Figure Q1-Stepped Bar Axial LoadingA rod and tube of cross-section shown in figureare firmly attached at their ends to form a compound bar. (a)Determine the stress in the rod and in the tube when thetemperature of the bar is raised by 35°C. (b) What is themagnitude and direction of the external force required to makestress in rod equals to zero.For rod, E= 190 GN/m² with aFor tube, E= 80 GN/m² with a =Otube 8.4rod = 13.2815 x 10° per °C.10 x 10⁰ per °C.Ghid = 1.582 OtaveTubeRod28 mm45 mmFigure Q2: Compound Bar Cross-Section

Answered: Image /qna-images/answer/276ef3a4-ced7-4ba6-b400-9aa6eb75e6e8.jpg

A rod and tube of cross-section shown in figure are firmly attached at their ends to form a compound bar. (a) Determine the stress in the rod and in the tube when the temperature of the bar is raised by 35°C. (b) What is the

A rod and tube of cross-section shown in figure are firmly attached at their ends to form a compound bar. (a) Determine the stress in the rod and in the tube when the temperature of the bar is raised by 35°C. (b) What is the

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: 3 MPa. Which of the following describes the stress state? A body is subjected to the following…

A: in question stress in various plane is given: question is asking about stress state: given: SIGMAxx…

Q: A strain gage is installed in the longitudinaldirection on the surface of an aluminum beveragecan…

A: Given data:- The radius-to-thickness ratio of the Can is, R= rt=200 The strain changes, ∈0=187×10-6

Q: force. If that bar is replace

A: A rectangular bar is subjected to an axial force. If that bar is replaced by a _______ bar, the…

Q: Aluminum Steel L= 0.9 m A = 300 mm? E= 200 x 10° N/m? a = 11.7 µm/(m-°C) L= 1.2 m A = 1200 mm E= 70…

Q: Describe what is least cost method (LCM) steps of LCM in transportation?

A: Least cost method (LCM) - The method used to find the initial feasible solution for the…

Q: Calculate the normal stress in the brass rod in MPa. Calculate the normal stress in the bronze rod…

Q: The rigid bar ABC as shown in the figure is pinned supported at B and attached to the vertical two…

A: Length of steel rod, Coefficient of thermal expansion, Change in temperature, To find: Deformation…

Q: A solid 45 mm diameter beryllium copper (E = 131 GPa; α = 17.0 × 10−6 /°C) rod is stress free when…

Q: An aluminum tube, 1.2m long, has the semi circular cross section shown in the figure. (a) Determine…

A: Given :

Q: The maximum principal stress for the stress state shown in the figure is O O

A: Given:tensile stress in x-direction=σtensile stress in y-direction=σshear stress=τxy

Q: An assembly of a material consists of a brass shell fully bonded to a ceramic core. The brass shell…

Q: A vibration isolation support consists of a rod A of radius R₁ and a tube B of inner radius R₂…

A: G = 10.93 MPaP = 13 kN or 13000 N

Q: A circular metallic rod of length 250 mm is placed between two rigid immovable walls as shown in the…

Q: An elastic bar of length L, uniform cross-sectional area A, coefficient of thermal expansion a , and…

A: Solution; The axial stress diagram; σ varies with ∆T and does not depends upon the length of bar.

Q: A rigid bar of negligible weight is supported as shown. If P= 80 KN, compute the temperature change…

A: Tensile strength is defined as the ability of a material to resist a force that tends to pull it…

Q: A steel [E = 29900 ksi, a = 6.5×10-6/°F] bar is held between two rigid supports. The bar is is then…

Q: 1. Given that the value of P on the figure below is equal to 15 kN which is applied to the…

A: To Determine Stress in each rod segment.

Q: A rigid steel bar is supported by three rods as shown. There is no strain in the rods before the…

Q: A rod is composed of copper and steel section rigidly bolted in the wall as shown in the figure. If…

Q: A wire of circular cross-section of diameter 1.0 mm is bent into a circular arc of radius 1.0 m by…

A: Given- Diameter d=1 mm, Radius of arc R=1 m, E=100 GPa, It is needed to find the value of the…

Q: A cylinder of outer radius R₂=100 mm is fitted on another cylinder of outside radius R₁=85 mm with…

A: Given values: R2 = 100 mm R1 = 85 mm t = 30 mm Hoop stress = 90 MPa E = 105 MPa ν=0.15

Q: For the assembly shown in the figure below, Determine the state of stress at point A on the cross…

A: Given: P = 230KN, d = 24mm, a = 160mm, b = 260mm

Q: 3. The stress element is shown in the figure. Determine the equivalent stress according to the third…

A: Solution: Given: σx=40 MPaσy= 40 MPaτxy=60 MPa Equivalent stress according to third and fourth…

Q: The rigid bar ABC is pinned at B and attached to the two vertical rods. Initially, the bar is…

Q: (b) Prove the following statements i. Strain of the Area of a circle is twice the strain the strain…

A: It is required to prove the given two statements.

