An aluminum bar having a cross-sectional area of 0.5 in^2 carries the axial loads applied at the positions shown in the figure. Assume the bar is suitably braced to prevent lateral buckling. Find the total change in length of the bar if E = 10x 10^6 psi

An aluminum bar having a cross-sectional area of 0.5 in^2 carries the axial loads applied at the positions shown in the figure. Assume the bar is suitably braced to prevent lateral buckling. Find the total change in length of the bar if E = 10x 10^6 psi

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 steel block shown in is subjected to a compressive force on all directions determine the change…

A: Answers are provided below. Substitute the values for correct answer

Q: A cylindrical rod is designed of A36 steel (Ftall=Allowable tensile stress=24ksi). What is the…

A: To Determine Smallest reasonable sized rod that could support the 15,000 pounds, R

Q: Three solid cylindrical rods are welded together to form the compound axial member shown in the…

A: Load will be P in each road.

Q: Given the following structure that is made of Aluminum, subjected to a tensile load equal to 56 kN.…

A: (a) The formula to calculate the strain is given by, ε=Change in lengthOriginal length=∆lL…

Q: 3-m long steel plate having a cross-section of 25 mm x 300 mm is used as a hanger and subjected to a…

Q: Massive thanks for answering in advance

A: The objective of the question is to calculate the location of the centroid, the second moments and…

Q: EXAMPLE: 14. The composite bar in the figure is stress-free before the axial loads PI and P2 are…

Q: Consider the following figure showing state of stress at a given point in a structural or nachine…

A: Solution: Given Data: σx=150 MPaσy=-100 Mpaτxy=50 Mpa (a) normal stress in x direction…

Q: 7. A cylindrical steel bar is subjected to repeated compression-tension stress cycling along its…

Q: 29. During laboratory testing of an 8-inch aluminum-alloy rod with a cross sectional area of…

A: Given:- The length of the aluminum-alloy rod during testing = 8 inch The cross-sectional area of…

Q: The compound bar containing steel, bronze, and aluminum segments carries the axial loads shown in…

Q: A round aluminum alloy rod has a diameter of 12.5 mm and 1 m length. Its ultimate strength is 155…

A: Given:- Diameter of the round aluminum alloy rod = 12.5 mm Length of the aluminum rod = 1 m…

Q: The A-36 steel column is encased in high-strength concrete as shown. If an axial force of 60 kip is…

Q: A steel bar of length 30 m and having specific weight of 20 x 10-5 N/mm³. Find the elongation of the…

Q: A hollow circular shaft has an external diameter of 120 mm and internal diameter 60 mm. if the…

Q: The bars in the following figure have the same cross sectional area of 0.5 in. There is no stress…

A: Given data:- The given cross-sectional area, 0.5 in The given load in each bar if the temperature…

Q: (a) Tensile stress, (b) the axial linear strain,

A: Given the length of the steel bar L = 24 in diameter if the steel bar d = 0.625 in there fore…

Q: A tapered circular rod of diameter varying from 20 mm to 10 mm is connected to another uniform…

A: A tapered circular rod of diameter varying from 20 mm to 10 mm,Uniform circular rod of diameter 10…

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

Q: How to make an effective stiffness matrix for this figure? M C L 2L 2L

A: The given diagram is shown below, To make the effective stiffness matrix

Q: Three solid cylindrical rods are welded together to form the compound axial member shown in the…

A: Given data: E=47 GPa uD=30 mm →

Q: AN ALUMINUM SEGMENTS HAVING A DIAMETER AND LENGTHS SHOWN IN THE FIGURE. IF E= 85 KPa, COMPUTE THE…

A: Given E= 85 kpa = 0.085 N/mm2

Q: The steel tie-bar shown in the figure has been designed to carry a tension force of 76 kN when…

Q: The compound bar containing steel, bronze, and aluminum segments carries the axial loads shown in…

A: Given -

Q: A cylindrical bar shown in the figure below has axial loads applied as illustrated. Calculate the…

Q: (a) determine the average shear stress and shear strain in each of rubber blocks (b) determine the…

Q: 3. A solid aluminum shaft in 3 in in diameter is subjected to two torques as shown below. Determine…

Q: The equation of deformation is derived to be y = x² - xL for a beam shown in the figure. The…

A: Given: A beam shown in figure: The equation of deformation, y=x2-xL.

Q: An aluminum rod has a diameter of 10 mm and a length of 800 mm. If an axial tensile force of 200 kN…

A: Applied load P = 200 kN = 200 x 103N length of rod l = 800 mm poisson's ratio = 0.35 E = 70 GPa =…

Q: A steel bar is 6.0 ft long and has a circular cross section of diameter d₁ = 0.75 in. over one-half…

Q: The steel bar has the original dimensions shown in the figure. If it is subjected to an axial load…

Q: Properties: Rod 1 8F D = 40 mm d = 20 mm L = 1.3 meter E = 80 Gpa ROD 1 ROD 2 Rod 2 D = 80 mm d = 20…

Q: Each of the three aluminum bars shown is to be twisted through an angle of 2.5°. Knowing that b=30…

A: Given, Allowable shear stress, τall = 50 MPa b = 30 mm Modulus of rigidity (G) = 27 GPa or 27000…

