Question A1.The doubly reinforced rectangular concrete section shown in Figure A-1 is designed for thehogging moment of a continuous beam. The section has a total depth of D mm, width B= 300mm and is reinforced with 4N28 bars at the top and 2N28 bars at the bottom.Given: f. = 40 MPa, fay = 500 MPa. Find other required data from AS3600-2018.a) Calculate the beam depth, D where D = 500+20n mm.Take n =3rd digit of your student number. For example: your student number =18505679, n = 5; D = (500+ 20*5)=600 mm)Note: Use the calculated D from (a) for the further calculation in (b-c).b) Calculate ultimate moment capacity (Mu) of the section.c) Check ductility of the section according to AS3600-2018.3004N282N28Figure A-1

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Answered: Question A1. The 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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Compute φMn for the beam shown in Fig.1 below using the ACI method of ultimate analysis in two different ways: (a) assuming d-top = 31.5” and d-bottom = 33.5”, and (b) assuming d-avg = 32.5”. Also compute the corresponding curvature, ψn. Use b = 12 in., h = 36 in., f’c = 6,000 psi and fy = 60,000 psi. All bars used are #9 bars. Note: d-top is the effective depth of the top layer of bars, and d-bottom is the effective depth of the bottom layer of bars. d-avg is the average effective depth of both layers of bars. Discuss your results from (a) and (b) and make relevant observations. Assume Es = 30 x 106 psi. Remember, as reiterated in the class lectures, you need to ensure (i) compatibility of strains, (ii) equilibrium of forces and moments, and (iii) stress-strain laws for both concrete and steel. As = 3 in^2 and Beta1 = .7 and (phi)(Mn) = .9
For the triangular beam with base b= 400mm and d=540mm determine the area of the compression stress block (shaded in green) if a=210mm. Assume d'=60mm. Ans in mm2. Do not write the units in your answer.
Using the tributary area method, compute the floor dead loads supported by columns Al and B2 in Figure 1. The floor system consists of a 6in thick reinforced concrete slab weighing 75 Ib/ft^2. Allow 15 Ib/ft^2 for the weight of floor beams, utilities, and a ceiling suspended from the floor. In addition, allow 10 Ib/ft^2 for lightweight partitions. The precast exterior wall supported by the perimeter beams weighs 600 Ib/ft.
Given: Mmax= 15.625 kN-m Vmax= 12.5 kN Depth of the beam= 250 mm 1. A simply supported 5 meter timber beam carries a 5 kN/m uniformly distributed load. If the beam's Ix is 260.4166 x 10^6 mm^4 and fb = 7.50 MPa, what is the base of the beam? a) 150 mm b) 180 mm c) 200 mm d) 220 mm 2. The shear stress fv developed for the beam of question 1 is a) 0.375 MPa b) 0.50 MPa c) 0.75 MPa d) 0.85 MPa
A rectangular beam has the following properties: b = 300 mm, d = 350 mm, tension bars As = 4-28mmØ, compression bars As’ = 2-28 mmØ, d’ = 60 mm. Determine the design strength of the beam.a. 233.155 kN.m. c. 636.511 kN.m.b. 332.511 kN.m. d. 755.321 kN.m. Calculate the ultimate axial load capacity of a round spiral column having a diameter of 400 mm reinforced with 6-20 mm Ø bars having fc’ = 24 MPa and fy = 276 MPa. a. 1941.401 kN c. 1841.321 kNb. 9141.401 kN d. 8141.321 kN
A beam section is shown in the figure. The beam will be subjected to a maximum service dead load of 215 kN.m. (including its own weight). Use f’c = 21 MPa and fy = 415 MPa. a.) Determine the effective depth of the beam. b.) Determine the distance of the neutral axis to the extreme compression fiber. c.) Determine the safe live load moment for this beam.
A floor slab 100 mm thick is cast monolithically with beams 300 mm wide 500 mm deep spaced 2 m on centers, on simple supports over a span of 6.0 m. The floor supports a superimposed service dead load of 1.77 kPa and service live load of 4.8 kPa. Using f’c = 21 MPa, long bar fy = 415 MPa, calculate: Using a T-beam geometry, determine the required amount of flexure bars for maximum ultimate bending. = [As] sq.mm (whole number)
The beam is 7m long with EI = 200MNm^2 Let P = 10 kN Find: 1. Slope at 2m from A. 2. Deflection at 2m from A.
the horizontal bar shown (length = 15.0 feet) rests on smooth indines. compute the distance X at which load T = 250 lbs should be placed from point B to keep the bar horizontal
A rectangular doubly-reinforced beam 450 mm wide and reinforced by 5-32mm diameter bars for tension and 3-28 mm diameter bars for compression and has the following properties: (NSCP 2010) d = 650 mm d’ = 70 mm f’c = 20.7 MPa fy = 344.80 MPa a. Find the depth of compression block. b. Find the ultimate moment capacity of the beam.
Consider the beam shown in (Figure 1). EIEI is constant. Suppose that PPP = 12 kNkN and www = 6 kN/mkN/m .
shows the floor framing plan of a reinforced concrete building. All beams are 300 mm x 600 mm. The properties are as follows: slab thickness = 100 mm; super imposed dead load = 3 kPa; live load = 4.8 kPa; concrete unit weight = 24 kN/m3. The columns at E and H are deleted thus girder BEHK alone supports beam DEF at E and beam GHI at H. Calculate the total ultimate load in kN concentrated at E induced by beam DEF using tributary area method.

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