LA reinforced concrete beam has a width of 300 mm, an effective depth of 500 mm and is reinforced with a steel having an area of 1200 mm^2. The beam is subjected to a bending moment of 80 kN-m. If the modular ratio = 8, using WSD, Cracked Analysis. a) Determine the stress developed in the concrete.

LA reinforced concrete beam has a width of 300 mm, an effective depth of 500 mm and is reinforced with a steel having an area of 1200 mm^2. The beam is subjected to a bending moment of 80 kN-m. If the modular ratio = 8, using WSD, Cracked Analysis. a) Determine the stress developed in the concrete.

Traffic and Highway Engineering

5th Edition

ISBN:9781305156241

Author:Garber, Nicholas J.

Publisher:Garber, Nicholas J.

Chapter20: Design Of Rigid Pavements

Section: Chapter Questions

Problem 12P

See similar textbooks

Related questions

Q: A rectangular footing (4.31 x 4.07 m.) is placed 1.2 m. below the ground surface. The soil arrangeme...

Q: A falling head permeability test was run on a soil sample 12.5 cm. in diameter and 11.7 cm. long. Th...

Q: What is that symbol and why it has 36?

Q: A. A materials engineer conduct a Moisture Content Test. Here is the result Oven dry Sample (2DD + M...

Q: Solve the angle of twist on a solid shaft, 2in in diameter and 1ft in length, if the torque applied ...

Q: The maximum blood pressure in the upper arm of a healthy person is about 120 mm Hg. If a vertical tu...

Q: The deflection angles from PC to two intermediate points A and B on a simple curve are 3° and 9.3°, ...

Q: Question 13 Given below is the result of a sieve analysis done on a soil sample. Sieve No. Diameter ...

Q: 8. The long chord from the PC to PT of a compound curve is 300 meters long and the angles it makes w...

Q: The dry density of a soil is 1,774.86 kg/m3. GIven that Gs = 2.65, what would be the moisture conten...

Q: The mean flow speed at a portion of the highway is 62.8 mph and a jam density of 110 vehicle/mile. ...

Q: Problem 3: Three steel bolts are to be used to attach the steel plate shown to a wooden beam. The pl...

A: To find the increase in diameter-

Q: container weighing 0.3 kg with a base circumference of 0.18π ft. and a height of 1.4 ft. If the Tota...

A: Given data - For 0.3 kg weight in a container Base circumference = 0.18π ft Height = 1.4 ft Base c...

Q: 3. (Problem 3.35 from the text book) The electric motor exerts a 500-N · m torque on the aluminum sh...

Q: A block of wood 0.2 m thick is floating in sea water. The specific gravity of wood is 0.65 while tha...

A: Given data Thickness of the wood block = 0.2 m Specific gravity of block (GB) = 0.65 Specific gra...

Q: The results of two consolidated-drained test triaxial tests on a clay are given below: Specimen No. ...

A: Hello dear Please see the attached solution, thanks

Q: a. Determine the hydrostatic force acting on the gate. b. At what distance from the centroid of the...

Q: A trapezoidal weir has its non-parallel sides inclined at 4V:1H. It has a base of 4.64 m. And a head...

Q: The rigid, homogeneous slab weighing 600 kN is supported by three rods of identical material and cro...

Q: What is the Maximum moment in kN-mn. Given: w1 = 44, w2 = 14, a = 4, b = 4, and c 4. %3D w1 kN/m w2 ...

A: Find maximum moment,Mmax=?

Q: Question 27 1 points Save Ansv For a given soil, the following are given: Gs = 2.63; moist unit weig...

Q: A soil profile consists of sand (5-m thick) which overlies a layer of clay (4-m thick). Ground water...

Q: What is the location of the Maximum moment from A in meters. Given: w = 12, a 2, b = 5, and c 2. w k...

Q: A 300 mm diameter pipe discharges water at the rate of 200 li/s. Point 1 on the pipe has a pressure ...

Q: Determine the magnitude of the horizontal component of the force per meter length(kN/m) acting on th...

A: We have to determine the value of magnitude of the horizontal components of the force per meter leng...

