1. Design a round spiral column to support an axial dead load of 1200 kN and live load of 1500 kN. Use gross steel ratio of approximately 3%. Assume fc' = 28 MPa and fy = 415 MPa. Use 25 mm bars for main reinforcement and 10 mm bars for spiral reinforcement. Use NSCP 2015. a. Compute for the required area of steel. b. Determine the number of longitudinal bars.
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- A simply supported beam is reinforced with 5-25mm at the bottom And 2-20mm at the top if the beam. Concrete covering to centroid of reinforcement is 70mm at the top and 64 mm at the bottom. The beam has a gross depth of 450 mm and gross width of 300 mm. Fc’=28 mpa fy= 415 mpa. Assume bars are laid out in a single layer. calculate the following if the limiting tensile steel strain is 0.004 for ductile failure: a) depth if neutral axis from the extreme concrete compression fiber ( in mm, in whole number) b) design strength of the beam section ( in kn•m , in whole number) c) maximum service uniform live load over the entire span in Addition to a DL = 20 kn/m ( including weight of the beam) if it has a span of 6 m ( in kn, in whole number)Connections Example: Calculate the strength of the single lap joint. The plates are made of 1"x4" wooden blocks with a 2" overlap. The glue can carry 125 psi in shear. The wood can carry an axial stress of 1000 psi. How much force P can the joint carry? Sketch and FBD P b a PA 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.
- A reinforced concrete beam has a width of 300 mm and an effective depth of 618 mm. Compressive reinforcement will be placed at d' = 60 mm, f'c = 28 MPa and fy = 415 MPa. Use Ø = 0.9 for flexure and load combination of U= 1.2DL + 1.6LL. Reference: NSCP 2015. a. Calculate the steel ratio for a balanced section, phal- b. Calculate the maximum steel ratio for a tension-controlled section, pmax. d. c. If the beam is to support a bending moment of 240 kN-m from dead load and 195 kN-m from live load, determine the required design flexural strength of the section. If the beam is to support a bending moment of 240 kN-m from dead load and 195 kN-m from live load, determine the number of 28 mmø bars required as tension reinforcement.Fill in the blanks: The steel rod is stress-free before the axial loads P₁ =169 kN and P2 = 88 kN are applied to the rod. Assuming that the walls are rigid, calculate the axial force in each segment after the loads are applied. Use E-200 GPa. A = 2000 mm² A = 900 mm² A = 1200 mm² Pr B C D 500 mm -250 250 mm 350 mm- ANSWER: KN, PBC = PCD = KN KN, PAB= (express it in whole number) AGiven a 10"X16" reinforced concrete beam section as shown. The main reinforcing rebars consist of two #6 (each #6 bar has a section area of 0.44 square inches). Concrete fc'=3000 psi. Rebar yield strength fy=60 ksi. What is the section's theoretical nominal bending moment capacity in ft-k? loll O A. 65.8 ft-k. OB. 57.0 ft-k. OC. 34.1 ft-k. OD. 29.7 fft-k. X²N 16"
- concrete floor slab 100 mm thick is cast monolithic with concrete beam 2.0 m on centers. The beams have a span of 4.2 m and have a web width of 250 mm, and overall depth of 450 mm. The tensile reinforcement consists of 4-25 mm bars in two rows with 25 mm vertical clear spacing. Use material strength f’c = 21 MPa and fy = 415 MPa. Calculate the following considering a T-geometry; a) effective flange width of an interior beam in mm b) depth of uniform stress block at ultimate stage in mm ( round of to nearest whole number) c) tensile steel strain compatible with concrete strain if 0.003 ( round if 3 decimal places)A simply supported beam is reinforced with 5-ϕ25 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 = __ mm3 A concrete floor slab 100 mm thick is cast monolithic with concrete beams 2.0 m on centers. The beams have a span of 4.0 m, web width of 250 mm and overall depth of 500 mm. The tensile reinforcement consists of 6-∅20 mm bars in two rows with 25 mm vertical clear spacing. Use material strengths f’c = 21 MPa and fy = 415 MPa. Calculate the following considering a T-geometry: Effective flange width of an interior beam in mm = ? Depth of uniform stress block at ultimate stage in mm to the nearest whole number = ?? Tensile steel strain compatible with concrete strain of 0.003 in 3 decimal places = ?
- A simply supported beam is reinforced with 5-ϕ25 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)A simply supported beam is reinforced with 5-ϕ25 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: 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)A simply supported beam is reinforced with 5-p25 mm at the bottom and 2-020 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)