Q: The rigid bar AC is pinned at A and attached to bars DB and CE as shown in the figure. The weight of…

A: Given data in question Weight of beam Length of bars Area Elasticity modulus Coefficient of…

Q: A high-density polyethylene [E= 104 ksi and a 74 x 10-6/°F] block (1) is positioned in a fixture.…

Q: A compound bar is held between two rigid supports. The left segment is bar XY with a diameter of…

Q: 2.25. A system consists of two rigid end-plates, tied together by three horizontal bars as shown in…

Q: Q-A uniform prismatic circular bar made up of rigid material is subjected to a tensile force of 5000…

A: Tensile force F=5000 N Diameter of cross-section d=7 mm It is needed to find the stress and strain…

Q: The rigid bar is supported by a pin at A and two metal wires, each having a diameter of 4 mm. The…

Q: A high-density polyethylene [E = 121 ksi and a = 61 x 10-6/°F] block (1) is positioned in a fixture.…

A: Given : E = 121 ksi Block size - 2.2 in. X 2.7 in. X 2.9 in, To Determine : Note : Normal stress…

Q: The state of stress at a given point in a material component is = 120 MPa ; Oy ox = -80 MPa and t =…

Q: The rigid bar is supported by a pin at A and two metal wires,each having a diameter of 4mm.The…

Q: he maximum principal stress for the stress state shown in the figure is O

A: Given:σx=σσy=στxy=σ

Q: A 20 m long steel rod is at a temperature of 20°C. The rod is heated so that temperature rises by…

A: Given data- 20 m long steel rod at temperature = 20oC Temperature rises to 50oC Rod can expand upto…

Concept explainers

Pressurized pipe flow

A 15-kilometer-long pipe with a pipe diameter of one meter transports water at a speed of one meter per second. The pipe has a friction coefficient of 0.005. Calculate the frictional head loss?

Question

100%

Figure Q1-Stepped Bar Axial Loading
A rod and tube of cross-section shown in figure
are firmly attached at their ends to form a compound bar. (a)
Determine the stress in the rod and in the tube when the
temperature of the bar is raised by 35°C. (b) What is the
magnitude and direction of the external force required to make
stress in rod equals to zero.
For rod, E= 190 GN/m² with a
For tube, E= 80 GN/m² with a =
Otube 8.4
rod = 13.28
15 x 10° per °C.
10 x 10⁰ per °C.
Ghid = 1.582 Otave
Tube
Rod
28 mm
45 mm
Figure Q2: Compound Bar Cross-Section

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

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 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 horizontal bar ABC of negligible mass is connected to two rods as shown in the figure. If the system is initially stress-free, calculate the temperature change that will cause a tensile stress of 90 MPa in the brass rod. Assume that both rods are subjected to the same change in temperature. Brass L=2 m A= 1200 mm E= 100 GPa a = 18,7 x 10-y°C B -2 m Соpper L=3 m A = 1500 mm E= 120 GPa a = 16.8 x 10-bj°C FIG. P2.108
Pb-3.
2.58 Knowing that a 0.02-in. gap exists when the temperature is 75°F, determine (a) the temperature at which the normal stress in the aluminum bar will be equal to -11 ksi, (b) the corresponding exact length of the aluminum bar. 0.02 in. -14 in. 18 in. Aluminum A = 2.8 in² Bronze A = 2.4 in² E = 15 × 10º psi a = 12 x 10-6/°F E = 10.6 × 106 psi α = 12.9 x 10-6/°F Fig. P2.58 and P2.59
Knowing that a 0.03-in. gap exists when the temperature is 85 °F, determine the temperature at which the normal stress in the aluminum bar will be equal to-11 ksi. T= OF 0.03 in. 12 in. Bronze A = 2.2 in.² E = 15 × 106 psi a = 12 x 10-6°F 16 in.. Aluminum A = 2.8 in.² E = 10.6 × 106 psi a = 12.9 × 10 6 °F Ans = 250
d) Calculate the change in temperature. Indicate increase or decrease in temperature.
9-10 Determine the equivalent state of stress on an element if it is oriented 30° clockwise from the element shown. Use the stress-transformation equations. 300 psi 950 psi
A thin-walled circular tube and a solid circularbar of the same material (see figure) are subjectedto torsion. The tube and bar have the samecross-sectional area and the same length.What is the ratio of the strain energy U1 in the tubeto the strain energy U2 in the solid bar if the maximumshear stresses are the same in both cases? (For thetube, use the approximate theory for thin-walled bars.)
Follow-up questions. Rate will be given! c. Calculate the maximum tensile stress in ksi. d. Calculate the angle that the neutral ads makes with the z axis in degrees.
6 - A circular shaft is composed of a steel core and a brass covering, as shown in the figure. Under the applied torque, what is the maximum shear stress in each material? The composite shaft is attached to a wall at A. Im B OPT. →→→→T= 5 KN•m Steel core r=15mm G=78 GPa bross cylinder ro=20mm (outer diameter) G=39 GPa
The rigid horizontal bar ABC of negligible mass is connected to two rods as shown in the figure. If the system is initially stress-free, calculate the temperature change that will cause a tensile stress of 90 MPa in the brass rod. Assume that both rods are subjected to the same change in temperature.
What is the change in dia.
At a point on the surface of a machine component the stresses acting on the e face of a stress element are or = 55 MPa and Txy = 30 MPa (see figure). T- 30 MPa a, = 55 MPa What is the allowable range of values for the stress oy if the maximum shear stress is limited to TO = 34 MPa? Round to one decimal place. (a) Lower limit is MPa (b) Upper limit is MPa