1.Determine M, for a doubly reinforced concrete beam 14 in. wide by 30 in. deep reinforcedwith four No. 9 bars of tension steel and two No. 7 bars of compression steel. Use f= 4000 psiand fy = 60,000 psi.3 in.(76.2 mm)2 No. 74 No. 914 in.(366 mm)3 in.6.2 mm)(76.230 in.(762 mm)

ΦMn =445.44 kip-ftExplanation:Doubly reinforced concrete beamSolution: Effective depth of beam, d=…

Answered: 1. Determine M, for a doubly reinforced…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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A doubly reinforced beam, which have a base of 310 mm, and an effective depth of 410 mm, is reinforced with steel area of 2063 sq. mm at the bottom, and 1232 sq. mm on the top. Take d' = 70 mm, fc' = 21 MPa, and fy = 345 MPa. b) What is the value of fs' (actual stress of the compression bars) %3D None of the Choices 216.070 MPa O 188.266 MPa 241.923 MPa 229.239 MPa 202.413 MPa
1. A rectangular beam has b = 300mm, d = 500mm, AS = 6 – 36mm diameter bars, fc' = 28.6 MPa, fy = 414 MPa. Calculate: a) depth of compression block, "a" b) fs c) Þ d) Mu
A doubly reinforced beam, which have a base of 310 mm, and an effective depth of 410 mm, is reinforced with steel area of 2263 sq. mm at the bottom, and 1232 sq. mm on the top. Take d' = 70 mm, fc' = 21 MPa, and fy = 345 MPa. b) What is the value of fs' (actual stress of the compression bars)
Determine M for a reinforce concrete beam 16 in. wide by 32 in. deep reinforced with seven No. 10 bars (placed in two layers: five in the bottom layer, two in the top layer, with 1 in. clearance between layers). Use f = 4,000 psi and fy= 60,000 psi - 324 ith Cov. 2#10 510 1"Clr.
Help me how to design the REINFORCED CONCRETE BEAMS WITH IRREGULAR CROSS SECTION as shown infigure 1 using the following parameters:F’c = 3,500 Psi Fy=Grade 40 Stirrups = Φ10mmMu = 200 Kn-M All Concrete cover = 30mm Es=200,000 Mpa Find the following: AC area of compression concrete stress block in mm. Assume z = 0.85dEff a height of compression concrete stress block in mm. c distance from the neutral axis to outermost compression fiber in mm. z actual moment arm for Mu=ØTz in mm. As actual area of tension steel in sq.mm. N quantity of Ø20mm steel rebars ЄS Actual Strain of steel ЄY Yield Strain of steel Check if the beam is singly reinforced concrete in the designed then concludeCheck: ЄY < = > ЄS Draw the Working Drawings of the x-section.
32 A rectangular beam 250 mm wide, 500 mm deep is reinforced at the bottom with 4-20-mm-diameter bars and at the top with 2-16-mm bars. Concrete cover to bar centroid at the top is 80 mm and at the bottom is 70 mm. Use concrete strength f’c = 21 MPa and steel yield strength fy = 280 MPa for 20-mm bars and fy = 230 MPa for 16-mm bars. Determine the maximum steel ratio if the beam is singly reinforced in positive bending with the given material strengths and the tensile strain is limited to 0.004 upon crushing of concrete. Write the answer in 5 decimal places only.
Compute the Nominal Moment capacity, Mn for a rectangular beam with a b = 12 in and d= 24. for the following cases. Use ACI 318 Code provisions. Perform all the needed checks. a). Compressive strength of concrete = 4000 psi Yield strength of steel = 60000 psi Area of steel, As = 9 in². b) Compressive strength of concrete = 4000 psi Yield strength of steel = 40000 psi Area of steel, As = 9 in² c) Compressive strength of concrete = 4000 psi Yield strength of steel = 60000 psi Area of steel, As = 4 in² d) Compressive strength of concrete = 5000 psi Yield strength of steel = 60000 psi Area of steel, As = 4 in² e) Compressive strength of concrete = 6000 psi Yield strength of steel = 60000 psi Area of steel, As = 4 in² f) Compressive strength of concrete = 9000 psi Yield strength of steel = 60000 psi Area of steel, As = 4 in² g) Compressive strength of concrete = 4500 psi Yield strength of steel = 60000 psi Area of steel, As = 5 in² Based on the results of c, d, e, f and g, would you…
