The lintel of prestressed reinforced concrete in the figure below is 1.50 m long. The concrete encloses one steel reinforcing rod with cross-sectional area 1.20 cm2. The rod joins two strong end plates. The cross-sectional area of the concrete perpendicular to the rod is 47.5 cm2. Young's modulus for the concrete is 3.00 × 1010 N/m². After the concrete cures and the original tension T, in the rod is released, the concrete is to be under compressive stress 9.30 × 106 N/m2. k1.50 m (a) By what distance will the rod compress the concrete when the original tension in the rod is released? 38.7 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. mm (b) What is the new tension T, in the rod? kN (c) The rod will then be how much longer than its unstressed length? mm (d) When the concrete was poured, the rod should have been stretched by what extension distance from its unstressed length?

The lintel of prestressed reinforced concrete in the figure below is 1.50 m long. The concrete encloses one steel reinforcing rod with cross-sectional area 1.20 cm2. The rod joins two strong end plates. The cross-sectional area of the concrete perpendicular to the rod is 47.5 cm2. Young's modulus for the concrete is 3.00 × 1010 N/m². After the concrete cures and the original tension T, in the rod is released, the concrete is to be under compressive stress 9.30 × 106 N/m2. k1.50 m (a) By what distance will the rod compress the concrete when the original tension in the rod is released? 38.7 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. mm (b) What is the new tension T, in the rod? kN (c) The rod will then be how much longer than its unstressed length? mm (d) When the concrete was poured, the rod should have been stretched by what extension distance from its unstressed length?

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 properties of the reinforced concrete beam are b = 300 mm, d = 480 mm, Ast = 1306 mm2, and Est /…

A: Given data: b=300 mmd=480 mmAst=1306 mm2m=10σc=16.7 MPaσs=104.8 MPa Assuming cover as 20 mm D=500 mm…

Q: A rigid steel plate is supported by three posts of high-strength concrete each having an effective…

Q: Strain profiles of a flexural reinforced concrete element section at yield and failure conditions…

Q: Problem No. 2: The cross-section of the 8-m long simply supported beam is shown below. If the…

A: The given values and diagram is shown below, Beam length=8m longf'c=21MPafy=414MPaUnit weight…

Q: Calculate the breaking stress (

A: Given: Side of concrete cube, a=15 cm = 150 mm Load at time of breaking, P kN = 1000*P N To find :…

Q: A composite beam is constructed using a steel plate (15 mm x 170 mm) with two wood beams (75 mm x…

Q: s of the reinforced concrete T-beam ,hi = 4 in., b2 = 12 in., h2 = 18 in., and n = 8. Using elastic…

A: Calculate the centroidal distance of the reinforced T-beam using the equation of first moment of the…

Q: Concrete compressive strength fe = 40 MPa Concrete tensile strength f = 4 MPa

A: First we wil compute the moment of inertia of the section hence the moment of inertia is I =…

Q: The cross section of a beam constructed using Grade 50 concrete (Ec = 34800 MPa) is 300 mm x 500 mm…

Q: A 70 mm diameter compound bar is constructed by shrinking a circular brass bush onto the outside of…

Q: 50 mm 50 mn 50 mm 50 mm 150'mm 50 mm 150 mm In the figure shown above the boards are glued together…

Q: The reinforced concrete beam shown is subjected to a positive bend-ing moment of 175 kN·m. Knowing…

A: Following is the given figure: Compute the modular ratio as follows: Substituting the values…

Q: The properties of the reinforced concrete beam are b = 309 mm, d = 476 mm, Ast = 1376 mm2, and Est /…

Q: -6 The concrete post (Ec = 30 GPa and a =10x10°c) is reinforced with six steel bars, each of 10 mm…

Q: mm- the Beam must carry a Service Calculate the Flexural Stress in the concrete using…

A: GIVEM m= 8 and area od concrete =total area - area of steel

Q: The cross-sectional areas of a column are shown in the figure . Find the maximum allowable value of…

Q: The properties of the reinforced concrete beam are b = 303 mm, d = 466 mm, Ast = 1138 mm2, and Est /…

A: Bending Moment is 55.53 x 103Nm or 55.53 KN-M.

