolts is MPa.06. The composite bar, firmly attached to unyielding supports, is initially stress-free. What maximum axial load P can be applied if the allowable stresses are 10 ksi for aluminum and 18 ksi for steel? Steel Aluminum A = 1.25 in.? E = 10 x 106 psi A = 2.0 in.2 E = 29 x 106 psi SUMMARY OF ANSWERS P kips -15 in: -12 in.- CS Scanned with CamScannerWhat is the characteristic strength of a mild steel reinforcement bar? Select one: O a. 415 N 415 N/mm O C. 250 N d. 250 N/mm
- Please draw a cross-section sketch and a plan view sketch showing the location and arrangement of both flexural and temperature/shrinkage reinforcement including center-to-center spacing. Using the following information: - Span: 11 feet - Dead load: 20 psf - Live load: 100 psf - Self-weight: 87.5 lb/ft2 - Concrete compressive strength: 4000 psi - Steel yield strength: 60,000 psi - Required thickness: 6 inches - Flexural reinforcement: two layers of #4 bars, spaced 9 inches center-to-center, with clear cover of 0.75 inches and depth of 1.5 inches from top of slab. - Temperature/shrinkage reinforcement: #3 bars, spaced 6 inches center-to-center, with clear cover of 0.375 inches and depth of .75 inches from top of slab. Please make sure sketch is clear and labled, thanks!O Find the ultimate moment of resistance for the rectangular section reinforced as shown below. material strengths: Concrete Reinforcement Width of section Reinforcement fcu:= 30-MPa fy:= 450-MPa b:= 280-mm d:= 510-mm A, 2410-mm d':= 50-mm A's:= 628-mm² b A', d'A simply supported beam is reinforced with 4-ø28 mm at the bottom and 2-ø20 mm at the top of the beam, Concrete covering to centroid of reinforcement is 70 mm at the top and 64 mm at the bottom of the beam. The beam has a gross depth of 450 mm and gross width of 300 mm. fc'=28 MPa, fy=415 MPa. Assume bars laid out in single layer. Calculate the following if the limitin tensile steel strains is 0.004 for a ductile failure: Depth of the neutral axis from the extreme concrete compression fiber to the nearest whole number = _____________mm Design strength of the beam section to the nearest whole number =____________ kN-m Maximum service uniform live load over the entire span in addition to a DL = 20 kN/m (including the weight of the beam) if it has a span of 6 m = _____________ kN/m (to the nearest whole number)
- 2. Determine if the composite beam pictured below is adequate for this application (this includes bending, shear, deflection and shear stud limit states). The dead load for this beam is 10 psf plus the weight of the deck, which is made from normal weight concrete. I 5" 5" Normal weight slab fc=4000 psi W24x94 Span length = 30' Service Live Load = 100 psf 3/4" Diameter Shear Connectors 8' o.c. typical Fu=60 ksi (shear connectors)Find the ultimate moment of resistance for the rectangular section reinforced as shown below. material strengths: Concrete Reinforcement Width of section Reinforcement fcu= 30-MPa fy:= 450-MPa b:= 280 mm d:= 510 mm d':= 50-mm 2 A, 2410-mm A's:= 628-mm 2 b A', Hi AsA two span beam subjected to shear and flexure only is reinforced as follows: Given: Stirrup diameter, ds = 10 mm Concrete f'c = 21 MPa Steel rebar = fy = 415 MPa Stirrup fy = 275 MPa Beam size b x h = 270 mm x 450 mm Assume all bars laid out in single layer. Calculate the following: Tensile steel ratio in positive bending at midspan = ______________ (in 5 decimal places) Design Moment strength of section at midspan for positive bending = _________ kN-m (nearest whole number) Nominal Moment strength of section at face of support for negative bending = ___________ kN-m (nearest whole number)