Steel Design (Activate Learning with these NEW titles from Engineering!)
6th Edition
ISBN: 9781337094740
Author: Segui, William T.
Publisher: Cengage Learning
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Chapter 9, Problem 9.4.3P
To determine
Number of studs of dimension
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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 beam, which is rectangular, has a base
of 250 mm, and d = 575 mm. The beam is
singly reinforced, where the recorded
strain in the steel is 0.005, and the strain
in the concrete is 0.003. fc' = 20.7 MPa, fy
= 414.6 MPa. Note: As is not Given
a) Determine the value of "a".
234.375 mm
None of the Choices
O 215.625 mm
O 206.250 mm
O 243.750 mm
O 225.000 mm
Chapter 9 Solutions
Steel Design (Activate Learning with these NEW titles from Engineering!)
Ch. 9 - Prob. 9.1.1PCh. 9 - Prob. 9.1.2PCh. 9 - Prob. 9.1.3PCh. 9 - Prob. 9.1.4PCh. 9 - Prob. 9.1.5PCh. 9 - Prob. 9.1.6PCh. 9 - A W1422 acts compositely with a 4-inch-thick floor...Ch. 9 - Prob. 9.2.2PCh. 9 - Prob. 9.3.1PCh. 9 - Prob. 9.3.2P
Ch. 9 - Prob. 9.4.1PCh. 9 - Prob. 9.4.2PCh. 9 - Prob. 9.4.3PCh. 9 - Prob. 9.4.4PCh. 9 - Prob. 9.4.5PCh. 9 - Prob. 9.5.1PCh. 9 - Prob. 9.5.2PCh. 9 - Prob. 9.5.3PCh. 9 - Note For Problems 9.6-1 through 9.6-5, use the...Ch. 9 - Note For Problems 9.6-1 through 9.6-5, use the...Ch. 9 - Note For Problems 9.6-1 through 9.6-5, use the...Ch. 9 - Note For Problems 9.6-1 through 9.6-5, use the...Ch. 9 - Note For Problems 9.6-1 through 9.6-5, use the...Ch. 9 - Prob. 9.7.1PCh. 9 - Prob. 9.7.2PCh. 9 - Prob. 9.7.3PCh. 9 - Prob. 9.7.4PCh. 9 - Prob. 9.8.1PCh. 9 - Prob. 9.8.2PCh. 9 - A beam must be designed to the following...Ch. 9 - Prob. 9.8.4PCh. 9 - Prob. 9.8.5PCh. 9 - Prob. 9.8.6PCh. 9 - Prob. 9.8.7PCh. 9 - Prob. 9.8.8PCh. 9 - Use the composite beam tables and select a W-shape...Ch. 9 - Prob. 9.8.10PCh. 9 - Prob. 9.10.1PCh. 9 - Prob. 9.10.2P
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- Please double check your final answer. Subject - reinforced concrete A simply supported rectangular beam has a width of 300mm and the distance to the centroid of tension reinforcement is 330mm. The tension reinforcement has an area of 2463mm.2 and the area of compression reinforcement placed 70mm from the compression face of the beam is 1231.5mm.2, fy = 415MPa, fc'=30MPa, balanced steel ratio of 0.031.The design strength using 0.90 as the reduction faction is Choices A. 282kN.m B. 245kN.m C. 254kN.m D. 228kN.marrow_forwardA beam, which is rectangular, has a base of 250 mm, and d = 625 mm. The beam is singly reinforced, where the recorded strain in the steel is 0.005, and the strain in the concrete is 0.003. fc' = 20.7 MPa, fy = 414.6 MPa. Note: As is not Given a) Determine the value of "a". %3Darrow_forwardThe question is in the picture. Thanksarrow_forward
- a. If the beam shown is uncracked, calculate the stress in concrete at the top and bottom extreme fibers under a positive bending moment of 80k.ft. 3 in. ● X= 4.75 w=8.5 u=6.75 v=8.5 S=11.75 in. 3 #10 Win. 18 in. Figure 1 in. Show Transcribed Text +++ E 27 in.arrow_forward1. A two span beam subjected to shear and flexure only is reinforced as follows: 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. Tensile steel ratio in positive bending at midspan = _____?______ (in 5 decimal places) b. Design Moment strength of section at midspan for positive bending = ____?_____ kN·m (nearest whole number) c. Nominal Moment strength of section at face of support for negative bending = _____?____ kN·m (nearest whole number)arrow_forwardQ3\ The composite bar is firmly attached to unyielding supports. Compute the stress in each material caused by the application of the axial load P = 40 kips. %3D Steel Aluminum A = 1.25 in.2 E = 10 x 106 psi A = 2.0 in.2 E = 29 x 10° psi P to 12 in. 15 in-arrow_forward
- 1.1 A two span beam subjected to shear and flexure only is reinforced as follows: 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: Tensile steel ratio in positive bending at midspan = ______?______ (in 5 decimal places)arrow_forwardDesign the simply supported beam shown in the Figure 1 for flexure Consider the following data. Characteristic compressive strength of concrete, fck= 25 N/mm? %3D Characteristic tensile strength of steel, fyk = 500 N/mm? Effective cover to reinforcement is 30 mm Density of Block work = 20 kN/m3 Draw the cross section of the beam at the mid span Height of 200 mm thick wall above the beam is 4 m 200 mm - Imposed Load-20kN/m 600 mm - 6 marrow_forwardA 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 = __________arrow_forward
- Determine the prestressing steel area required for the precast concrete T-beam. Use the following data: Total moment = 250 kN-m Effective stress fse= 862 MPa Allowable concrete stress = f.=11 MPa Consider zero stress at the bottom of the beam I=3673x106 mm4 A=103125 mm² Eccentricity = 271.6 mm Centroid of steel is located at 100 mm from the bottom of the beam. Select one: a. 591.97 mm b. 789.29 mm 2. C. 443.98 mm 2. d. 986.61 mmarrow_forwardCalculate the design bending strength for the doubly reinforced rectangular section where A’s = 2500 mm2 f’c= 30 MPa & fy = 350 MPa if As =8500 mm2arrow_forwardA 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.arrow_forward
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