A beam with the following cross section is constructed with concrete of compressive strength of 5,000 psi and three fiberglass reinforcing bars that have a cross sectional area of 0.15 in.² The bars are elastic with a modulus of 7,800 ksi until they fail in a brittle manner at a strain of 1.8%. a. Estimate the mode of failure for the beam. Is it desirable? Justify your answer. b. Calculate the nominal moment capacity. c. What strength reduction factor would you use to calculate the factored design moment? 8" 12" 000 10"

A beam with the following cross section is constructed with concrete of compressive strength of 5,000 psi and three fiberglass reinforcing bars that have a cross sectional area of 0.15 in.² The bars are elastic with a modulus of 7,800 ksi until they fail in a brittle manner at a strain of 1.8%. a. Estimate the mode of failure for the beam. Is it desirable? Justify your answer. b. Calculate the nominal moment capacity. c. What strength reduction factor would you use to calculate the factored design moment? 8" 12" 000 10"

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: SITUATION 21 A rectangular steel block is 300 mm in the x direction, 200 mm in the y direction, and…

Q: Is this a frame or a truss? Calculate the cross section of the bar BC if the allowable normal stress…

A: Given:- Allowable normal stress in BC = 165 MPa To determine- a) Is this a frame or a truss? b)…

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: Given: A steel rod (A= 150 mm2) is stretched between two fixed points with a tensile load of 5000 N…

A: Given data:A=150 mm2 Load,P=5000 Nα=11.7×10-6/°CE=200 GPa or 200×103 N/mm2

Q: 3. (A). Define the terms shear stress and shear strain, illustrating your answer by means of a…

A: shear stress : Shear stress is a force that tends to distort a material by causing it to slip along…

Q: n aluminium channel section is shown in the figure below: 4mm I; mm mm l mm s indicated, the…

Q: A circular aluminum alloy [E = 70 GPa; a = 22.5 x 10-6/°C; v = 0.33] pipe has an outside diameter of…

Q: An aluminum alloy cylinder with a diameter of 76 mm and a height of 150 mm. is subjected to a…

Q: P- 3P 2P Steel Bronze Al A = 200 mm A = 400 mm A = 500 mm = 150MPA e= 100MPA c = 80MPA

Q: A steel rod 30 mm X 20 mm is subjected to an axial load of 35 kN. The original length of the rod is…

A: Given data : Original length (L)=650 mmDecrease in length (∆L)=-5 mmAxial load (P)=35 KNDimension=30…

Q: tion by the cross-sectional area. Is this approach t? To answer this question consider the loading

A: STress is the ratio of force to the cross -sectional area.

Q: A circular aluminum tube of length L = 400 mm is loaded in compression by axial forces P at the…

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

Q: Q- A cylindrical piece of steel, with a diameter of 60mm and length 100 mm, is subjected to an axial…

A: Given data- Diameter d=60 mm, Length L=100 mm, Axial compressive force=40,000 kg, Bulk modulus =…

Q: The ratio of hoop stress/axial stress is? O 1/2

A: Hoop stress is also known as circumferential stress . It is tensile in nature acting along…

Q: An aluminium channel section is shown in the figure below: i mm 1; mm mm I mm As indicated, the…

A: Given L1=167mm t1 =1mm L2 =218mm t2=3mm

Q: Determine the strain if stress value is 33 MPa and modulus of elasticity is 80 MPa

A: Given data : The value of stress σ=33 MPa The value of modulus of elasticity E=80 MPa To find :…

Q: For the simply supported beam with square cross sectional area as shown in the figure below: 1.…

A: To maintain equilibrium, the sum of upward reactions and downward reactions acting on the beam are…

Q: A rectangular steel block is 4 inches long in the x direction, 3 inches long in the y direction, and…

Q: A tie- down on the deck of a sailboat consists of a bent bar bolted at both ends, as shown in the…

A: Given data, Diameter of the washer (Dw) = 22 mm Diameter of the bar (Db) = 6 mm Thickness of…

Q: A beam of the cross section shown is made of a steel that is assumed to be elastoplastic with E= 200…

Q: 7. A solid aluminum cylinder is placed within an ASTM A501 steel tube as shown. Compute the stresses…

A: Given Data: The diameter of the solid aluminum cylinder is d1=3 in. The diameter of the steel tube…

Q: Normal stress is calculated dividing the reaction by the cross-sectional area. Is this approach…

