Exercise 2: Design of singly reinforced concrete sections Questions 1: A singly reinforced beam section is shown in the figure below. Calculate the nominal flexural strength Mn and the design flexural strength Mn. (Do not consider the hanger bars in the calculation) Questions 2: Based on the results (design moments) from Exercise 1, design the longitudinal reinforcement for the continuous beam. Design parameters: Hanger bars 450 4-D25 300 · f'e=280 kgf/cm² (or 28 MPa) fy=4200 kgf/cm² (or 420 MPa) Concrete cover = 4 cm or (40 mm) Longitudinal reinforcement areas (unit:mm²) Span AB Left Mid. Right Left Span BC Mid. Right Left Span CD Mid. end end end end end Required top steel 500 area Provided top steel bars (for example 4-D29) Bottom steel area Design parameters: f'e=280 kgf/cm² (or 28 MPa) fy=4200 kgf/cm² (or 420 MPa) Provided bottom steel bars Design- Strip 5.3 m E 5.3 m 5.3 m 6.7 m + Slab thickness 150 mm 6.7 m Beam 2 (cross-section =300x600 mm) 5.3 m D B 5.3 m Structural Framing Plan ၁ 5.3 m Right end

Exercise 2: Design of singly reinforced concrete sections Questions 1: A singly reinforced beam section is shown in the figure below. Calculate the nominal flexural strength Mn and the design flexural strength Mn. (Do not consider the hanger bars in the calculation) Questions 2: Based on the results (design moments) from Exercise 1, design the longitudinal reinforcement for the continuous beam. Design parameters: Hanger bars 450 4-D25 300 · f'e=280 kgf/cm² (or 28 MPa) fy=4200 kgf/cm² (or 420 MPa) Concrete cover = 4 cm or (40 mm) Longitudinal reinforcement areas (unit:mm²) Span AB Left Mid. Right Left Span BC Mid. Right Left Span CD Mid. end end end end end Required top steel 500 area Provided top steel bars (for example 4-D29) Bottom steel area Design parameters: f'e=280 kgf/cm² (or 28 MPa) fy=4200 kgf/cm² (or 420 MPa) Provided bottom steel bars Design- Strip 5.3 m E 5.3 m 5.3 m 6.7 m + Slab thickness 150 mm 6.7 m Beam 2 (cross-section =300x600 mm) 5.3 m D B 5.3 m Structural Framing Plan ၁ 5.3 m Right end

Materials Science And Engineering Properties

1st Edition

ISBN:9781111988609

Author:Charles Gilmore

Publisher:Charles Gilmore

Chapter12: Composite Materials

Section: Chapter Questions

Problem 12.7P: Estimate the transverse tensile strength of the concrete in Problem 12.6.

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A tensile test was performed on a metal specimen having a circular cross section with a diameter 0. 510 inch. For each increment of load applied, the strain was directly determined by means of a strain gage attached to the specimen. The results are, shown in Table: 1.5.1. a. Prepare a table of stress and strain. b. Plot these data to obtain a stress-strain curve. Do not connect the data points; draw a best-fit straight line through them. c. Determine the modulus of elasticity as the slope of the best-fit line.
Note For Problems 9.6-1 through 9.6-5, use the lower-bound moment of inertia for deflection of the composite section. Compute this as illustrated in Example 9.7. 9.6-2 Compute the following deflections for the beam in Problem 9.2-2. a. Maximum deflection before the concrete has cured. b. Maximum total deflection after composite behavior has been attained.
A W1422 acts compositely with a 4-inch-thick floor slab whose effective width b is 90 inches. The beams are spaced at 7 feet 6 inches, and the span length is 30 feet. The superimposed loads are as follows: construction load = 20 psf, partition load = 10 psf, weight of ceiling and light fixtures = 5 psf, and live load = 60 psf, A992 steel is used, and fc=4 ksi. Determine whether the flexural strength is adequate. a. Use LRFD. b. Use ASD.
The data in Table 1.5.3 were obtained from a tensile test of a metal specimen with a rectangular cross section of 0.2011in.2 in area and a gage length (the length over which the elongation is measured) of 2.000 inches. The specimen was not loaded to failure. a. Generate a table of stress and strain values. b. Plot these values and draw a best-fit line to obtain a stress-strain curve. c. Determine the modulus of elasticity from the slope of the linear portion of the curve. d. Estimate the value of the proportional limit. e. Use the 0.2 offset method to determine the yield stress.
A column in a building is subjected to the following load effects: 9 kips compression from dead load 5 kips compression from roof live load 6 kips compression from snow 7 kips compression from 3 inches of rain accumulated on the roof 8 kips compression from wind a. If lead and resistance factor design is used, determine the factored load (required strength) to be used in the design of the column. Which AISC load combination controls? b. What is the required design strength of the Column? c. What is the required nominal strength of the column for a resistance factor of 0.90? d. If allowable strength design is used, determine the required load capacity (required strength) to be used in the design of the column. Which AISC load combination controls? e. What is the required nominal strength of the column for a safety factor of 1.67?
In Example Problem 12.1, a uniaxial composite material is made into a circular rod Vbith a 1.27-cm diameter from 70 volume percent continuous carbon fibers and 30 volume percent epoxy. The rod is subject to an axial force of 100,000 N. The composite matcrial in Example Problem 12.1 is to be replaced with a less expensive composite made of 70 volume percent continuous E-glass fibers and 30 volume percent epoxy. The elastic moduli are 5 GPa for the epoxy resin and 72.4 GPa fos the E-glass. (a) Compare the elastic modulus, composite strain, fiber and matrix stresses, and density of this composite with the carbon epoxy composite in Example Problem 12.1. Usc the density of UHM carbon, and assume the density of the epoxy is 1.2g/cm3 . (b) Can both the E-glass fiber and matrix withstand the applied force?
According to Figure 5-20, is ii possible to completely separate one of the four materials from the other three? Explain your answer.
Note For Problems 9.6-1 through 9.6-5, use the lower-bound moment of inertia for deflection of the composite section. Compute this as illustrated in Example 9.7. 9.6-4 For the beam of Problem 9.4-1, a. Compute the deflections that occur before and after the concrete has cured. b. If the total deflection after the concrete has cured exceeds L240 select another steel shape using either LRFD or ASD.
A tensile test was performed on a metal specimen with a diameter of 1 2 inch and a gage length (the length over which the elongation is measured) of 4 inches. The dam were plotted on a load-displacement graph. P vs. L. A best-fit line was drawn through the points, and the slope of the straight-line portion was calculated to be P/L =1392 kips/in. What is the modulus of elasticity?
The results of a tensile test are shown in Table 1.5.2. The test was performed on a metal specimen with a circular cross section. The diameter was 3 8 inch and the gage length (The length over which the elongation is measured) was 2 inches. a. Use the data in Table 1.5.2 to produce a table of stress and strain values. b. Plot the stress-strain data and draw a best-fit curve. c. Compute the, modulus of elasticity from the initial slope of the curve. d. Estimate the yield stress.
How does a tensile stress differ from a compressive stress?
Compare the engineering and true secant elastic moduli for the natural rubber in Example Problem 6.2 at an engineering strain of 6.0. Assume that the deformation is all elastic.