The 200 mm thick reinforced concrete slab shown below is loaded with a total servicedead load of 11.2 kN/m² and a service live load of 6.0 kN/m². If the slab is reinforced with012 mm bars and if all beams are 300×600 mm and all columns are 300×300 mm, then:(a) Check the slab thickness for deflection requirements.(b) Check the slab thickness for flexural requirements(c) Calculate the design moment at mid-spans section.T4.5 m4.5 m5.0 m 5.0 m 5.0 5.0 m

To check the slab thickness for deflection and flexural requirements and calculate the design moment…

Answered: The 200 mm thick reinforced concrete…

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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TITLE: ANALYSIS OF Reinforced Concrete Beams (SERVICEABILITY REQUIREMENTS). PROBLEM: Check the serviceability requirements in terms of deflections. Assume concrete weighs 23.5 KN/m³, fy = 414 MPa, and f'c = 28 MPa. PLI = 133 kN PLI = 89 kN WDL = 29 KN/m + Selfweight of beam 1.2 m 1.2 m 2.4 m 78 тm 4 - #32 800 тm 722 тm 400 тm COMPUTATION: Required: 1. Check serviceability requirement using 480 (span length) as the allowable. a. Short term deflection b. Long term deflection assuming 50 % of liveload is continuously applied for 4 years.
A rectangular beam has a width of 380 mm, effective depth of 445 mm, and overall depth of 510 mm and is reinforced with four No.29 tension bars. The concrete modulus of rupture fr = 3.65 MPa. The elastic modulus of the concrete and steel are, respectively, Ec =27,800 MPa and Es= 200,000 MPa. Determine if the beam will show hairline cracks due to a bending moment M = 108 kN-m and compute the relevant stresses. Provide material properties for concrete and reinforcing steel used in your design.
Compute the bending stress of the beam shown. Assume that the concrete has cracked and use the transformed area method.
A reinforced concrete beam has a width of 400 mmand a total depth of 550 mm. The longitudinal bars at the top are 2– 28 mm and 4 – 32 mm at the bottom. Concrete strength is f’c =24 MPa and steel yield strength fy = 300 MPa. Steel cover is 70mm and modular ratio is 9.What is the transformed moment of inertia?What is the moment capacity?What is the safest uniformly distributed load that the beam cancarry if the length of the simply supported beam is 8 m.
Lecture Five Reinforced Concrete Example_2: A cantilever beam as shown below has a rectangular cross section of b=200mm, d=390mm, span=2.4m with 3 bars of 22mm diameter, carries a uniform dead load including it s own weight of 12 kN/m and L.L of 10.5 kN/m. Check the adequacy of the section, using f of 28 MPa and fy of 280 MPa 70 Wd+ WL 390 Sol: 2.4 m 200
A cast iron tube 3m long is completely filled with concrete and used as a vertical strut. if the external diameter of the tube is 450mm and the wall is 35mm thick, determine the maximum compressive load the composite strut can support if the stress in the concrete is not exceed 2N/mm2. By how much should the strut shorten under this load. For cat iron EA= 100GN/m? and for concrete Eb = 10GN/m?. %3D
1. A rectangular concrete beam has a width of 400 mm and an effective depth of 700 mm. It is reinforced with five 28-mm diameter bars for tension only. Concrete strength is f'c = 21 MPa and steel yield strength fy= 275 MPa. Calculate the ultimate capacity of the beam, mode of failure, and the beam condition (under-reinforced, over-reinforced or balanced condition).
Help me how to design the REINFORCED CONCRETE BEAMS WITH IRREGULAR CROSS SECTION as shown infigure 1 using the following parameters:F’c = 3,500 Psi Fy=Grade 40 Stirrups = Φ10mmMu = 200 Kn-M All Concrete cover = 30mm Es=200,000 Mpa Find the following: AC area of compression concrete stress block in mm. Assume z = 0.85dEff a height of compression concrete stress block in mm. c distance from the neutral axis to outermost compression fiber in mm. z actual moment arm for Mu=ØTz in mm. As actual area of tension steel in sq.mm. N quantity of Ø20mm steel rebars ЄS Actual Strain of steel ЄY Yield Strain of steel Check if the beam is singly reinforced concrete in the designed then concludeCheck: ЄY < = > ЄS Draw the Working Drawings of the x-section.
A rectangular beam section is limited to a size of b = 250 mm and h = 450 mm. Assume that bars in compression will be placed at 60 mm from the compression fiber and bars in tension 60 mm from the tension fiber. Given that f’c = 21 MPa and fy = 420 MPa: Calculate the amount of tension rebars that will have a minimum tensile strain of 0.005 compatible with concrete strain of 0.003. If the beam section will be reinforced with tension rebars at a minimum tensile strain of 0.005, calculate the required depth in mm of uniform stress block on concrete in compression. With this amount of tension rebars, calculate the design strength of the beam section in kN.m. For the beam to sustain a factored moment of 160 kN.m, what will be the required amount of tension steel area in mm2 in addition to the tension rebars described in item #1. Considering a doubly reinforced section with tension rebars at a tensile strain of 0.005, calculate the resulting compression stress in MPa on rebars to be…
SITUATION A: A T beam has a property shown below. fy = 420 MPa, f'c = 35 MPa %3D %3D and Es =200,000 MPa effective width = 1200 mm 100 тm 550 mm 450 mm (3060 mm²) 300 тm 2. What is the distance of the neutral axis from the extreme compression concrete in mm?
2. A uniform concrete slab is to be attached to two rods whose lowers ends are initially at the same level. What is the required area, in mm?, of aluminum rod so that slab will remain level after it is attached to the rods? Wi4 m Aluminum E = 72 GPa Steel A= 8V mm 2 E = 200 GPa WI4 m -Y/40 m- Y/200 m
A rectangular concrete beam has a width of 400 mm and an effective depth of 700 mm. It is reinforced with five 28-mm diameter bars for tension only. Concrete strength is f's = 21 MPa and steel yield strength is fy = 275 MPa. Which of the following most nearly gives the distance of the neutral axis from the extreme compression concrete? A. 139.51 mm B. 151.93 mm C. 118.58 mm D. 188.15 mm

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