A rigid steel bar ABC is pinned at B and supported by two rods at A and C. There is no strain in the rods before load P is applied. After load P is applied, the axial strain in rod (1) is +910 µɛ. Determine the axial strain in rod (2).

A rigid steel bar ABC is pinned at B and supported by two rods at A and C. There is no strain in the rods before load P is applied. After load P is applied, the axial strain in rod (1) is +910 µɛ. Determine the axial strain in rod (2).

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter8: Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings)

Section: Chapter Questions

Problem 8.2.2P: A spherical balloon with an outer diameter of 500 mm and thickness 0.3 mm is filled with a gas....

See similar textbooks

Related questions

Q: Two bars are used to support a load P. When unloaded, AB is 5 in. long, AC is 8 in. long, and the…

Q: The normal strain in a suspended bar of material of varying cross section due to its own weight is…

Q: 2. A sheet of copper is stretched biaxially in the xy-plane. If the strains in the sheet are 0.40 x…

Q: A composite rod of overall length of 200 mm comprised of a steel rod and brass rod attached rigidly…

A: Let εSteel = Strain in steel , the strain in brass is εBrass given the limitation in total…

Q: The sanding-drum mandrel shown in the figure is made for use with a hand drill. The mandrel is made…

A: Answer: (a) Average normal strain = 0.0833 in./in. (b) Circumfential strain = 0.0833 in./in.

Q: 4. The control linkage of an airplane consists of a rigid member DBC and a flexible cable AB. A…

Q: The rigid bar AB is supported by a pin at A and by the wire BD. 2,5 m If the load P causes point C…

Q: A 1000-kg homogeneous bar AB is suspended from two cables AC and BD, each with cross-sectional area…

Q: The rigid beam BC is supported by rods (1) and (2). The cross-sectional area of rod (1) is 9 mm².…

A: Given:A1=9 mm2A2=18 mm2w=4.5 KN/mL=3.70 m

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

A: Normal stress is defined as the intensity of force exerted on the cross sectional area of a member.…

Q: 2-The strain of a component, which has a tensile modulus of 5 X 105 MPa, and subjected to a stress…

Q: A rectangular block has dimensions of 3 in, 4 in, and 5 in along the X-, y-, and z- axes,…

A: The Answer is below

Q: H.W.I A rigid steel bar ABC is pinned at B and supported by two rods at A and C. There is no strain…

Q: Calculate the strain of a brass rod of length 250 mm which is subjected to a tensile load of 40 kN…

Q: H.W.7 A rigid steel bar ABC is supported by three rods. There is no strain in the rods before load P…

Q: When the state of strain is represented by the principal strains, no shear strain will act on the…

A: Forces acting perpendicular to the cross section of the body are normal forces. They can be either…

Q: A steel cable is used to support an elevator cage at the bottom of a 2400-ft-deep mineshaft. A…

A: Given Data: ◆ The uniform normal strain in the cable due to weight of the cage: εuniform = 300…

Q: Prove that the sum of the normal strains in perpendicular directions is constant, i.e., P x+ P y = P…

A: Sum of strains in X and Y directions are Sum of strains in perpendicular X and Y directions are

Q: What happens if the in-plane principal strains are of opposite signs? then theabsolute maximum shear…

A: Given: The maximum principal strain is ϵ1=ϵXY/2. The minimum principal strain is ϵ2=-ϵXY/2.

Q: A force P of 70 N is applied by a rider to the front hand brake of a bicycle (P is the resultant of…

Q: When subjected to a compressive load, the length of the rod is 199,6 mm, and its diameter is 10 mm.…

A: GIVEN DATA- Final length of the rod is 199.6 m Intial Length 200mm Diameter d=10mm E=70GPa

Q: 2.31 The normal stresses at a point in a steel member are dx = 8 ksi, ay = -4 ksi, and ₂ = 10 ksi.…

Q: Problem #2 The truss member is subjected to a tension force, F= 15 kips. If the member…

Q: rod ABC is applied with axial loading as shown in Figure Q4(a). Using E = 200 GPa, determine (i) the…

A: Given:E=200 GPaP=36 KNd=16 mmD=20 mmLAB=600 mmLBC=900 mm

Q: H.W.7 A rigid steel bar ABC is supported by three rods. There is no strain in the rods before load P…