A 15 x 25 in. column is reinforced with four No. 9 (No. 29) bars, one in each corner as shown in Figure (a). The concrete cylinder strength is f. = 4000 psi and the steel yield strength is 60000 psi. Determine the axial load strength for zero eccentricity without subtraction of the concrete displaced by the steel, as well as with subtraction of the concrete displaced by the steel. E=0.003, E,-29000. Imperial Metric bar Linear Mass Density Nominal diameter Nominal area 25" bar size size (soft) Ib (in) (mm) (in') (mm") 2.5" -2.5" 0.250 - % 6.35 0.05 32 0.375 = % 9.53 0.11 71 0.500 = 4 12.7 0.20 129 0.625 = % 15.9 0.31 200 0.750 = % 19.1 0.44 284 0.875 = % 222 0.60 387 1.000 = % 25.4 0.79 510 1.126 - % 28.7 1.00 645 1.270- 1% 32.3 1.27 819 No.6 0.167 0.249 3 No. 10 0.376 0.560 #4 No. 13 0.668 0.994 Pn #5 No. 16 1.043 1.552 15" No. 19 1.502 2.235 #7 No.22 2.044 3.042 #8 No 25 2 670 3.973 As No 29 3.400 5.060 A's #10 No 32 4.303 6.404 e varies #11 No.36 5.313 7.907 1.410- 35.8 1.56 1.006…
REINFORCED CONCRETE DESIGN (ULTIMATE STENGTH DESIGN) Use fy = 60000 psi (414 MPa) and f'c = 4000 psi (27.6 MPa). Determine the following for each given illustration: a. Depth of compression block b. Depth of neutral axis C. Reduction factor d. Nominal Moment Capacity e. Ultimate Moment Capacity 2 #8 5 in. 3 in. 28 in. 2 #8 5 in. | 15/in. 20 in. 2 in.
B. A continuous concrete flooring system consists of a 3-in thick concrete slab supported by 15-in wide integral joists spaced 6 ft on center. The floor slab is loaded with a uniform factored load of 3000 Ib/ft? over a simplý supported span of length L = 20 ft. The concrete has a compressive strength of 3000 psi and reinforcement is Grade 60 steel. Calculate the minimum number of #11 bars at a depth d can be provided in a single row. Show that Mu s pMn. 24 in from the top face required to support the flexural load. Assume the reinforcement %3D
hinz 1. For the beam cross section below, determine the amount of steel As required to cause the strain in the tension steel & to be 0.005 just as the maximum strain in the concrete reaches 0.003. fc' = 3000 psi and fy = 60,000 psi. N.A. b= 10"- Cross Section d = 23" [7422 4233 134 S THE THE CALE DES 2 23-c me Like phans 0.005 PANE Strain 0.003 P HOME st 0.85f Stress 6 I.C. Nc NT * * * * * Delorme
5. A doubly reinforced rectangular beam has 3 - 20 mmɸ compression bars and 6 - 28 mmɸ.The breadth and overall depth are 410 mm and 650 mm respectively. Use 10 mmɸ stirrups,40 concrete cover, fc’ = 20.7 MPa, and fy = 345 MPa. Calculate the following(a) d (b) As’ (c) cbalance(d) a (e) fs’ (f) Cc(g) Cs(h) Abalance(i) check if compression steel yields (fs’ > fy)(j) design strength of the beam ( ? Mn)

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1. Determine M, for a doubly reinforced concrete beam 14 in. wide by 30 in. deep reinforced with four No. 9 bars of tension steel and two No. 7 bars of compression steel. Use f= 4000 psi and fy = 60,000 psi. 3 in. (76.2 mm) 2 No. 7 4 No. 9 14 in. (366 mm) 3 in. 6.2 mm) (76.2 30 in. (762 mm)