Q: 4N20 450 mm 390 mm 300 mm

Q: A concrete beam of rectangular cross-section of 200 mm x 400 mm is pre-stressed with a force 400 kN…

Q: 50 mm 20 mr 75 kN

Q: 1.A. What is the total area of the section * O 70,000 sq. mm O 50,000 sq. mm 60,000 sq. mm O other:

A: A cross section of I-beam is given. We need to find out the Total area of the section.

Q: determine the largest bending moment (in Nm) that may be applied safely

Q: A reinforced concrete beam has a width of 300 mm and an effective depth of 450 mm. The beam is…

A: Given: Required : Balanced steel ratio Depth of compression stress block Nominal moment capacity

Q: reinforced concrete beam

A: Given: The cross sections of the beam = 308 mm x 486 mm Width of the beam, b = 308 mm Depth of the…

Q: A rectangular concrete beam of width 120 mm and depth 200 mm is prestressed by pre-tensioning to a…

Q: 2. (a). Determine the cracking moment for the beam section shown. Use fc = 21 MPa. (b). What is the…

A: Hi! Thank you for the question As per the honor code, We’ll answer the first question since the…

Q: In a given reinforced concrete beam, b=300mm, d= 600mm and n=9. If a maximum stress of 5MPA is…

A: Given: Assume m=13.33

Q: A reinforced concrete beam has a width of 300 mm and an effective depth of 450 mm. The beam is…

A: Given: Required : Balanced steel ratio Depth of compression stress block Nominal moment capacity

Q: The properties of the reinforced concrete beam are b = 310 mm, d = 467 mm, Ast = 1173 mm2, and Est /…

A: Bending Moment is 57.20 x 103 Nm or 57.2 KN-M.

Q: 1.B. Compute for the total Ig of the section O 100,000,333 mm^4 O 108,333,333.33 mm^4 133,333,333.33…

A: Rotational inertia, the rotational counterpart of mass for linear motion, is known as the moment of…

Q: A pre-tensioned rectangular concrete beam 200 mm wide and 350 mm depth is prestressed with three…

Q: Concrete column is reinforced axially with eight steel bars as shown in fig. Each bar has a diameter…

A: Given that, P=33 kNES=180 GPaEC=12 GPaAS=Area of steel=8×(π4×252)=3927 mm2AC=Area of…

Q: A composite beam is constructed using a steel plate (14 mm x 125 mm) with two wood beams (75 mm x…

Q: A concrete beam of rectangular cross-section of 200 mm × 400 mm is prestressed with a force of 400…

A: Given a concrete beam with rectangular cross sectional area. The eccentric prestressing force can be…

Q: A round concrete column has a diameter D.A force of 800 kN act on the column as shown. The yield…

A: Diameter = 50.46 mm

Q: The properties of the reinforced concrete beam are b = 304 mm, d = 475 mm, Ast = 1035 mm2, and Est /…

Q: mpressive stresses in the wood and steel if Ew = 11 GPa and E, MPa MPa

Q: -concrete rod with a cross-sectional area of andidate concretes are: (a) a=lmm, p=porosity=10%…

A: According to given data A concrete rod with a cross-sectional area of 10 cm2 is loaded in tension.…

Concept explainers

System of Forces

A force is an external influence or agent that changes the state of a system. According to Newton's second law, the force applied to a body is proportional to the change in momentum of a body. Hence, whenever a force is applied to a body, its momentum changes. If the body is at rest, under the action of force, its state of rest changes to motion. In other words, the magnitude of the momentum of the body changes from zero to a measurable value. Similarly, if the body possesses some initial velocity, it has some associated momentum, the effect of force can cause the body to halt or come to rest, that is, the momentum reduces to zero.

