Q3) The rigid bar ABCD is supported by bars (1) and (2). After load P is applied, the normal strain in bar (1) is 820 µm/m. Find (a) the normal strain in bar (2). (b) The normal strain in bar (2) if there is a 1-mm gap in the connection at pin C before the load is applied.

Q3) The rigid bar ABCD is supported by bars (1) and (2). After load P is applied, the normal strain in bar (1) is 820 µm/m. Find (a) the normal strain in bar (2). (b) The normal strain in bar (2) if there is a 1-mm gap in the connection at pin C before the load is applied.

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 2.7.2P: A bar with a circular cross section having two different diameters d and 2d is shown in the figure....

See similar textbooks

Related questions

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

A: (a) To Find : The normal strain in rod 1. Given : The length of rod 1 is L1=148 in The length of…

Q: Rigid bar ABCD is supported by two bars. There is no strain in the vertical bars before load P is…

A: (a) To find: The normal strain in bar 1. Given: The dimensions are L1=1900 mm, L2=1425 mm, a=190 mm,…

Q: a) Figure Q4 (a) shows an L-bracket ABC with diameter d which lies in the horizontal plane. It is…

Q: A rigid steel bar is supported by three circular rods as shown in Figure below. There is no strain…

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

Q: A copper wire of length (400+R) cm , diameter of (4+R) mm and mass of (5000 + R) g, if Young's…

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

Q: The bar ABC shown is loaded by a force P1=20 kN and P2= 40 kN at points C and B respectively. The…

A: The energy accumulated in a body owing to deformation is known as strain energy. Strain energy…

Q: L₁ Rigid bar ABCD is supported by two bars as shown. There is no strain in the vertical bars before…

A: Calculate the contraction in bar (2).

Q: A steel wire having cross section area 2 mm2 is stretched by 10 N. Find the lateral strain produced…

Q: uniform diameter d = 1.75 in. Segment (1) is an aluminum ₁ = 10000 ksi Segment (2) is a copper Ę₂ =…

Q: When an axial load is applied to the ends of the bar shown in the figure, the total elongation of…

Q: A short column tube of length L = 400 mm is loaded by a compressive force P. The outside and inside…

Q: When an axial load is applied to the ends of the bar shown in the figure, the total elongation of…

Q: Q1) Bar (1) of length 2.8 m and bar (2) of length 0.73 m are fixed at ends A and C. There is a A =…

Q: The figure shows a rigid lever arm CBA that is pinned at A and connected to a wire at B. An applied…

Q: A 1.9-m-long rigid bar AD is pinned to a wall at A and connected to two wires at B and C as shown in…

A: Given data: The length of the bar AD is L = 1.9 m. The clockwise rotation of the bar AD is θ=3°.

Q: Rigid bar ABCD is supported by two bars as shown. There is no strain in the vertical bars before…

A: The deflection in bar 2 is calculated as: δC=3300×10-6×1200=3.96 mm

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: Q1. A simple bar element is shown below. It is initially horizontal, with length L. Under some…

A: INTRODUCTION : The distortion of the body caused by the application of a load or force is known as…

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

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

Q: The rigid bar ACE is supported by two steel rods AB and CD (Esteet = 200 GPa) with the cross…

Q: When an axial load is applied to the ends of the bar shown in the figure, the total elongation of…

Q: The stresses in a 2-D rectangular steel body (E = 200 GPa, v=0.32) are 0xx = -A(L - x)y, and oxy =…

Q: A 5-mm-thick rectangular alloy bar is subjected to a tensile load P by pins at A and B, as shown in…

A: Here I have used the simple definitions of Poisson ratio and the stress and strain relationship.

Q: When an axial load is applied to the ends of the bar shown in the figure, the total elongation of…

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

Concept explainers

Pressure Vessels

The term pressure vessel refers to a closed container that contains gas or liquid at a different pressure than environment pressure. The pressure vessels have a wide scale of applications in our day-to-day lives and other industrial places. Some common examples of pressure vessels are gas cylinders, autoclaves, compressor vessels, etc.

