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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Question
Chapter 9, Problem 9.8.8P
To determine
(a)
The W-shape and design of stud anchors by using composite beam tables, partial composite action and a lower-bound moment of inertia and LRFD.
To determine
(b)
The W-shape and design of stud anchors by using composite beam tables, partial composite action and a lower-bound moment of inertia and ASD.
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A rectangular beam has the dimensions (see Figure) b = 12 in., h - 20 in, and d 17 in. and is reinforced with three
No. 9 (No. 29) bars so that As - 3.00 in. The concrete compressive strength fe is 4000 psi, and the tensile strength
In bending (modulus of rupture) is 475 psi. The yield point of the steel f, is 60,000 psi. Determine the concrete
compression stress at the top fiber caused by a bending moment M- 10 ft-kips. 9- 6.78 in, I= 4067 in, Es=
29000000, E = 3600000
17 in.
20 in.
3 #9 bars
(A, - 3.00 in.?)
3 in.
-12 in-
Select one:
a. 390 psi
b. 1390 psi
c. 200 psi
d. 250 psi
Problem 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.
REINFORCED 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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- 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 doubly reinforced concrete beam of size 250 mm x 500 mm overall depth is reinforced with 2-12 mm dia. bars in compression zone and 3-20 mm dia. bars in tension zone, each at an effective cover of 40 mm. The grade of concrete and steel are M20 and Fe415 respectively. The strain in compression steel will be [Take stress in compression steel as 345 MPa]arrow_forwardA rectangular beam has the dimensions (see Figure) b = 12 in, h= 20 in, and d= 17 in. and is reinforced with three No. 9 (No. 29) bars so that As - 3.00 in?. The concrete compressive strength fe is 4000 psi, and the tensile strength in bending (modulus of rupture) is 475 psi. The yield point of the steel f, is 60,000 psi. Determine the stress in the steel caused by a bending moment M = 10 ft-kips. 9 - 6.78 in, I- 4067 in, Es = 29000000, E - 3600000 L17 in. 20 in. 3 #9 bars (A, - 3.00 in.) 3 in. -12 in.- Select one: a. 2525 psi b. 2412 psi C. 2615 psi d. 2817 psiarrow_forward
- Determine the required tension steel area of the T beam with given properties below. Width of flange bf = 500 mm Width of web bw = 340 mm Thickness of flange tf = 140 mm Effective depth d = 350mm Effective concretee covering d' = 75mm Compressive strength of concrete fc' = 34.5 MPa Yield stress of steel bar fy = 375 MPa Mu = 415 kN-m As = _________ mm2arrow_forwardI need correct answerarrow_forwardA 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.arrow_forward
- 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 Pa and steel yield strength fy = 415 MPa for 20-mm bars and fy = 275 MPa for 16-mm bars Determine the limiting tensile steel ratio for a tension controlled condition in positive or negative bending with the given material strengths.arrow_forwardI need the answer as soon as possiblearrow_forwardCASE: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_forward
- O Find the ultimate moment of resistance for the rectangular section reinforced as shown below. material strengths: Concrete Reinforcement Width of section Reinforcement fcu:= 30-MPa fy:= 450-MPa b:= 280-mm d:= 510-mm A, 2410-mm d':= 50-mm A's:= 628-mm² b A', d'arrow_forwardA beam cast monolithically has the following properties: bf=1200mm, t or hf = 110mm, bw=380mm and h=800mm. It is reinforced with 10D32mm grade 420MPa bars. Concrete strength is assumed to be 27.5MPa and the centroid of tension reinforcement is located 665mm from the outermost compression fiber. i.Determine the design strength in kN-m.arrow_forwardSituation: A beam has a width of 300 mm and total depth of 600 mm strength f'c-36 MPa. Steel yield strength fy=415 MPa The section is to be reinforced for tension only and the effective concrete cover is 65 mm. Which of the following most nearly gives the value of our balanced steel ratio? a. 0.00370 b. 0.03456 C. 0.02860 d. 0.03522 Which of the following most nearly gives the value of our balanced distance of the cuter most fiber of compression fiber to our neutral axis? a. 313.256 mm b. 354.68 mm C. 333.333 mm d. 322.435 mm Which of the following most nearly gives the value of our balanced depth of compression block? a. 248.412 mm b. 266.2676 mm C. 301.478 mm d. 281.261 mmarrow_forward
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