Question

The lintel of prestressed reinforced concrete illustrated is 1.50 m long. It contains one steel reinforcing rod with a cross-sectional area of 1.20 cm². The rod connects two strong end plates. The cross-sectional area of the concrete perpendicular to the rod is 47.5 cm². Young's modulus for the concrete is 3.00 × 10¹⁰ N/m². After the concrete cures, and the original tension \( T_1 \) in the rod is released, the concrete is intended to be under a compressive stress of 9.30 × 10⁶ N/m².

**Questions:**

(a) By what distance will the rod compress the concrete when the original tension in the rod is released?
- Incorrect input: 38.7 mm
- Note: Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully.

(b) What is the new tension \( T_2 \) in the rod?
- Input box provided for answer in kN

(c) The rod will then be how much longer than its unstressed length?
- Input box provided for answer in mm

(d) When the concrete was poured, the rod should have been stretched by what extension distance from its unstressed length?
- Input box provided for answer in mm

(e) Find the required original tension \( T_1 \) in the rod.
- Input box provided for answer in kN

**Diagram:**
The diagram shows a side view of the concrete lintel with labeled dimensions and a visual representation of the steel rod enclosed within the concrete structure.

**Need Help?**
A "Need Help?" section is available with a button labeled "Read It" for additional assistance.

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Data

VIEW

Step 2: Compressed length

VIEW

Step 3: T2

VIEW

Step 4: Increase in length of rod

VIEW

Step 5: Required extension

VIEW

Step 6: Required original tension

VIEW

Step 7: ANSWER

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 7 steps

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

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
The properties of the reinforced concrete beam are b = 306 mm, d = 467 mm, Ast = 1007 mm2, and Est / Eco = 10. If the working stresses are 19.1 MPa for concrete and 102.2 MPa for steel, determine the largest bending moment (in Nm) that may be applied safely. Round off the final answer to three decimal places. ... ΝΑ Ast (total area)
I need the answer to the question in reinforced concrete
The properties of the reinforced concrete beam are b = 315 mm, d = 460 mm, Ast = 1102 mm2, and Est / Eco = 9. If the working stresses are 16.9 MPa for concrete and 117.2 MPa for steel, determine the corresponding bending moment (in Nm) for the steel. Round off the final answer to two decimal places.
In a pre-stressed concrete beam section shown in the figure, the net loss is 10% and the final pre- stressing force applied at X is 750 kN. The initial fiber stresses (in N/mm2) at the bottom of the beam were: d₁ d₁ b X મ ય ય ના તા b = 250mm d, = 200mm d₂ = 100mm Id₂
A concrete column reinforced with steel rods has a square section of 250 mm by 250 mm and can support a load of 700 KN. Calculate the minimum number of steel rods if each will have a diameter of 6 mm which will be needed if the stress is not to exceed 8 x 106 N/m2 . The elasticity of the steel is 200 x 109 N/m2 and concrete is 12 x 109 N/m2 .
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
Concrete column is reinforced axially with eight steel bars as shown in fig.3. Each bar has a diameter of 25mm. If the applied load is 23 KN, compute the stress developed in each material. Es=180Gpa and Ec=12 Gpa. Note that W is your registration number in KN.
FE.Question 3.K
ANALYSIS OF DOUBLY REINFORCED CONCRETE BEAM. Compute the flexural strength of the beam. Given: fc’ = 28 MPa fy = 414 MPa b = 300 mm d = 500 mm As = 6 – 28 mm ø As’ = 2 – 28 mm ø
e. Before loading, the concrete shrinks &z-conc = 0.05 (0.5%). This is less than if it were not restrained by “temperature steel", so the downdrag preloads the steel ơ2-0 = 3,000 psi. When the P = 200K is applied, estimate the final stress in the steel. %3D %3D
In the extreme fibre of a concrete beam, the value of compression is 5.80 MPa. The neutral axis of the beam is at a depth of 58 mm and the cpmpressive strength of the concrete used is 25 N/mm2. Calculate the effective curvature of the beam (in mm).