(b) A plastic rod AB of length L = 550 mm has a diameter d, = 30 mm as shown in Figure Q2(b). A plastic sleeve CD of length c = 310 mm and outer diameter d2 = 45 mm is securely bonded to the rod so that no slippage can occur between the rod and the sleeve. The rod is made of an acrylic with modulus of elasticity E1 = 3.1GPa and the sleeve is made of a polyamide with E2 = 2.5GPA. (i) Calculate the elongation & of the rod when it: is pulled by axial forces P=15kN. (ii) If the sleeve is extended for the full length of the rod, what is the elongation? (iii) If the sleeve is removed, what is the elongation? |

(b) A plastic rod AB of length L = 550 mm has a diameter d, = 30 mm as shown in Figure Q2(b). A plastic sleeve CD of length c = 310 mm and outer diameter d2 = 45 mm is securely bonded to the rod so that no slippage can occur between the rod and the sleeve. The rod is made of an acrylic with modulus of elasticity E1 = 3.1GPa and the sleeve is made of a polyamide with E2 = 2.5GPA. (i) Calculate the elongation & of the rod when it: is pulled by axial forces P=15kN. (ii) If the sleeve is extended for the full length of the rod, what is the elongation? (iii) If the sleeve is removed, what is the elongation? |

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter2: Axially Loaded Members

Section: Chapter Questions

Problem 2.4.10P: A plastic rod AB of length L = 0.5 m has a diameter d1= 30 mm (see figure). A plastic sleeve CD of...

See similar textbooks

Related questions

Q: Question (4): A plastic bar ACB having two different solid circular cross sections is held between…

Q: A steel rod with a cross-sectional area of 0.20 in is stretched between two fixed points. The…

Q: 1- The two uniform linearly elastic rods shown below are welded together at B, and the resulting…

Q: The metallic hollow pipe shown in Figure Q2 is fixed at its lower end and free at its top end, and…

Q: You are holding a thin and weightless bar on your head (see figure 2.1). On the extremity A, the bar…

A: Given:k=50 N/m

Q: wo plates 16 mm thick are joined by a double riveted lap joint. The pitch each row of rivets is 90…

Q: A solid circular rod 200 mm long and 20 mm in diameter has an axial force of P. are exposed. The…

A: Rod length, L= 200mm=0.2m Rod diameter, d=20mm=0.02m Force, P=550 N Extension in rod,…

Q: A solid circular rod 200 mm long and 20 mm in diameter has an axial force of P. are exposed. The…

A: Step 1: Given data: Length of circular rod L=200 mm. Diameter of circular rod D=20 mm. Axial force…

Q: The L2 steel bolt as shown in Figure Q4 has a diameter of 5 mm, and the link AB which is made from…

Q: Find the breaking point along the fishing rod assuming that the base of the rod is in a fixed…

A: Given: Diameters of the rods are: a = 9.93 mm b = 7.13 mm c = 5.1 mm Total length of the rod is 2 m.…

Q: A bar ABC of length L consists of two parts of equal lengths but different diameters. Segment AB has…

Q: Consider a plate formed by a non-homogeneous material with Young's modulus E(z) = Eo-zE1, with Eo,…

A: Given that: Young's modulus of plate EPoisson's ratio νν=-εlateralεlongitudnlThickness of the plate…

Q: rectangular bar 40 mm wide and 30 mm thick is 0.5 m long. It is acted upon by axial tensile force of…

Q: Figure 1 shows a stepped bar BCD made of steel material with the top end B rigidly fixed to a…

A: Given data:-Young's Modulus, E=200GPa=200×103N/mm2Cross-sectional area of segment BC,…

Q: A rigid beam is supported by a pin at A and two metallic wires at B and C. Determine the force P…

Q: A polyethylene bar with a diameter d,= 4.0 in. is placed inside steel lube with an inner diameter…

A: ⇒given data;⇒polyethylene diameter(d1)=4in⇒steel tube diameter(d2)=4.01in⇒axial…

Q: 2. With an area of 420 mm?, a bronze bar that is 3 m long is placed between two rigid walls as shown…

Q: A bar ABC length L consists of two parts of equal lengths but different diameters.Segment AB has…

