Traffic and Highway Engineering
5th Edition
ISBN: 9781305156241
Author: Garber, Nicholas J.
Publisher: Cengage Learning
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Chapter 20, Problem 13P
Repeat Problem 20-12, with the slab containing temperature steel in the form of welded wire mesh consisting of 0.125 in.2 steel/ft width. The modulus of steel, Es, is
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A slab with S/L = 0.40 has a thickness of 150 mm reinforced with 12 mm - diameterdeformed bars at spacing s = 200 mm on center. Assume f'c = 28 MPa and fy = 415MPa. Use clear cover of 20 mm. What is the governing steel ratio?
2. A uniform concrete slab is to be attached to two rods whose lowers ends are initially at the same level. What
is the required area, in mm?, of aluminum rod so that slab will remain level after it is attached to the rods?
Wi4 m
Aluminum
E = 72 GPa
Steel
A= 8V mm 2
E = 200 GPa
WI4 m
-Y/40 m-
Y/200 m
Determine the tensile steel ratio of a singly reinforced concrete beam for the following conditions using concrete strength f’c = 21 MPa and steel yield strength fy = 420 MPa.
Minimum as required by NSCP 2015. = [rmin] (5 decimal places)
Chapter 20 Solutions
Traffic and Highway Engineering
Ch. 20 - Portland cement concrete consists of what four...Ch. 20 - List and briefly describe the five main types of...Ch. 20 - What is the main requirement for the water used in...Ch. 20 - Prob. 4PCh. 20 - Prob. 5PCh. 20 - Prob. 6PCh. 20 - Prob. 7PCh. 20 - Prob. 8PCh. 20 - Prob. 9PCh. 20 - Prob. 10P
Ch. 20 - Prob. 11PCh. 20 - Prob. 12PCh. 20 - Repeat Problem 20-12, with the slab containing...Ch. 20 - Prob. 14PCh. 20 - Prob. 15PCh. 20 - Prob. 16PCh. 20 - Prob. 17PCh. 20 - Prob. 18PCh. 20 - An existing rural 4-lane highway is to be replaced...Ch. 20 - Prob. 20PCh. 20 - Prob. 21PCh. 20 - Prob. 22PCh. 20 - Prob. 23PCh. 20 - Prob. 24PCh. 20 - Prob. 25PCh. 20 - Prob. 26PCh. 20 - Prob. 27P
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- CASE:A rectangular beam has the dimensions (see Fig.1) b = 15 in.,h = 30 in., and d = 27.37 in. and is reinforced with three No.9 bars. The concrete compressive strength fc' is 4000 psi, and the tensile strength in bending (modulus of rupture) is 475 psi. The yield point of the steel fy is 60,000 psi, the stress-strain curves of the materials being those of Fig.2. Determine the stresses caused by a bending moment M = 45 ft-kips.Question1:Check this case, would the concrete of the beam crack? Please calculate the strengths of those two materials in this beam.Question2:Suppose the beam under this case is subject to a bending moment M = 110 ft-kips (rather than45ft-kips as previously). Calculate the relevant properties and stresses.Question3:Determine the nominal moment Mn at which the beam of this case will fail. Question4:Have a comparison of the calculation results with those of three questions.arrow_forwardArectangular concrete hollow section simply supported beam shown below have the following dimensions: b= 10-inch, w = 2 inches and h = 18 inches and spans 14 ft. The section should carry its own weight and imposed a dead load of 150 Ib/ft and a live load of 50 lb/ft. If the young's modulus is 10.2 x 10° psi and the density of concrete is 150 Ib/ft³, calculate the: 1. Permissible bending stress if the concrete strain is 0.003 2. The moment resistance of the beam 3. The maximum bending moment b warrow_forwardJm The two-way slab has been assumed to have a thickness of 150 mm. Check the NSCP 2015 equations to determine if the slab thickness is satisfactory for an interior panel. Use fc = 28 MPa, fy = 415 MPa and normal weight. What is the value of a 5.0m Express your answer in two decimal places. 4.0m 4.0m 4.0ml L all columns 300mmx300mm 1000mm 300mm Section A-A -5.0m 150mm + 350mm -5.0marrow_forward
