A rectangular beam is to carry a factored moment of 272 kN-m, beam width is 250 mm, and its effective depth is 450 mm. If compression steel is needed, use d' = 60 mm. Use f'c=20.7 MPa and fy=344 MPa. Determine the required number of 25mm bars in tension reinforcement and in

A rectangular beam is to carry a factored moment of 272 kN-m, beam width is 250 mm, and its effective depth is 450 mm. If compression steel is needed, use d' = 60 mm. Use f'c=20.7 MPa and fy=344 MPa. Determine the required number of 25mm bars in tension reinforcement and in

Steel Design (Activate Learning with these NEW titles from Engineering!)

6th Edition

ISBN:9781337094740

Author:Segui, William T.

Publisher:Segui, William T.

Chapter9: Composite Construction

Section: Chapter Questions

Problem 9.10.2P

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The details of the cantilever beam are shown below. Use f’c = 28 MPa, fy = 415 MPa, and fyt = 275 MPa.Notes:• All dimensions are in millimeters.• Column reinforcement not shown for clarity• Column and beam are neither exposed to weather nor contact with the ground.• Analyze as singly reinforce beam only.• Neglect the weight of the beam.• Concrete is normal weight and reinforcements are galvanized. 1.what is the flexural capacity of the beam at face of support in kNm ? 2. What is the shear capacity of the beam at face of support in kN?3. What is the maximum Pu (kN) that can be applied at the free end of the beam considering flexure and shear?
The details of the cantilever beam are shown below. Use f’c = 28 MPa, fy = 415 MPa, and fyt = 275 MPa.Notes:• All dimensions are in millimeters.• Column reinforcement not shown for clarity• Column and beam are neither exposed to weather nor contact with the ground.• Analyze as singly reinforce beam only.• Neglect the weight of the beam.• Concrete is normal weight and reinforcements are galvanized. 1. What is the shear capacity of the beam at face of support in kN?2. What is the maximum Pu (kN) that can be applied at the free end of the beam considering flexure and shear?3. What is the required minimum cut length (mm) of each stirrup? Round your answer to nearest safe25 mm
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 KN
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 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)
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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)
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A 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.
3 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 = ?
An existing T-beam section was investigated and found out the following elements: Top bar reinforcement: 1500 mm2 Bot bar reinforcement: 2500 mm2 thickness of slab = 100mm effective depth from the surface of the slab = 450mm effective width of flange = 1000mm Top bar concrete cover at center of the bar = 50mm fy = 414Mpa f'c = 28Mpa use f’y = fy Determine the depth of compression block in mm, in 3 decimal places.
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.