A: Given: P=110 kN shortening of the bar = 0.8 mm (a)Maximum allowable diameter (b) distance b from…

Q: A steel rod with a cross-sectional area of 150mm^2 is stretched between two fixed points. The…

Q: A 75-cm-long cylindrical rod of cross-sectional area A, = 0.5 cm2 is placed inside a tube of the…

A: As the given data L=75 cm At=0.65cm2Ar=0.5cm2Er=250GPaEt=120GPa(σt)y=320Mpa

Q: The bronze bar 2.7 m long with a cross-sectional area of 415 mm2 is placed between two rigid walls.…

Q: A bar ABC of length L consists of two parts of equal lengths but different diameters. Segment AB has…

A: We have given A bar ABC of length L consists of two parts of equal lengths but different diameters.…

Q: GPa

Q: Consider the bar in Figure 2, which has cross-sectional area A = 1·10−3 m2, modulus of elasticity E…

Q: A solid homogeneous truss tie-rod has a diameter of 9.52 mm and an original length of 1.75 m…

Q: The rod shown in the figure has two cross-sectional areas, where the area of the larger…

A: The force values are The cross section of smaller rod is The cross section of larger area is The…

Q: A plastic rod AB of length L = 0.5 m has a diameter d, = 30 mm (see figure). A plastic sleeve CD of…

Q: ILLUSTRATION AND SOLUTION Problem 1: A steel rod with a cross - sectional area of 150 mm2 is…

Q: The displacement of the bar u(x) is governed by the equation Ә -AE +1(x) = 0 x = [0, 1.5], du(x) dx…

A: Given data: The bar has a cross-sectional area of The modulus of Elasticity of the bar is The length…

Q: 3. The bar shown below is composed of two pieces, AC and CD. The bar is attached to the wall at…

Q: A steel bar 300 mm long and having 24 mm diameter, is turned uuwn to 18 mm diameter for one-third of…

Concept explainers

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

Question

(b) A plastic rod AB of length L = 550 mm has a diameter d = 30 mm as shown in Figure
Q2(b). A plastic sleeve CD of length c = 310 mm and outer diameter d = 45 mm is
securely bonded to the rod so that no slippage can occur between the rod and the sleeve.
The rod is made of an acrylic with modulus of elasticity E1 = 3.1GPA and the sleeve is
made of a polyamide with E2 = 2.5GPA.
(i)
Calculate the elongation & of the rod when it is pulled by axial forces P=15KN.
(ii)
If the sleeve is extended for the full length of the rod, what is the elongation?
(iii) If the sleeve is removed, what is the elongation? |

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 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, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

