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 9.10.2P
To determine
The nominal strength of the beam.
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A reinforced concrete beam has a width of 300 mm and an effective depth of 618 mm.
Compressive reinforcement will be placed at d' = 60 mm, f'c = 28 MPa and fy = 415 MPa. Use
Ø = 0.9 for flexure and load combination of U= 1.2DL + 1.6LL. Reference: NSCP 2015.
a. Calculate the steel ratio for a balanced section, phal-
b.
Calculate the maximum steel ratio for a tension-controlled section, pmax.
d.
c. If the beam is to support a bending moment of 240 kN-m from dead load and 195
kN-m from live load, determine the required design flexural strength of the section.
If the beam is to support a bending moment of 240 kN-m from dead load and 195
kN-m from live load, determine the number of 28 mmø bars required as tension
reinforcement.
The rectangular doubly reinforcement stress concrete block with the arrangement of reinforcement of 2N28
bars on top and 3N28 bars on bottom. The modulus of elasticity are Ec =23,500MPa and Es = 200,000MPa.
Dead load is 18KN/m and live load is 12KN/m.
f' = 25MPa
800
IDE
730
N12 ligs (fsv.f-500MPa)
Ast = 3N28
350
Span = 10m
Figure 3
Calculate the combination load for the reinforcement concrete beam shown in Figure 3. Unit: KN/m
with two decimal. 1.2G+1.5Q=w
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 = _________ mm2
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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- 4. Analyze the beam shown below given fe' = 3500 psi and fy= 60,000 psi: (a) Use d = 22 in. (effective depth of tension reinforcement), assuming the compression steel yields at the ultimate stage, calculate the reinforcing ratio of flexural reinforcement. (b) Is the beam underreinforced or overreinforced? Show reasons to your answer. (c) Calculate the nominal flexural strength of the section: M,? (d) Determine the design capacity of the section: øMn.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_forwardFind 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 d':= 50-mm 2 A, 2410-mm A's:= 628-mm 2 b A', Hi Asarrow_forward
- A simply supported beam is reinforced with 5-25mm at the bottom And 2-20mm at the top if the beam. Concrete covering to centroid of reinforcement is 70mm at the top and 64 mm at the bottom. The beam has a gross depth of 450 mm and gross width of 300 mm. Fc’=28 mpa fy= 415 mpa. Assume bars are laid out in a single layer. calculate the following if the limiting tensile steel strain is 0.004 for ductile failure: a) depth if neutral axis from the extreme concrete compression fiber ( in mm, in whole number) b) design strength of the beam section ( in kn•m , in whole number) c) maximum service uniform live load over the entire span in Addition to a DL = 20 kn/m ( including weight of the beam) if it has a span of 6 m ( in kn, in whole number)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_forwardDetermine the average normal stress developed in the wood fibers that are oriented along section a-a at 40° with the axis of the block. The section of the block measures 80 mm(width) x 120 mm(height) and is subjected to a 4kN compressive force. *arrow_forward
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