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 9.8.5P
To determine
(a)
Selection of a
To determine
(b)
Number of shear studs required.
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A W18 x 40 floor beam supports a 4-inch-thick reinforced concrete slab with an effective width b of 81 inches. Sufficient anchors are provided to make the beam fully composite. The 28-day compressive strength of the concrete is f,c = 4 ksi. a. Compute the moment of inertia of the transformed section. b. For a positive service load moment of 290 ft-kips, compute the stress at the top of the steel (indicate whether tension or compression), the stress at the bottom of the steel, and the stress at the top of the concrete.
Determine the following parameters for the design of concrete beam reinforced for tension only.The beam is simply supported on a span of 6 m and carries a load of 18 KN/m. Use ACI Specifications withfc’ = 17.2 MPa, fs = 124 MPa, n = 12, d’ = 65 mm, and ?concrete = 23.54 KN/m3.
A W21 x 57 floor beam supports a 5-inch-thick reinforced concrete slab with an effective width b of 75 inches. Sufficient steel anchors are provided to make the beam fully composite. The 28-day compressive strength of the concrete is f,c = 4 ksi.
a. Compute the moment of inertia of the transformed section.
b. For a positive service load moment of 300 ft-kips, compute the stress at the top of the steel (indicate whether tension or compression), the stress at the bottom of the steel, and the stress at the top of the concrete.
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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- Use the composite beam tables and select a W-shape and stud anchors for the following conditions: Span length = 18 6 Beam spacing = 9 ft Total slab thickness = 51 2 in. (the slab and deck combination weighs 57 psf). Lightweight concrete with a unit weight of 115 pcf is used Construction load = 20 psf Partition load = 20 psf Live load = 225 psf Fy=50 ksi and fc=4 ksi A cross section of the formed steel deck is shown in Figure P9.8-9. The maximum live-load deflection cannot exceed L/360 (use a lower-bound moment of inertia). a. Use LRFD. b. User ASD.arrow_forwardNote 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. 9.6-5 For the beam of Problem 9.4-2. a. Compute the deflections that occur before and after the concrete has cured. b. It the live toad deflection exceeds L360 , select another steel shape using either LRFD or ASD.arrow_forwardNote 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.arrow_forward
- 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. 9.6-1 Compute the following deflections for the beam in Problem 9.2-1. a. Maximum deflection before the concrete has cured. b. Maximum total deflection after composite behavior has been attained.arrow_forwardA 16 × 20 in. column is made of concrete and reinforced with the same six No. 9 (in-lb) bars. The cross-section and the given material properties are shown below. (a) Draw the transformed cross-section. (b) Find the axial load that will stress the concrete to 1200 psi.arrow_forward3. A reinforced rectangular concrete beam having a width of 300 mm, effective depth of500 mm, fc’ = 24 MPa, fy = 415 MPa, 4 - 28 mmɸ, d’ = 65 mm. Present the following (a) actual steel ratio (b) maximum steel ratio (c) a(d) c (e) check if steel yields (f) ?steel(g) type of failure (h) reduction factor (i) moment capacityarrow_forward
- A rectangular beam which is limited to 350 mm by 650 mm is reinforced at the compression side with As’ = 1,000 mm2 and on the tension side As = 4,000 mm2. The beam has an effective depth of 510 mm and its neutral axis is located at 127.84 mm below the top of the beam. Assume steel in tension yields but that in compression does not yield. F’c = 35 MPa, β = 0.81, fy = 400 MPa. Steel covering on top is 50 mm. (a) Determine stress of steel in compression. (b) Determine the depth of compression stress block. (c) Determine the moment capacity of the beam.arrow_forwardA rectangular beam which is limited to 350 mm by 650 mm is reinforced at the compression side with As’ = 1,000 mm2and on the tension side As = 4,000 mm2. The beam has an effective depth of 510 mm and its neutral axis is located at 127.84 mm below the top of the beam. Assume steel in tension yields but that in compression does not yield. F’c = 35 MPa, β = 0.81, fy = 400 MPa. Steel covering on top is 50 mm. Determine stress of steel in compression. Determine the depth of compression stress block. Determine the moment capacity of the beam.arrow_forwardConsider the cantilever beam made of reinforced concrete. Determine if the steel and the concrete withstands loads. In the piece there are 3 steel bars of 16 mm in diameter placed at the top of the section. Consider Econcrete = 25GPa, Esteel = 200GPa, σ (break, concrete) = 35MPa, σ (break, steel) = 500MPa, SFconcrete = 1.4 (safety factor of concrete), SFsteel = 1.15 (safety factor of steel). * TIP: The allowable stress is given by σadm = σrup/SF Compare the maximum values obtained to those allowed by the material. Please show me all the calculations, step by step.arrow_forward
- Consider the cantilever beam made of reinforced concrete. Determine if the steel and the concrete withstands loads. In the piece there are 3 steel bars of 16 mm in diameter placed at the top of the section. Consider Econcrete = 25GPa, Esteel = 200GPa, σ (break, concrete) = 35MPa, σ (break, steel) = 500MPa, SFconcrete = 1.4 (safety factor of concrete), SFsteel = 1.15 (safety factor of steel). * TIP: The allowable stress is given by σadm = σrup/SF Compare the maximum values obtained to those allowed by the material. Please show me all the calculations, step by step. Thank you very much in advance.arrow_forwardA concrete beam has a width of 400 mm. It is reinforced at the bottom fiber with 4 – 28 mm deformed steel bars. Use f’c= (49) MPa and fy = (362) MPa. Determine the effective depth of the beam such that the design falls the boundary (a) between compression and transition zones as well as (b) between transition and tension zones.arrow_forwardA composite floor system consists of steel beams supporting a formed steel deck and concrete slab. The deck is shown in Figure P, and the total depth from bottom of deck to top of slab is 61⁄2 inches. Lightweight concrete is used (unit weight =115 pcf), and the 28-day compressive strength is 4 ksi. The deck and slab combination weighs 53 psf. The beams are spaced at 12 feet, and the span length is 40 feet. There is a 20psf construction load, a partition load of 20 psf, other dead load of 10 psf, and a live load of 160 psf. The maximum permissible live-load deflection is Ly/360. Use the composite beam tables and select a W-shape with Fy= 50 ksi. Design the stud anchors. Use partial composite action and a lowerbound moment of inertia. a. Use LRFD. b. Use ASDarrow_forward
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