Q: Question 40 The given data shows a sieve analysis of a soil sample. Classify the soil using AASHTO M...

Q: Consider a cylindrical nickel wire 2.0 mm in diameter and 3.2 × 104 mm long. Calculate its elongatio...

Q: A 3-meter clay layer (e = 0.81, Gs = 2.86, Cc = 0.329) is overlain with 3-meter-thick sand layer (e ...

A: Ho=3m Cc=0.329

Q: A reinforced concrete beam is designed to reach fc = 12 MPa, and fs = 140 MPa simultaneously. If n =...

A: Given data is: fc= 12 MPa fs= 140 Mpa Modular ratio n = 8 Effective depth d = 450 mm .

Q: Determine forces and moment in each member of the frame by performing Cantilever Method. E 80 kN 8 m...

Q: is hinged as

A: h = 3m W= 2m theta = 60° we need to find the force RT to hold the gate in position

Q: 1-2022 What is the minimum diameter of a steel shaft which will be used to operate a 14 KN-m torque ...

Q: The 8 mm gap between two large vertical parallel plane surfaces is filled with a liquid of viscosity...

Q: From the figure below, it is shown that the gate is 1.0 m wide and is hinge at the bottom of the gat...

Q: 11. In reinforced beam having a width of 300 mm and an effective depth of 600 mm, carries a moment o...

Q: The footing supports the load transmitted by the two columns. The reaction of soil pressure on the f...

Q: Determine the vertex angle (in deg.) of a V-notch weir for a discharge of 29,762 L/s and a head of 4...

Q: An engineer calculated the PW values for four alternatives to develop a remotely controlled vibratio...

Q: Refer to the soil profile shown. Given H1 = 9.89 m., and H2 = 4.4 m. If the ground water table rises...

Q: A designer wants a comparison of Class B and Class C Concrete Mixture for the proposed rectangular p...

Q: 41 The data from a falling head test is shown. Diameter of standpipe: 4 cm. Initial Head: 92.9 cm...

A: Determine the final head (in cm.) of the permeability test.

Q: 6 A! 8 10 Pos 10 A 7 WIL a 3 5 a a ) Applied loads (ii) Free body diagram

Q: As shown, three steel wires, each 27 mm2 in area, are used to lift a mass M. Their unstretched lengt...

Q: If a force P= 5 Newton causes the 60- mm diameter shaft to slide along the lubricated bearing with a...

Q: 40KN 15KN/m B D 4 m 3 m 2 m

Q: Question 1(b) If everything else about the frame in Figure Q1(a) remains the same except for the way...

Q: A simply supported one way reinforced concrete slab has a thickness of 175 mm. It is reinforced with...

Q: A steel beam is bolted to a steel girder by a connection similar to that in the figure shown below. ...

Q: A rectangular block is 137 mm long in the X direction, 93 mm wide in the Y direction, and 56 mm thic...

A: Strain will be equal in 1st and 2nd case as length is same. Comparing deformation and strain will re...

Q: The members of the truss are 25mmx50mm in cross section. Determine the maximum load P that can be ap...

Concept explainers

Properties of materials

A property of a material describes its characteristics and distinguishes it from the others. The material properties are described it in terms of its hardness, color, appearances, and so on. The material properties generally depend on the type of material, or whether it is a metal or an alloy. There are different kinds of material properties such as mechanical properties, thermal properties, physical properties, and chemical properties. Chemical properties describe the material in terms of a chemical change. The mechanical properties come into existence when the material is acted upon by an external load. Thermal properties are associated with the temperature of the material and specific heat.

Question

LA reinforced concrete beam has a width of 300 mm,
an effective depth of 500 mm and is reinforced with a
steel having an area of 1200 mm^2. The beam is
subjected to a bending moment of 80 kN-m. If the
modular ratio = 8, using WSD, Cracked Analysis.
a) Determine the stress developed in the concrete.

