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 9.8.1P
To determine
The flexural strength of the composite section.
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Q. Composite beam.
A simply supported beam is reinforced with 5-p25 mm at the bottom and 2-020 mm at the top of the
beam. Concrete covering to centroid of reinforcement is 70 mm at the top and 64 mm at the bottom of
the beam. The beam has a gross depth of 450 mm and gross width of 300 mm. fc'= 28 MPa, fy = 415 MPa.
Assume bars laid out in single layer.
Calculate the following if the limiting tensile steel strain is 0.004 for a ductile failure:
Depth of the neutral axis from the extreme concrete compression fiber to the nearest whole number =
mm
Design strength of the beam section to the nearest whole number =
kN -m
Maximum service uniform live load over the entire span in addition to a DL = 20 kN/m (including the
weight of the beam) if it has a span of 6 m =
kN/m (to the nearest whole
number)
STATICS OF RIGID BODIES
Centroids of Structural Sections.
Show fbd diagram and the complete solution
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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- For the singly reinforced beam, calculate the design strength under the following conditions: b = 250 mm; d = 400 mm; fc’ = 21 MPa; fy = 420 MPa ; As is 5- 20 mm diameter bars.arrow_forwardFor the following plan it is required to: 1- Design all beams for flexure and shear, where they have additional 30 kN/m distributed factored load 2- Design the columns. The concrete has a strength of 30 MPa, and the yield strength of the steel is 420 MPa. Show full calculations and neat sketches. All dimensions are in m. I 03 B2 0,3 7 B1 Wu=20 kN/m2 B1arrow_forwardPlease step by step process of solution.arrow_forward
- Q3.A:Determine the location of the centroid of the shaded area shown in figure below.by using the method of composite areas. 3cm 3 am Jem 9 amarrow_forwardA two span beam subjected to shear and flexure only is reinforced as follows: SECTION @ MIDSPAN @ FACE OF SUPPORTS TOP BARS 2-∅20 mm 5-∅20 mm BOTTOM BARS 3-∅20 mm 2-∅20 mm Given: Stirrup diameter, ds = 10 mm Concrete f'c = 21 MPa Steel rebar fy = 415 MPa Stirrup fy = 275 MPa Beam size b x h = 270 mm x 450 mm Assume all bars laid out in single layer. Calculate the following: Tensile steel ratio in positive bending at midspan = __________ (in 5 decimal places) Design Moment strength of section at midspan for positive bending = ___________ kN·m (nearest whole number) Nominal Moment strength of section at face of support for negative bending = ___________ kN·m (nearest whole number)arrow_forward3.) A composite beam is composed of three planks, each 150 mm by 50mm., glued together to form an I section shown. The allowable shear stress in the glue is 0.65 MPa, the allowable shear stress in the wood is 0.83 MPa. The 3 meter beam is simply supported that carries a uniformly distributed load throughout its length and a concentrated load P-10 KN at point 2 meters from the first support as shown w=N/m I R₂ R₁ 1. What is the moment of inertia of the section? 2. What is the maximum uniformly distributed load that can be carried by the beam 3. What is the maximum shearing load V, using the safe unit load, w? 4. What is the maximum flexural stress of the beam? 5. What is the flexural stress of the beam 1 meter from R1?iarrow_forward
- A simply supported rectangular beam has a width of 300mm and an effective depth to the centroid of tension reinforcement of 330mm. The tension reinforcement has an area of 2843mm2 and the area of compression reinforcement placed 70mm from the compression face of the beam is 1231.5mm2, fy = 415MPa, fc’ = 30MPa. Balanced steel ratio is 0.031. The design strength using 0.90 as the reduction factor is ____kN.marrow_forwardCompression steel Given: The beam cross-section shown have the following cross-sectional properties: f'c = 4000 psi Find phi Mn.arrow_forwardCorrect answer only.arrow_forward
- Material Strengths: of=41.4 MPa, fy = 414 MPa Determine the moment capacity (M) of the beam with the following details. There are two layers of reinforcement. Excerpt from the code: Where parallel reinforcement is placed in two or more layers, bars in the upper layers shall be placed directly above those in the bottom layer with clear distance between layers not less than 25 mm. b=300 mm h=500 mm Cc = 40 mm dtie =12 mm dagg = 24 mm As = 8-25 mm diameterarrow_forwardSolve the following: 1. Locate the centroidal x and y of the composite figures. Use the reference axes provided. 2. Compute the Moment of Inertia of the centroidal x and y axes.arrow_forwardSubject: Reinforced concrete Design- Civil Engineering A rectangular beam has a width of 300mm and an effective depth pf 537.50mm to the centroid of tension steel bars. Tension reinforcements consists of 6-28mm bars in two rows, compression reinforcement consists of 2-22mm bars, fc' = 27.6MPa, fy = 414.7MPa, d'=60mm. The maximum total tension steel allowed by specification is mm^2. A. 6400 B. 3800 C. 2700 D. 4200arrow_forward
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