An RCC beam having 200 mm wide and 400 mm effective depth is reinforced with Fe415 grade steel of area 1000 mm² in tension. Assume M20 grade concrete, what is approximate value of the depth of neutral axis for the equilibrium of forces at the limit state of collapse? Two decimal places

An RCC beam having 200 mm wide and 400 mm effective depth is reinforced with Fe415 grade steel of area 1000 mm² in tension. Assume M20 grade concrete, what is approximate value of the depth of neutral axis for the equilibrium of forces at the limit state of collapse? Two decimal places

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: The width and depth of a reinforced rectangular concrete beam is 400 mm and 700 mm, respectively.…

Q: A circular column is made of concrete [E. = %D 4.2(103)ksi] while being reinforced with six steel…

A: Gross area of the column Ag=π4×42=12.566 in2Area of steel Ast=6×π4×0.852=3.404 in2 area of…

Q: Problem 8: A-C fc=4500 psi 2 in Grade 60 #6 bars - # 4 stirrups 1.5 in. clear cover 3/4 in. max.…

A: Given data: f'c=4500psi=31Mpafy=Grade 60=415Mpaeffective depth=d=20in=508mmMaximum depth ofneutral…

Q: CRACK AND UNCRACKED STAGE OF CONCRETE 1. What is noncracked, linear stage? 2. What is cracked,…

A: Consider the simple supported beam depicted below, which is relatively lengthy. Assume that the load…

Q: A 750 mm thick concrete slab is having elastic modulus of 3x105 kg/cm² and Poisson ratio of 0.18. If…

Q: A short plain concrete column with dimensions of 300 mm * 300 mm *900 mm is to be constructed. If…

A: Solution Given Data Dimension=300 mm*300 mm*900 mm Compressive strength = 34.5 MPa FOS= 1.2

Q: An RCC beam having 200 mm wide and 400 mm effective depth is reinforced with Fe415 grade steel of…

Q: Given the following properties f a rectangular concrete beam, b = 300mm, d = 500mm, F'c = 20.7MPa,…

Q: Help

A: Given: steel in tension zone: n = 6 bars dia. = 40 mm Beam section: b = 300 mm h = 585 mm L = 8000 m…

Q: Q2- A cylindrical concrete specimens 150 mm in diam. and 300mm high each were tested in split…

A: Formula for tensile strength using split tensile test fsp=2PπLDL=length of specimenD=diamter of…

Q: A beam having a width of 500 mm and a total depth of 800mm is reinforced with 6-32mm dia bars.…

Q: Assuming the concrete is uncracked, compute the bending stresses in the extreme fibers of the beam…

A: Given

Q: What is the threshold torsion (kN-m) of a rectangular beam with a width of 410 mm and an over-all…

A: Torsion in beams is caused by the action of shear loads whose application sites do not correspond…

Q: 5. Given fc’ = 35 MPa, solve for the modulus of elasticity of concrete a. 27,800.00 MPa b. 27,805.57…

A: Thank you for the question . As per honour code we will answer the first question since exact one…

Q: The maximum applied load on a cylindrical concrete specimen of diameter 150 mm and length 300 mm…

A: Given data- Diameter of the specimen D=150 mmLength L=300 mmLoad P=157 kNTo Find-The split tensile…

Q: Find the magnitude of distributed load w (lb/ft) that would result in flexural cracking of the…

A: In the problem, a (20'' x 10'' ) concrete section is given which is 14' long and subjected to a…

Q: Assuming concrete below the neutral axis to be cracked, the shear stress across the depth of a…

Q: Q3- Three concrete beams were selected for flexural strength test. Results from tests are shown in…

A: NOTE - Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the…

Q: A rectangular beam of size 250 mm x 400 mm is reinforced with 4-20 mm bars of Fe415 grade. Effective…

Q: 2.14 Circle the correct statement(s) from the following: a) "Under-reinforced" beam condition…

A: This question is related to the Design Concrete Structure from Civil Engineering. This is Multiple…

Q: Problem 5: A beam is 250 mm in width, 500 mm in total height and 3.5 meters in length. This beam was…

A: Given data width of beam= 250mm Height = 500mm Length= 3500 mm compressive strength= 32MPa we have…

Q: ve desic Q4) Concrete is required for walls of a building that will be moderately exposed to…

Q: What is the cracking moment of a H=400mm by W=300mm beam if the specified compression strength of…

A: Height of beam = H = 400mm or .4m Width of beam = W = 300mm or .3m The compression strength of the…

Q: CRACK AND UNCRACKED STAGE OF CONCRETE 1. What is noncracked, linear stage? 2. What is cracked,…

A: Consider the simple supported beam depicted below, which is relatively lengthy. Assume that the load…

Q: Awall form 14 ft high is filled with 160 lb per cu ft concrete at a tem perature of 70°F. The…

Q: The properties of the reinforced concrete beam are b = 306 mm, d = 467 mm, Ast = 1007 mm2, and Est /…

Q: FLEXURAL ANALYSIS CONCRETE UNCRACKED Problem: Calculate the uniform load (in addition to the beam…

A: Given, Span of the beam= 28 ft fc'=4000 psi fr=7.5fc'=7.54000=474.34 psi RCC weight=150 lb/ft3

Q: Determine the tensile steel ratio of a singly reinforced concrete beam for the following conditions…

A: Solution-The given values are ,f'c=21MPafy=420MPaTo DetermineThe tensile steel ratio

Q: The concrete grade can be written as C X/Y (e.g C25/30). The parameters X, and Y correspond to which…

A: Elaborating terms in nomination of concrete

Q: A light-weight concrete was cast-in-place to form a rectangular beam. If its unit weight is 16.362…

Q: 1. What component of concrete that has affect its strength largely? Explain. 2. If you have to…

A: Note- Hi! Thank you for the question, As per the honor code, we are allowed to answer three…

Q: Design strength for M25 concrete in direct compression, bending compression and flexural tension…

A: given- M25 concreteDirect compressionbending compression &flexuarl tension needs to find out.

