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- 1. A two span beam subjected to shear and flexure only is reinforced as follows: SECTION: TOP BARS @ MIDSPAN: 2-⌀20mm @ FACE OF SUPPORTS: 5-⌀20mm SECTION: BOTTOM BARS @ MIDSPAN: 3-⌀20 mm @ FACE IF SUPPORTS: 2-⌀20 mm 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: a. Design Moment strength of section at midspan for positive bending = ______ kN·m (nearest whole number)Problem No. 3 A beam 200x450mm is reinforced by 2-32mm diameter rebar. Assume cc-50mm, stirrups-10mm, fc'-21Mpa and fy-415Mpa. Calculate the following. 18. Calculate the strain of the steel reinforcementA rectangular bear has a wish of 300mm and a total depth of 650mm , calculate the area of steel reinforcement repral Take, M. 360kN.m f30 MPa and , 400MP
- Situation 10: 困 Given Beam Data and use 2010 NSCP: File Home Insert Draw Design Layout Referenc & Share Beam width, bw = 300 mm Concrete, f'c = 21 MPa Effective depth, d = 600 mm X Cut O Find Calibri (Body) 11 A A Steel Strength, fyt = 275 MPa e Copy abc Replace Stirrups = 2 legs, 10 mm o 32. The required spacing of the stirrups if Vu = 50 KN. Paste Ostirrups = 0.75 BI U v abe X, x V Format Painter A Select - Clipboard Font Editing d. 100 а. 100 b. 150 с. 200 d. NOTA 33. The required spacing of the stirrups if VU = 100 KN. а. 100 b. 200 с. 300 d. NOTA 34. The required spacing of the stirrups if VU = 200 KN. а. 100 b. 200 С. 300 d. NOTA 35. The required spacing of the stirrups if Vu = 550 KN. а. 100 b. 150 с. 200 d. NOTA Situation 11: A reinforced concrete beam has a width of 300mm and an effective depth of 510 mm. It supports a factored uniform load of 68 KNm providing a maximum factored shear at face of the support equal to 220 kN. Use normal weight concrete and f'c = 24 MPa. For the…feu = 40 MPa Cover = 3smm fy = 500 MPa fy = 250 MPa Preferred link size = 10mm Question 2 Design the reinforcement for the following one-way slab: Slab thickness,h= %3D 160 mm Design Mid-span Moment, M = 35 kNm Preferred bar sizes = main bar: 12mm; distribution bar: 10mm Q2a. Calculate the steel area required (in mm2per m width). Q2b. Provide main bars and distribution bars.Refer to figure SD-07Q007. Given: Slab thickness = 150 mm Dead load = 4.8 kPa (superimposed) Live load = 3.0 kPa Longitudinal beams and girders shown are simply supported at their continuous and discontinuous ends. The plan is that of an office building, if only panel CGDH is occupied. Dimensions are: S₁ = 6.0 m Beams: W350 x 142 Problem 10 Problem 11 Problem 12 S₂ = 6.0 m B E S3 = 6.0 m Girders: W460 x 143 What is the maximum positive moment (kN.m) for beam CG? a. +74.4 b. +77.1 c. +78.2 What is the maximum negative moment (kN.m) for beam GK? a.-51.8 b. -18.0 c. -9.0 What is the maximum positive moment (kN.m) for beam KO due to live load? a. +27.4 b. +21.6 c. +4.5 E H F S4=2.5 m K FRAMING PLAN Fig. SD-07Q007 Ss=2.5 m J 0 N M X d. +75.3 d.-13.5 d. +2.3 S6=2.5 m
- Date: Practice Problem 1 Given the following girder properties: bne lalxA ben Properties A = 11500 mm2 y = 266x106mm* ly = 45x106mm* d. = 350 mm %3D bf = 250 mm F, = 248 MPa Fb = 148 MPa F, = 99 MPa tf = 16 mm tw =10 mm a) Find the Web Shear Capacity b) How much is the horizontal shear capacity (kN) at the neutral axis? c) If the girder was used as an 8-meter-long simple span carries equal concentration dead load, P at every quarter points and a uniform load of 12.2 kN/m, determine the load P based on shear capacity. d) Find the maximum shear stress if it is used as a 8 m beam simply supported at the left end and 2 m from the right end which carries a total uniform load of 45 kN/m.4) A simply supported beam is reinforced with 4-ϕ28 mm at the bottom and 2-ϕ20 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 limiting tensile steel strain 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)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)
- 2. A piece of wood was cut into 3 pieces as shown below and will form into a l-beam section. Planks 1 will be the top and bottom flange members while the Plank 2 will be the web member. A sample l-beam is shown below. In addition to that, a steel plate will be installed (at the center) at the bottom of the l-beam to ensure its strength. Calculate the I subscript x with bar on top end subscript (Moment of Inertia with respect to centroidal x-axis) of the built section. b top flange h bot flange 1 1 3b b 3b 8 4 8 tp Wp Given o b = 2.1 cm h = 36 cm tp = 0.55 cm wp = 21 cm 2. web6. ESTIMATION OF QUANTITIES OF STEEL & R.C.C. ELEMENTS EPU Example 1: Estimate the Slab reinforcement for the given figure below. All the straight bottom bars are 10mm@400mm c/c. All offset bars 12mm@400mm c/c, All Additional Top bars 12mm@400mm c/c. The slab thickness is 150mm. Assume cover is 25mm & wall thickness20cm 0.45 0.45 3.70 4.70 0.45 0.45 3.70 5.20 3.10 1.60 150Material Strengths: of=41.4 MPa, fy = 414 MPa Determine the moment capacity (M) of the beam with the following details. There are two layers of reinforcement. Excerpt from the code: Where parallel reinforcement is placed in two or more layers, bars in the upper layers shall be placed directly above those in the bottom layer with clear distance between layers not less than 25 mm. b=300 mm h=500 mm Cc = 40 mm dtie =12 mm dagg = 24 mm As = 8-25 mm diameter