Q: When force P is applied to the rigid arm ABC, point B displaces vertically downward through a…

A: Given Data: The length of the wire CD is L = 300 mm. The displacement of point B is s = 0.02 mm.…

Q: A steel cable is used to support an elevator cage at the bottom of a 1900-ft-deep mineshaft. A…

A: Given Data: ◆ The uniform normal strain in the cable due to weight of the cage: εuniform = 240…

Q: A rigid steel bar AB is pinned at A and supported by two rods. There is no strain in the rods before…

Q: 3) An eccentric force P is applied as shown in Fig. 2 to a steel bar of 25 x 90-mm cross section.…

Q: A rigid bar ABCD is supported by two bars as shown in the figure. There is no strain in the vertical…

A: Given data: ◆ The normal strain in the rod (1): ε1 = -1380 µm/m = -1380 × 10-6 m/m ◆ The gap in the…

Q: The rigid body ABC is connected by two links and is exerted by force P as shown aside. If the normal…

Q: H.W.7A rigid steel bar ABC is supported by three rods. There is no strain in the rods before load P…

A: Consider the diagram as shown below for the given system.

Q: The 981-kg uniform bar AB is suspended from two cables AC and BD each with cross-sectional area 339…

Q: A round Steel rod of 100 mm diameter is bent into an arc of radius 100m. What is the maximum stress…

Q: The rigid beam is supported by a pin at A and wires BD and CE (made of steel, E=200 GPa, and the…

A: Given: ∆LCE=10 mmE=200 GPaA = 1500 mm2

Q: (iii) What is the strain of brass rod of length 250mm which is subjected to a tensile load of 50kN…

A: Given : Length L= 250 mm load P = 50 KN Change in length L1 = 0.5 mm

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

Q: 2. A sheet of copper is stretched biaxially in the xy-plane. If the strains in the sheet are Ex 0.40…

A: Given data: The strain in the x-direction is εx=0.4×10-3 The strain in the y-direction is…

Q: A round Steel rod of 50 mm diameter is bent into an arc of radius 10m. What is the maximum stress in…

A: Any action that can change the state of motion is called force, Force is described by its magnitude,…

Q: Question A steel rod is subjected to a gradually applied load (F) which gave a rise to a maximum…

Q: The sanding-drum mandrel shown in the figure is made for use with a hand drill. The mandrel is made…

A: Given data Initial Diameter = d = 1.95 inFinal Diameter = D =2.05 in

Q: 6. Determine the lateral strain, in mm/mm, in the 5 mm diameter aluminum T6 rod when P = 8 kN. Use L…

Q: The sanding-drum mandrel shown in the figure is made for use with a hand drill. The mandrel is made…

A: Find the strain along diameter and circumferential .

Q: When an axial load is applied to the ends of the bar shown, where L₁ = 30 in. and L₂ = 80 in., the…

A: Given data: L1 = 30 in and L2 = 80 in Total Elongation = 0.1 in Normal strain in segment (1) =…

Q: A 200 meter cable is suspended vertically. At any point along the cable, the strain is proportional…

A: lc= Length of the Vertically Suspended Cable=200 mεmin=Minimum Strain in Vertically Suspended…

Q: The 1021-kg uniform bar AB is suspended from two cables AC and BD each with cross-sectional area 472…

Q: The strain components e x, e y, and γ xy are given for a point in a body subjected to plane strain.…

Q: If the in-plane principal strains are of opposite signs, then theabsolute maximum shear strain…

A: Given Data⇒in-plane principal strains are of opposite signsProblem definition⇒Problem says If the…

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

1,500 mm
(1)
900 mm
(2)
(2)
pe
A
C
A rigid steel bar ABC is pinned at B and supported
by two rods at A and C. There is no strain in the rods before
load P is applied. After load P is applied, the axial strain in
rod (1) is +910 µɛ. Determine the axial strain in rod (2).

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

Trending now

This is a popular solution!