Q: A compound bar consisting of bronze, aluminum, and steel segments is loaded axially as shown in the…

Q: A horizontal bar of negligible mass is hinged at A and assumed to be rigid. It is supported by an…

Q: A compound bar consisting of bronze, aluminum, and steel segments is loaded axially as shown in the…

Q: Rigid bar ABCD shown in the figure is supported by a smooth pin at D and by vertical aluminum alloy…

Q: Determine the largest weight W that can be supported by the two wires shown in figure below. The…

Q: (Problem 2.126 from the text book) Two solid cylindrical rods are joined at B and loaded as shown.…

A: Given Esteel =29 ×106 Psi Ebrass = 15×106 psi Note 1 psi = 1 lb/ in2

Q: e beam is made from a material that can safely support a tensile or c Based on this criterion,…

A: Reactions :∑ MB=0RA1.6-F1=0RA=FA1.6Max moment :MMax=RA1=FA1.6 kN-m

Q: The elongation (mm) in a steel bar having a square cross section is 2.5 mm and subjected to an axial…

A: given- square cross section 2.5 mmaxial tensile load P=250 kNlength L=4 mmodulus of elasticity…

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

7000 lb
5000 lb
6000 lb
4000 lb
3 ft
5 ft
4 ft

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 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

The rigid bar AB, attached to two vertical rods as shown in the figure, is horizontal before the load P is applied. If the value of P is 60 KN, the elongation in the Aluminum Bar is Steel L= 4 m Aluminum L= 3 m A= 500 mm E = 70 GPa A = 300 mm E = 200 GPa A 3.5 m 2.5 m P
A T-beam with drawn x and y axes is shown in figure 2. Determine the moments of inertia of the beam.
In the figure below, a joint is made by gluing two plywood gussets of thickness t to wood boards. The tensile working stresses are 1245psi for the plywood and 725psi for the boards. The working shear stress for the glue is 52psi. Determine the dimension b so that the joint is as strong as the boards.____________inches in 2 decimal places.
The overhead beam in the figure has the composite section given below. The bending moment vector acts at an angle of 0-60 degrees with the horizontal z-axis of the beam section as shown in the figure. Determine the stress at point K of the beam section for the maximum bending moment under the forces acting on the beam. Note: The numerical values of the relevant parameters are given in the attached table for each student. K Z< M 0 40mm 395 mm B2 40mm B1 240 mm + 45 mm H 180 mm 45 mm 32 KN -1.6 m B 2.4 m с 36 kN/m 6.4 m D
A cylindrical bar of steel 9.9 mm (0.3898 in.) in diameter is to be deformed elastically by application of a force along the bar axis. Determine the force that will produce an elastic reduction of 3.0×10-3 mm (1.181 ×10-4 in.) in the diameter. For steel, values for the elastic modulus (E) and Poisson's ratio (v) are, respectively, 207 GPa and 0.30. i N
An SSTM A36 strucural steel beam 3.6 m long is placed between two rigid supports when the temperature is 15 0C. What is the stress developed in the beam if the temperature rises to 50 0C? ___ MPa. Assume that the proportional limit is 235 MPa, and that lateral buckling is prevented. Calculate your answer to 1 decimal place.
PLEASE WRITE YOUR COMPLETE SOLUTION AND BOX THE FINAL ANSWER. THANK YOU. A series of rigidly attached aluminum bars carries the axial loads at the positions shown. If the modulus of elasticity E = 16×10^6 psi, compute the total deformation of the bar and state if the bar elongates or shortens. Assume that the bar is suitably braced to prevent lateral buckling.
A rectangular steel bar with given dimensions is subjected to a axial compression. What is the critical buckling load? width, b = 42 mm thick, t = 60 mm L = 3.25 E = 180 Gpa
A compound bar consisting of bronze, aluminum, and steel segments is loaded axially as shown in the figure. The cross-sectional area of the bronze, aluminum, and steel are 448 mm2, 622 mm2 , and 265 mm2 respectively.Determine the change in length (in mm) of the bar if P = 27199 N.The moduli of elasticity are 81.82 GPa for bronze ,73.92 GPafor aluminum , and 204.55 GPa for steel .
Can you help me to solve this question please ? Thank you!
Determine the following for the bar. A) B) C) D) σ, ksi 100 ksi 80 ksi T, ksi 40 ksi What is the Modulus of Elasticity for the material of the bar. What tensile force will cause the bar to yield? What will be the length of the bar after a 540 kip force is applied? What will be the cross sectional dimensions after a 300 kip force is applied? 0.0025 0.0035 0.0095 0.0100 0.0130 0.0145 Y, radians ɛ, in/in 20 in 3 in Cross Section 2 in
The compound bar containing steel, bronze, and aluminum segments carries the axial loads shown in the figure. The cross-sectional area of the steel, bronze, and aluminum are 0.75 in2, 1.08 in2, and 0.56 in2 respectively.Determine the change in length (in inches) of the bar if P = 11599 lb.The moduli of elasticity are 30022 ksi for steel ,12071 ksifor bronze, and 10028 ksi for aluminum. Round off the final answer to four decimal places.