Q: If a concrete column 200 x 200 mm in cross- section is reinforced with four steel bars of 1200 mm²…

A: given area A=200×200 mm21200 mm2 cross sectional areastress in concrete=5 N/mm2Es=15Ec

Q: 1. Which of the following is the compressive strength of concrete if β1=0.65. a) 60 MPa

A: compressive strength of concrete= 21Mpa

Q: 1.) Given the following properties of a rectangular concrete beam: b = 280mm, d = 480 mm, f'c = 21…

Q: eter of the sample is 6”. a 31.1 MPa b 30.1 MPa

A: Average strengthC=55100+54800+552003=55033.3kgStrength in 'N'=55033.3kg×10=550kNso,

Q: A simply supported rectangular beam with dimension of h=550 mm and b: 250 mm is subjected to bending…

A: Solution:

Q: a. The flexure strength of the concrete if center-point was applied. b. The flexure strength of the…

A: A)The flexure strength of the concrete if center-point was applied. Given data, b=0.15 m d=0.15 m…

Concept explainers

Crack Detection

Concrete materials are meant for supporting structures, building foundations and they act as several load-bearing structures. Over time, due to environmental conditions, and based on the constituent materials used, concrete materials are subjected to a great degree of distress. Corrosion of the reinforcement bars due to chemical influences, uneven base, earthquake, drying shrinkages, and alkali-aggregate reactions are some of the reasons for concrete distress.

Question

An RCC beam having 200 mm wide and
400 mm effective depth is reinforced with
Fe415 grade steel of area 1000 mm² in
tension. Assume M20 grade concrete, what
is approximate value of the depth of neutral
axis for the equilibrium of forces at the limit
state of collapse?
Two decimal places

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Given data

VIEW

Step 2: Calculating neutral axis depth

VIEW

Solution

VIEW

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

A reinforced concrete tie has a square cross section of 8 in. × 8 in. and is reinforced with 8 # 5 steel reinforcing bars Grade 60. If the concrete has a 28-day compressive strength of 4000 psi , calculate the cracking and factored tensile forces that can be supported by the tie.
quest9
4. Please discuss the Poisson's ratio of concrete in terms of compressive strength. Is there an equation to connect the two quantities? If yes, What are the physical bases of the equation?
Using the same concrete dimensions as were used for the second solution of Example 3.6 (b = 10 in., d = 17.5 in., and h = 20 in.) and the same material strengths, find the steel area required to resist a moment M, of 1300 in-kips. %3D
A 150mm x 150mm concrete specimen was tested for flexure strength over a span of 600mm. The load at midspan causes a flexure strength of 41.4 MPa. What was the maximum applied load in kN?
Principles of Reinforced Pre-stressed Concrete
Q.4 The compressive strength of a (15×15×15) cm cube is 20 MPa at 7-day, determine the flexural strength of this RHPC concrete at the age of 3-day, and the failure load in (kg) for (two-point) loaded.
Problem 2.7 A reinforced concrete beam has the following data. Beam width, b= 300 mm Effective depth, d= 600 mm Compression steel cover, d'= 60 mm Concrete strength, fc=27.5 MPa Steel Strength, fy= 415 MPa a) Find the flexural strength of a singly-reinforced section if the extreme tension steel reached a strain of 0.005. b) Find the mumber of pieces of 28 mm diameter flexural steel for a singly-reinforced section if the extreme tension steel reached a strain of 0.005. c) Find the mumber of 28 mm diameter tension reinforcements if the section is to resist a factored design load of 660 kN-m d) If 2-28 mm diameter bars are added as compression steel, detemine the maximm mumber of pieces required for the tension reinforcements. Assume the compression steel yielded and ignore displaced concrete.
Given A rectangular beam 250 mm wide and effective depth 500 mm has 4 bars of 22 mm diameter. Find the position of the neutral axis, the lever arm, the forces of compression and tension and the actual moment of resistance, if concrete is M20 mix and steel is Fe 415 grade. As per IS 456-2000, to what value it is to be limited?
Please fast
SIT. D: A simply supported beam 250 mm wide, 500 mm deep and spans 6 m supports a service super imposed dead load of 10 kN/m and service live load of 6 kN/m. Concrete strength f' = 21 MPa and steel yield strength fy = 415 MPa. Concrete Icover to bar centroid is 70 mm. Determine the total factored load for ultimate strength design in kN/m. C. 23.45 10. 11. 12. A. 19.52 B. 25.20 D. 21.06 Determine the maximum ultimate moment in kN-m the beam must resist using load combination of NSCP 2015. A. 108.90 B. 131.58 C. 97.20 D. 113.40 Determine the required tensile steel ratio at ultimate stage. C. 0.007245 D. 0.009821 A. 0.007167 B. 0.013710
Subject: Pre-stressed Concrete Design (Civil Engineering) Note: NSCP (2015)