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

VIEW

Step 2

VIEW

Step by step

Solved in 2 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

Estimate the transverse tensile strength of the concrete in Problem 12.6.
A pre-tensioned concrete member of section 200 mm x 250 mm contains tendons of area 500 mm2 at centre of gravity of the section. The pre-stress in the tendons is 1000 N/mm2.- Assuming modular ratio as 10, the stress (N/mm2) in concrete is
The following data of a pre-stress concrete are given: Beam dimension ; bxh = 300 mm x 600 mm Loads Super imposed dead load 7 KN/m Live load = 20 KN/m Unit Weight of concrete 23 KN/cubic meter The beam is simply supported on a span of 15 meters and are pre tensioned with total initialpre tensioned with total initial force of 1750 KN from low-relaxation strand with centroid 220 mm below neutral axis throughout the beam length .There is a 15% loss of stress at service loads. The concrete covering of the pre-stressed concrete is _____mm., the total dead load is _____ KN/m.
A pre stressed concrete beam has a width of 200 mm and an overall depth of 400 mm. The permissible stresses in tension and compression due to pre- stressing alone are 4 N/mm and 25 N/mm respectively. Find the required pre- stressing force in the tendon and the eccentricity of the tendon, if a straight tendon with a constant eccentricity is to be provided in the beam. No external load or self weight effect is to be considered.
A rectangular concrete beam section, 300 mm wide by 600 mm deep, is reinforced with 4-32 mm diameter bars in the tension zone located 65 mm from the extreme tension fiber. It is also reinforced with 2-20 mm diameter bars in the compression zone also located at the same distance from the extreme compression fiber. Concrete strength F'c = 35 MPa. The yield strength of steel is 415 MPa and, the allowable stress of steel is 170 MPa. Determine the cracking moment, the elastic bending strength, and the nominal bending strength. Answer: Mcr = 88.56kN-m, Mn = 630.30KN-m
2. Tensile strength of concrete is about: (20-35)% of compressive strength (45-70)% of compressive strength None of the above. Tension controlled section Balanced section Compression-controlled section 4- The reduction factor (0) is equal to 0.9 if the: Es 2 Ety + 0.003 Es S Ety + 0.003 Es Ety 5- The design method which use the factored loads is - Working stress method - Ultimate design Method - None of above 6- If p< Po therefore the section is - Under reinforced - Over reinforced - None of above
The concrete in the core of a spiral column is sub- jected to a uniform confining stress o, of 680 psi. What will the compressive strength o be? The un- confined uniaxial compressive strength is 5000 psi.
A rectangular reinforced concrete beam has a width of 350 mm and an effective depth of 650 mm. The beam is reinforced with 8-28 mm diameter tension bars. Concrete strength is f'c = 20.70 MPa and steel yield strength is fy = 275 MPa. 1. Which of the following most nearly gives the steel ratio? A. 3.73% B. 2.79% C. 2.17% D. 1.62% the rectangular
The flexural strength (fr) of concrete measured from the bending test is always higherthan the direct tensile strength (ft). In reality, the stress in the cracked part of theconcrete is lower than ft. Also, failure may occur on the compressive side. Assuming1) there is no tension softening in the cracked zone, i.e., tensile stress stays at ft; and 2)infinitely large compressive strength, draw the stress distribution over the depth of thebeam at ultimate failure when the curvature of the section is approaching infinity. Withthis stress distribution, show that the upper bound of fr/ft is equal to 3. (Hint: On rotating the section, because the compressive stress can increase well beyondft, the neutral axis will continue to shift towards to the compression side.)
2. Based on stress-stain relationship of concrete for nonlinear structural analysis, please provide the values of stress for the concrete with fek-40 MPa at the strain of 1.0%, 2.0% and 3.5%.
PART B 2. (a) What is the criterion of failure of reinforced concrete flexural elements? What distribution of compressive stress is normally assumed across the compression zone of a reinforced concrete beam, and how does this compare to the actual stress distribution? (b) Obtain the ultimate moment of resistance of the beam section indicated in Figure 2, if the grade of the concrete used in the section is 35N/mm?, and the yield stress of the steel is 500N/m2 s) 750 6T20 350 ST25 6T25 200 Figure 2
a concrete column base is circular, with a diameter of 8 in, and carries a direct compressive load of 70000 lb. compute the compressive stress in the concrete