Calculate the moment of resistance of a R.C. beam of rectangular section 250 mm wide and 500 mm deep, if it is reinforced with 6 number of 20 mm bars on tension side and 5 number of 20 mm bars on compression side. Assume steel of grade Fe 250 and concrete of grade M20. Effective cover provided is 40 mm on both sides.
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- A rectangular beam 250 mm wide, 500 mm deep is reinforced at the bottom with d-20-mm-dismeter bars and at the top with 2-16-mm bars. Concrete cover to bar centroid at the top is M0 mm and at the bottom is 70 mm. Use concrete strength r'e-21 MPa und steel yield strength fy 415 MPa for 20- mm bars and fy= 275 MPA for 16 mm bars Detenmine the design moment capacity n kN m of the beam in negative bending. A 40.06 O45.07 C. 42.70 D47.553. A reinforced rectangular concrete beam having a width of 300 mm, effective depth of500 mm, fc’ = 24 MPa, fy = 415 MPa, 4 - 28 mmɸ, d’ = 65 mm. Present the following (a) actual steel ratio (b) maximum steel ratio (c) a(d) c (e) check if steel yields (f) ?steel(g) type of failure (h) reduction factor (i) moment capacitySeatwork No. 11 whole yellow sheet of paper or bondpaper A rectangular beam having a 7-m simple span is to Support a superimposed dead load of 28 kN/m and a live lood of x. The unit weight of concrete is 24 kN/m² Consider only 1 layer of reinforcements at the tension Zone. Ise Pmax to compute your area of steel. Given fc-40 MPa fg 400 MPa X= ID. No. 1000≤x≤ 2000 424 - 1000 = 1424 N/m 3950 - 2000 = 1,950 N/m
- 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 AsThe concrete post is reinforced axially with four symmetrically placed steel bars, each of cross-sectional area 900 mm2. Compute the stress in each material when the 1000-kN axial load is applied. The moduli of elasticity are 200 GPa for steel and 14 GPa for concrete. Compatibiltiy Equation . Ust Bearing |1000 kN plate Steel- Concrete 300 mm 300 mm Section a-aO 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'
- Situation #2 A concrete co lumn has a diameter 4 300 mm. The column has 6 6teel rinforcing bars. Each renforcing bar has a crocs-sectiomal area 4 J0o mm2. The column is I150m lorg and has a load 17 1,370 kn applied to a igid steel plati af the top y the column. The plati distributes the load evenly over the 4 the co lumn.) tumn) top E,- 300 GPa ard Ec=arGPa Find the sfress in the &feel ard in the concrete ard the defomation urder the load.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 0.003Situation: A beam has a width of 300 mm and total depth of 600 mm strength f'c-36 MPa. Steel yield strength fy=415 MPa The section is to be reinforced for tension only and the effective concrete cover is 65 mm. Which of the following most nearly gives the value of our balanced steel ratio? a. 0.00370 b. 0.03456 C. 0.02860 d. 0.03522 Which of the following most nearly gives the value of our balanced distance of the cuter most fiber of compression fiber to our neutral axis? a. 313.256 mm b. 354.68 mm C. 333.333 mm d. 322.435 mm Which of the following most nearly gives the value of our balanced depth of compression block? a. 248.412 mm b. 266.2676 mm C. 301.478 mm d. 281.261 mm
- Wood planks are used on each working level. The deck width/bearer span is 5 ft.. The bearers and posts are standard pipe and the pipe material is A36 steel with a yield stress of 36,000 psi and modulus of elasticity of 29,000,000 psi. Bearers are to be located at a vertical spacing of 10 ft (largest, lowest post height). Posts are to be 7 ft oc (plank length) parallel to the building wall and 5 ft apart (bearer length) perpendicular to the building wall. There are four working levels and the anticipated scaffold loading will be med duty. A. Assuming the ultimate bending strength of the planks is 3,800 psi (apply a 4:1 F.O.S.), determine the required minimum plank thickness to the nearest 100th. B. Based on the bearer material provided, what is the minimum pipe size that can be safely used? See Appendix 2 in your textbook for steel pipe properties. C. Based on the post material provided, can a 2” standard pipe be used safely? Be sure it satisfies buckling stress conditions only.A W 305 x 87, 7.5m llong, is pinned at both ends and braced in the weak direction at the third points. Determine the available compressive strength. Properties: A = 10,965 mm² lx = 331.2x106 mm4 ly = 55.78x106 mm4 •• Please Show Solutions Steel Design: Civil Engineering Answersi Pn=Fer Ag= 274.61 (10965) 1000 Pn=3011.05 KNA beam cast monolithically has the following properties: bf=1200mm, t or hf = 110mm, bw=380mm and h=800mm. It is reinforced with 10D32mm grade 420MPa bars. Concrete strength is assumed to be 27.5MPa and the centroid of tension reinforcement is located 665mm from the outermost compression fiber. A. Determine maximum nominal moment to ensure tension controlled, kN-m. B. Calculate the balanced steel area, mm2. C. Calculate the balanced moment in kN-m.