- A 6m-simply supported beam cross-section is show in the figure below is prestressed with 15 wires of 5mm diameter at the bottom and 3 wires at the top. Assuming prestress in steel is 840 MPa and the density of concrete is 24kN/cu.m. Calculate the stress at bottom extreme fiber at midspan. (MPa) 250 mm- 25 mm 350 mm 65 mmarrow_forwardA reinforced concrete beam has a width of 400 mmand a total depth of 550 mm. The longitudinal bars at the top are 2– 28 mm and 4 – 32 mm at the bottom. Concrete strength is f’c =24 MPa and steel yield strength fy = 300 MPa. Steel cover is 70mm and modular ratio is 9.What is the transformed moment of inertia?What is the moment capacity?What is the safest uniformly distributed load that the beam cancarry if the length of the simply supported beam is 8 m.arrow_forwardThe three parts of this problem refer to the floor plan shown in figure. Assume that the entire floor system is constructed sand normal weight concrete that has a compressive strength, fc= 4000psi. Also assume that the longitudinal steel has a yield strength, fy=40 ksi, and that the transverse steel has a yield strength of fyt= 40ksi. The slab thickness is 6", with a superimposed dead load of 18 psf and live load of 26 psf. a). Design the spandrel beam between columns B1 and C1 for bending, shear, and torsion. Check that all of the appropriate ACICode requirements for strength, minimum-reinforcement area, and reinforcement spacing are satisfied. b). Design the spandrel beam between columns A1 and A2 for bending, shear, and torsion. Check that all of the appropriate ACI Code requirements for strength, minimum-reinforcement area, and reinforcement spacing are satisfied. c). Design the spandrel beam between columns B2 and C2 for bending, shear, and development length and splicing. Check…arrow_forward
- 1. Determine the area of reinforcing steel required for the T beam shown if concrete compressive strength is 28 MPa and steel yield strength = 420 MPa and modulus of elasticity of steel = 200,000 MPa. Check tensile strain to see that it is 0.005 effective width= 1600 mm 300 mm M₂=475 kN m 100 mm 600 mm 500 mmarrow_forwardA reinforced concreté column contains longitudinal steel equal to 1% of net cross-sectional area of the column. Assume modular ratio as 10. The loads carried (using the elastic theory) by the longitudinal steel and the net area of concrete are P and P, respectively. The ratio PJP, expressed as per cent isarrow_forwardDetermine the design moment strength of a hollow reinforced concrete section shown in Fig (2). f'c =28 mPa and fy= 420 mPa and check the specification of the section according to ACI Code. 100 100 100 Fig. (2). (All dimensions in mm) 700 mm 3632 300 mm 100 150 65arrow_forward
- H.W.2// A 200mm square concrete column is reinforced with 4 mild steel bars of 10mm diameter. This composite section is subjected to axial compressive load of 500KN. If modulus ratio of steel to concrete is 16, then find force resist by each material of the section.arrow_forwardProblem Solving: A rectangular beam has dimensions of 250 mm by 625 mm with an effective depth (distance from extreme fiber in tension to the centroid of the reinforcing bars) of 575 mm and is reinforced with three 25 mmp. The concrete cylinder strength f.' = 27.6 MPa and the tensile strength in bending (modulus of rupture) is 3.28 MPa. The yield point of the steel is 414.7 MPa. The beam carries a bending moment of 61 kN.m. E_ = 200000 MPa. E_ = 4700,f. Using the transformed area method, determine the stress in the extreme fiber in compression.arrow_forwardFLEXURAL ANALYSIS CONCRETE UNCRACKED Problem: Calculate the uniform load (in addition to the beam weight) which will cause the section to begin to crack if they are used for 28 ft simple span. = 4000 psi , the modulus of rupture f, = 7.5f',, and reinforced concrete weight is 150 lb/ft³. 15" 18" 2 #8 3" 12"-arrow_forward
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