Problem 1A rectangular beam is simply supported on two walls, 240 mm thick and 6 m apart (center to center).The beam carries, in addition, to its own weight, a distributed live load of 15 kN/m and a dead load of16 kN/m. Design the beam section for the maximum moment.Data:The compression capacity of the concrete is fr = 30 MPa.The yielding stress of steel is fy = 400 MPa.The concrete is of density 2500 kg/m .Problem 2

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Answered: Problem 1 A rectangular beam is simply…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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The properties of the reinforced concrete T-beam are bi = 30 in., hi = 4 in., b2 = 12 in., h = 18 in., Ast = 4.5 in?, and n=8. Using elastic analysis, find the maximum stress in the concrete produced by an 80-kip-ft bending moment. h1 h2 A« (total area) 10,606.391 psi O 343.813 psi O 543.318 psi 687.954 psi
A rectangular reinforced concrete beam is subjected to a service moment of 120 KN.m. the beam is reiforced with 4-25 mm diameter bars with modular ratio n=8. 1.) compute the Moment of Inertia of the beam. 2.) Compute the maximum stress of concrete in Mpa. 3.) Compute the Maximum Stress of Steel in Mpa. 200 500 550 4-25mm dia
3.) A reinforced concrete beam 300 mm width has an effective depth of 450 mm. it is reinforced with 6-32mmØ at the tension side and 2-28 mmØ at the compression side located at 65 mm from the top. f= 34.5 MPa and fy 345 MPa. Assume all steel yield and the contribution of compression steel may not be neglected. (NSCP 2001) a. Find the balanced steel ratio in percent? = b. Find the depth of compression stress block. c. Find the nominal moment capacity of the beam.
In all Questions use the Working Stress Method and the flowing material 25 MPa and f, = 420 MPa. properties f = If the stress in the top fiber of the concrete is f = 12.5MPa and in the steel is 400 MPa. Ec 25000 MPa, Es 200000 MPa. Determine the following: 1-Maximum strain in concrete 2- Maximum strain in steel and 3- Flexural strength of the section (the moment M) P 500 mm 300 mm
Column AB is made from high strength pre-cast concrete and reinforced with four in. diameter A-36 steel rods. The allowable normal stress for the high strength concrete and the steel are (allow)con = 2.4 ksi and (allow)st = 24 ksi, respectively. The modulus of elasticity for high strength concrete is 4.2 × 10³ ksi and for A-36 steel is 29 x 10³ ksi. (Figure 1) Figure 10 ft 9 in. H 9 in. Section a-a Part A Determine the magnitude of the maximum allowable floor loading P. Express your answer to three significant figures and include the appropriate units. Pmax = Submit 04 μA Provide Feedback Value Request Answer Units ?
Use f'c = 30 MPa and fy = 415 MPa. The unit weight of concrete is 24 kN/m³ . The floor of a cantilever floor system is made up of a 150mm thick concrete slab (cast monolithically with beam) and the beams have widths of 300 mm, a total depth of 560 mm, and are to be reinforced with 5-Ø28 mm bars. The center-to-center spacing of beams is 4 m. The cantilever floor system is also built using 4m cantilever reinforced beams as supports. a) Find the maximum service live load (kPa) that the current floor design can support. b) Suppose that the floor will need to carry a superimposed service dead load of 2 kPa and service live load of 7.2 kPa, will the existing floor design be adequate? If not, redesign the beams (find the appropriate number of Ø28-mm rebars and provide a final sketch). Use cc = 40 mm, stirrup diameter of 10 mm, and nominal maximum aggregate size of 20 mm.
Determine the maximum concrete and steel stresses at the point of maximum positive and negative moments. Reinforced Concrete Design
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Problem 4.35 A Part A Column AB is made from high strength pre-cast concrete and reinforced with four in. diameter A-36 steel rods. The allowable normal stress for the high strength concrete and the steel are (allow) con = 1.8 ksi and (allow) st = 24 ksi, respectively. The modulus of elasticity for high strength concrete is 4.2 × 103 ksi and for A-36 steel is 29 × 103 ksi. (Figure 1) Determine the magnitude of the maximum allowable floor loading P. Express your answer to three significant figures and include the appropriate units. ΜΑ Pmax = 132 kip ? Figure 10 ft B a < 1 of 1 Submit Previous Answers Request Answer X Incorrect; Try Again; 4 attempts remaining Provide Feedback 9 in. 9 in. Section a-a
A reinforced concrete beam having a width of 350mm and a overall depth of 600 mm is reinforced with 3-25mm compression bars & 8-25mm tension bars. Concrete covering is 60 mm from the centroid of the bar group. Unit weight of concrete is 23.60 Kn/M3. Concrete Strength, fc’ = 21 MPa, Steel Strength, fy = 415 MPa. Other than the weight of the beam, the beam will support a uniform live load. A. Determine the balanced tension steel area. B. Determine the Ultimate Moment Capacity of the beam. C. Determine the maximum uniform service Live Load that the beam can carry 6.0m and 2.0m
A reinforced concrete beam 300 mm width has an effective depth of 450 mm. It is reinforced with 6 –32 mm Ф at the tension side and 2 – 28 mm Ф at the compression side located at 65 mm from the top. Fy = 345 MPa, fc’ = 34.5 MPa. Assume all steel yields and the contribution of compression steel may not be neglected.1. Which of the following gives the balance steel ratio? a. 3.8%b. 5.3%c. 4.5%d. 8.4%2. Which of the following gives the depth of compression stress block? a. 163 mmb. 123 mmc. 134 mmd. 145 mm3. Which of the following gives the nominal moment capacity of the beam? a. 734.5 kN – mb. 324.6 kN - mc. 631.2 kN – md. 543.4 kN - m
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