ANALYSIS AND DESIGN OF DOUBLY REINFORCED CONCRETE BEAMS 2. Determine the number of bars needed to resist an ultimate moment equal to 550 KN.m. if the beam has a width of 400mm and a total depth equal to 550mm. F'c=21 MPa, Fy= 415 MPa. Use 32mm for tensile reinforcement and if compression reinforcement is needed, use 20mm for compression 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)A rectangular beam has the dimensions (see Figure) b = 12 in, h= 20 in, and d= 17 in. and is reinforced with three No. 9 (No. 29) bars so that As - 3.00 in?. The concrete compressive strength fe is 4000 psi, and the tensile strength in bending (modulus of rupture) is 475 psi. The yield point of the steel f, is 60,000 psi. Determine the stress in the steel caused by a bending moment M = 10 ft-kips. 9 - 6.78 in, I- 4067 in, Es = 29000000, E - 3600000 L17 in. 20 in. 3 #9 bars (A, - 3.00 in.) 3 in. -12 in.- Select one: a. 2525 psi b. 2412 psi C. 2615 psi d. 2817 psiconcrete 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 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 - ø20 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: Effective flange width of an interior beam in mm = _______ Depth of uniform stress block at ultimate stage in mm to the neares whole number = _______ Tensile steel strain compatible with concrete strain of 0.003 in 3 decimal places = __________A concrete floor slab 100 mm thick is cast monolithic with concrete beams 2.0 m on centers. The beams have a span of 4.2 m, web width of 250 mm and overall depth of 450 mm. The tensile reinforcement consists of 4-25 mm diameters 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 placesDetermine the required tension steel area of the T beam with given properties below. Width of flange bf = 500 mm Width of web bw = 400mm Thickness of flange tf = 140 mm Effective depth d = 380 mm Effective concrete covering d' = 75 mm Compressive strength of concrete fc' = 30 MPa Yield stress of steel bar fy = 300 MPa Mu = 448 kN-m As = mm2
- Determine the required tension steel area of the T beam with given properties below. Width of flange bf = 500 mm Width of web bw = 340 mm Thickness of flange tf = 140 mm Effective depth d = 350mm Effective concretee covering d' = 75mm Compressive strength of concrete fc' = 34.5 MPa Yield stress of steel bar fy = 375 MPa Mu = 415 kN-m As = _________ mm2A 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.A concrete floor slab 10e 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 6-020 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 8.003 in 3 decimal places =
- The 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-aA concrete floor slab 100mm thick is cast monolithic with concrete beams 2.0m on centers. The beams have a span of 4.2m, web width of 250 mm and overall depth of 450 mm. The tensile reinforcement consists of 4-25 mm diameter bars in two rows with 25mm 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 beam having a width of 500 mm and a total depth of 800mm is reinforced with 6-32mm dia bars, Compressive strength of concrete is 28 MPa and yield strength of reinforcing bars is 420MP.. 640 mm 800 mm 6 #32 80 mm 80 mm Determine the following: 1. depth of the compression block 2. strain in the tension reinforcement 3. moment reduction factor 4. nominal moment capacity 5. ultimate moment capacity 6. actual steel ratio 7. minimum steel ratio 8. maximum steel ratio 9. Tension force 10. Compression force