Three prismatic bars, two of material A and one of material B. transmit a tensile load P (see figure). The two outer bars (material A) are identical. The cross-sectional area of the middle bar (material B) is 50% larger than the cross-sectional area of one of the outer bars. Also, the modulus of elasticity of material A is twice that of material B. (a) What fraction of the load P is transmitted by the middle bar? (b) What is the ratio of the stress in the middle bar to the stress in the outer bars? (c) What is the ratio of the strain in the middle bar to the strain in the outer bars?
Wires B and C are attached to a support at the left-hand end and to a pin-supported rigid bar at the right-hand end (see figure). Each wire has cross-sectional area A =0.03 in2 and modulus of elasticity E = 30 X 106 psi. When the bar is in a vertical position, the length of each wire is L = 80 in. However, before being attached to the bar, the length of wire B was 79.98 in. and wire C was 79.95 in. Find the tensile forces TBand Tc in the wires under the action of a force P = 700 lb acting at the upper end of the bar.
A bar with a circular cross section having two different diameters d and 2d is shown in the figure. The length of each segment of the bar is L/2T and the modulus of elasticity of the material is E. (a) Obtain a formula for the strain energy U of the bar due to the load P. (b) Calculate the strain energy if the load P = 27 kN, the length L = 600 mm, the diameter d = 40 mm, and the material is brass with E = 105 GPa.
An elastomeric bearing pad consisting of two steel plates bonded to a chloroprene elastomer (an artificial rubber) is subjected to a shear force V during a static loading test (see figure). The pad has dimensions a = 125 mm and b = 240 mm, and the elastomer has a thickness t = 50 mm. When the Force V equals 12 kN, the top plate is found to have displaced laterally S.O mm with respect to the bottom plate. What is the shear modulus of elasticity G of the chloroprene?
By what distance h does the cage shown in the figure move downward when the weight W is placed inside it? (See the figure.) Consider only the effects of the stretching of the cable, which has axial rigidity EA = 10,700 kN. The pulley at A has a diameter da= 300 mm and the pulley at B has a diameter dB= 150 mm. Also, the distance L1= 4.6 m, the distance L2=10.5 m, and the weight W = 22 kN. Note: When calculating the length of the cable. include the parts of the cable that go around the pulley sat A and B.
A uniform bar AB of weight W = 25 N is supported by two springs, as shown in the figure. The spring on the left has a stiffness k[= 300 N/m and natural length Lt=250 mm. The corresponding quantities for the spring on the right are k2= 400 N/m and L^ = 200 mm. The distance between the springs is L = 350 mm, and the spring on the right is suspended from a support that is a distance it = SO mm below the point of support for the spring on the left. Neglect the weight of the springs. (a) At what distance x from the left-hand spring (figure part a) should a load P = 18 N be placed in order to bring the bar to a horizontal position? (b) If P is now removed, what new value of k{is required so that the bar (figure part a) will hang in a horizontal position underweight If? (c) If P is removed and kt= 300 N/m. what distance b should spring ktbe moved to the right so that the bar (figure part a) will hang in a horizontal position under weight II"? (d) If the spring on the left is now replaced by two springs in series (kt= 300 N/m, kt) with overall natural length Lt= 250 mm (see figure part b). what value of k; is required so that the bar will hang in a horizontal position under weight IF?
A horizontal rigid bar ABC is pinned at end A and supported by two cables at points B and C. A vertical load P = 10 kN acts at end C of the bar. The two cables are made of steel with a modulus elasticity E = 200 GPa and have the same cross-sectional area. Calculate the minimum cross-sectional area of each cable if the yield stress of the cable is 400 MPa and the factor of safely is 2.0. Consider load P only; ignore the weight of bar ABC and the cables.
A wine of length L = 4 ft and diameter d = 0.125 in. is stretched by tensile forces P = 600 lb. The wire is made of a copper alloy having a stress-strain relationship that may be described mathematically by =18,0001+30000.03(=ksi) in which is nondimensional and has units of kips per square inch (ksi). (a) Construct a stress-strain diagram for the material. (bj Determine the elongation, of the wire due to the Forces P. (c) IF the forces are removed, what is the permanent set of the bar? (d) If the forces are applied again, what is the proportional limit?
A bimetallic bar (or composite bar) of square cross sec lion with dimensions 2b X lb is construe ted of two different metals having module of elasticity E2and E2(see figure). The two parts of the bar have the same cross-sectional dimensions. The bar is compressed by forces P acting through rigid end plates. T h e line of action of t he loads has an eccentricity e of such magnitude that each part of the bar is stressed uniformly in compression. (a) Determine the axial forces Ptand P2in the two parts of the bar. (b} Determine the eccentricity e of the loads. (c) Determine the ratio C|/tr2 of the stresses in the two parts of the bar.
Five bars, each having a diameter of 10 mm. support a load P as shown in the figure. Determine the plastic load Ppif the material is clastoplastic with yield stress
A brass wire of diameter d = 2.42 mm is stretched tightly between rigid supports so that the tensile force is T = 98 N (see figure). The coefficient of thermal expansion for the wire is 19.5 × 10-6/°C. and the modulus of elasticity is E = 110 GPa. (a) What is the maximum permissible temperature drop AT if the allowable shear stress in the wire is 60 MPa? (b) At what temperature change does the wire go slack?
A three-story steel column in a building supports roof and floor loads as shown in the figure. The story height H is 10.5 ft. the cross-sectional area A of the column is 15.5 in2, and the modulus of elasticity E of the steel is 30 × 106 psi. Calculate the strain energy U of the column assuming P1= 40 kips and P2= P3= 60 kips.