A: Given data in question Normal stress approach To find out Discuss the given statement

Q: A high strength steel band saw of rectangular cross-section of size 20 x 0.8 mm thick runs over…

Q: Problem Two: Consider the cross-sectional shown in the figure below. The cross-section is reinforced…

Q: wla V sI Untitled A rod is composed of an aluminum section rigidly attached between steel and bronze…

Q: Calculate the strain if initial length of rod is 104 mm and extension in rod due to tesnile load is…

Q: Problem Two: Consider the cross-sectional shown in the figure below. The cross-section is reinforced…

Q: The failure stress of a homogeneous steel bar having a diameter of 10 mm is 250 MPa. Using a factor…

Q: test conducted on a steel bar whose cross section is 0.5 in. by 4 in. is performed. An axial load of…

A: Given:- A=0.5*4 in P=30500lb △L=0.00103in Gauge Length = 2in △d=0.000078in t = 0.5 in To find:- a)…

Q: A 2 m long alloy bar of 1500 mm? cross-section area hangs vertically and has a collar securely fixed…

Q: A high-strength steel band saw, 26 mm wide, runs over pulleys 700 mm in diameter. What minimum…

Q: The cross-section of a composite beam made of aluminium and steel is shown in the figure. The moduli…

Q: In the figure below, the 1300-kg uniform bar AB is suspended from two cables AC and BD each with a…

Q: A RECTANGULAR ALUMINUM BLOCK IS 110mm LONG IN THE X DIRECTION, 70mm WIDE IN THE Y DIRECTION AND 85mm…

A: Given data: Force in X direction = 210 kN compression Force in Y direction = 170 kN Tension Force…

Q: 4) The acrylic plastic rod is 200 mm long and 15 mm in diameter. If an axial load of 250 N is…

Concept explainers

Material Properties

Construction in civil engineering demands high strength, durability, and longevity. These targets can be achieved by better design and analysis, along with the correct choice of materials. Different materials have different properties and hence, they respond and performs differently under the various condition of external loadings. It is therefore a critical task of an engineer to select the right material based on the property that the material is supposed to function in real-time. When speaking about the property, there are different categories of material properties like chemical property, physical property, mechanical property, electrical property, magnetic property, thermal property, etc. These material properties form the basis of material selection in various applications.

Question

100%

A beam with the following cross section is constructed with concrete of compressive strength of 5,000
psi and three fiberglass reinforcing bars that have a cross sectional area of 0.15 in.² The bars are elastic
with a modulus of 7,800 ksi until they fail in a brittle manner at a strain of 1.8%.
a. Estimate the mode of failure for the beam. Is it desirable? Justify your answer.
b. Calculate the nominal moment capacity.
c. What strength reduction factor would you use to calculate the factored design moment?
8"
12"
000
10"

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

Step 2

Step 3

Step 4

Step 5

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 1 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

An aluminum pipe (modulus of elasticity 10.1x10^6 psi) is fixed at one end and is subjected to a tensile load of 127.5 kips at the free end. The length and cross-sectional area of the pipe is given as 36.1 in and 9.11 in^2. Assume that the aluminum pipe has clockwise torques (100 lb-in) acting at the midpoint and free end of the pipe. (a) Derive the element stiffness matrix
Define the below ? Lateral strain is considered – Skempton–Bjerrum method
answer quickly
asap pls 15 mins
Detailed description answer.
Round off final ans, dont round off initial values
An aluminium wire (E=10,600 ksi) having a diameter d=1/8 inch. and length L=14 ft is subjected to a tensile load P. If the maximum permissible elongation of the wire is 1/6 inch and the allowable stress in tension is 10 ksi, what is the allowable load Pmax? Answer in Ibs
Solution.
A solid circular steel column is 3 m long and 0.4 m in diameter. It carries a load of 50 MN. The modulus of elasticity is 200 GPa. (i) Find the stress in the column.
SHOW COMPLETE SOLUTION AND ILLUSTRATION
A steel hollow pipe about 3m long which has the inside diameter of 15mm and outside diameter of 27mm. The pipe is carrying a load of 45KN. Find the stress in the pipe. if the value modulus of elasticity for the pipe material is 100GPA. find the deformation of the pipes.
The modulus of elasticity of "reinforced concrete" in RC design, is O A. 420 GPa B. 200 GPa C. None () D. 220 GPa