Step by step

Solved in 2 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

A spherical balloon with an outer diameter of 500 mm and thickness 0.3 mm is filled with a gas. Calculate maximum permissible pressure in the balloon if the allowable normal strain at the outer surface of the balloon is O.h Assume E = 4 MPa and v = 0,45.
1.A sheet of copper is stretched biaxially in the xy-plane. If the strains in the sheet are epsilon_{x} = 0.40 * 10 ^ - 3 and epsilon_{y} = 0.30 * 10 ^ - 3 determine and Use sigma_{y}; E = 110 GPa and y = 0.35 . sigma_{x}. Use E= 110 GPa and v=0.35. Show complete free body diagram.
A steel bar of 3 m long and 2500 mm2 in area hangs vertically, which is securely fixed on a collar at its lower end . If a weight of 25 KN falls on the collar from the height of 10 mm , determine the stress induced in the bar. What will be the strain energy stored in the bar? Take E=200 GPa.
Rigid bar ABCD is loaded and supported as shown. Steel [E = 31300 ksi] bars (1) and (2) are unstressed before the load P is applied. Bar (1) has a cross-sectional area of 0.79 in.2 and bar (2) has a cross-sectional area of 0.44 in.2. After load P is applied, the strain in bar (1) is found to be 880 μεμε. Assume L1=69 in., L2=106 in., a=34 in., b=35 in., and c=27 in. Determine:(a) the stresses in bars (1) and (2).(b) the vertical deflection vD of point D on the rigid bar.(c) the load P.
At a point on the free surface of a ductile cast iron [E = 168 GPa; ν = 0.32; α = 10.8×10– 6 /°C] machine part, the measured strains resulting from both a temperature decrease of 65°C and externally applied loads are εx = −370 με, εy = −715 με, and γ xy = 0. Determine the stresses σ x and σ y at the point.
A short post constructed from a hollow circular tube of aluminum supports a compressive load of 54 kips. The inner and outer diameters of the tube are d1=3.6 in. and d2=5.0 in., respectively, and its length is 40 in. The shortening of the post due to the load is measured as 0.022 in. Determine the compressive stress and strain in the post. (Disregard the weight of the post itself, and assume that the post does not buckle under the load.) 5
A tensile stress is to be applied along the long axis of a cylindrical steel rod that has a diameter of 10mm. A change in diameter is produced of 2.5x10^-3 mm when the deformation is entirely elastic. Given: E = 200GPa and v = 0,3. Determine the lateral strain
A composite rod of overall length of 200 mm comprised of a steel rod and brass rod attached rigidly to the end. The diameter and the length of the steel rod is 10 mm and 120 mm, respectively, the diameter and the length of the brass rod as 20 mm and 80 mm respectively. The rod is used as a tie in a link mechanism and the strain in the brass rod is limited to 0.0053. Given that the total extension of the composite rod must not exceed 0,1624 mm and E for steel is 200 GPa, respectively. Calculate : A) Strain in the steel rod B) Load carried by the steel and the brass rods C) Modulus of elasticity for the brass. Can you please resend that question as it appears to be blank??
A tri-axial state of stress, σx , σy, and σz ,exists in a steel machine part. For steel, E = 200GPa and ν = 0.3. Determine the normal strain in the x-direction if σx = 100MPa, σy = 35MPa, σz = 70MPa. Determine the dilatation. Determine the modulus of rigidity.
. The normal stresses at a point in a steel member are δx = 8 ksi, δy = -4 ksi and δz = 10 ksi. Using E = 29 x 103 ksi and v = 0.3, determine the normal strains at this point.
A composite rod of overall length of 200 mm comprised of a steel rod and brass rod attached rigidly to the end. The diameter and the length of the steel rod are given as 10 mm and 120 mm,respectively, the diameter and the length of the brass rod as 20 mm and 80 mm respectively. The rod is used as a tie in a link mechanism and the strain in the brass rod is limited to 0,00053. Given that the total extension of the composite rod must not exceed 0,1624 mm and E for steel is 200 GPa, respectively. Determine : A) Strain in the steel rod B) Load carried by the steel and brass rods C) Modulus of elasticity for the brass
Determine the allowable value of force P (in Newtons), if a bar of diameter d = 32 mm and length L = 0.60 m is loaded in tension by force P. The bar has modulus E = 44 GPa and allowable normal stress of 218 MPa. The elongation of the bar must not exceed 1.8 mm.