Question

Q3) The rigid bar ABCD is supported by bars (1) and (2). After load P is
applied, the normal strain in bar (1) is 820 µm/m. Find
(a) the normal strain in bar (2).
(b) The normal strain in bar (2) if there is a 1-mm gap in the connection at
pin C before the load is applied.
(2)
300 mm
340 mm
140 mm
1200 mm
B
D
900 mm
(1)

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

Similar questions

A bungee cord that behaves linearly elastically has an unstressed length L0= 760 mm and a stiffness k = 140 N/m. The cord is attached to two pegs, distance/? = 380 mm apart, and is pulled at its midpoint by a Force P = 80 N (see figure). (a) How much strain energy U is stored in the cord? (b) What is the displacement Scof the point where the load is applied? (c) Compare the strain energy (with the quantity PSC12. Note: The elongation of the cord is not small compared lo its original length.
A circular aluminum tube of length L = 600 mm is loaded in compression by forces P (see figure). The outside and inside diameters are d2= 75 mm and d1= 63 mm, respectively. A strain gage is placed on the outside of the lube to measure normal strains in the longitudinal direction. Assume that E = 73 GPa and Poissons ratio is v = 0.33. (a) IF the compressive stress in the tube is 57 MPa, what is the load P? (b) If the measured strain is e = 78 J X 10-6, what is the shortening
A prismatic bar in tension has a length L = 2.0 m and cross-sectional area A =249 mn2. The material of the bar has the stress-strain curve shown in the figure. Determi ne t he elongation 5 of the bar for each of the following axial loads: P = 10 kN, 20 kN, 30 kN, 40 kN. and 45 kN. From these results, plot a diagram of load P versus elongation 5 (load-displacement diagram).
An clement of material in plane strain (see figure) is subjected to strains ex= 480 × 10-6, Ey= 70 × l0-6, and yxy= 420 × l0-6. Determine the following quantities: (a) the strains for an element oriented at an angle 0 = 75°, (b) the principal strains, and (c) the maximum shear strains. Show the results on sketches of properly oriented elements.
A joint between iwo concrete slabs A and B is filled, with a flexible epoxy lhal bonds securely lo the concrete (see figure). The height of the joint is h = 4.0 in., its length is L = 40 in., and its thickness is t = 0.5 in. Under the action of shear forces K the slabs displace vertically through the distance d = 0.002 in. relative lo each other. (a) What is the average shear strain in the epoxy? (b) What is the magnitude of the forces V if the shear modulus of elasticity G for the epoxy is 140 ksi?
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 rubber ball (sec figure) is inflated to a pressure of 65 kPa. At that pressure, the diameter of the ball is 240 mm and the wall thickness is 1.25 mm. The rubber has a modulus of elasticity E = 3,7 MPa and Poisson's ratio v = 0.48. (a) Determine the maximum stress and strain in the ball, (b) If the strain must be limited to 0.425, Find the minimum required wall thickness of the ball.
A brass plate with a modulus of elastici ty E = 16 X 106 psi and Poisson’s ratio a = 0.34 is loaded in biaxial stress by normal stresses r and cry. (sec figure). A strain gage is bonded to the plate at an angle 4 = 350 If the stress o is 10,700 psi and the strain means used by the gageise = 390 X 106.whatisthcmax- imum in-plane shear stress (Tr, ),. and shear strain (>‘ ).? What is the maximum shear strain (y ) in the x-: plane? What is the maximum shear strain (y ).. in the y-r plane?
A joint between two glass plates A and B is filled with a flexible epoxy that bonds securely to the glass. The height of the joint is/p = 0.5 in, its length is L = 30 in, and its thickness is/ = 0.5 in. Shear force of I' = 25 kips is applied to the joint. Calculate the displacement of the joint if the shear modulus of elasticity G of the epoxy is 100 ksi. Calculate the average shear strain in the epoxy.
An aluminum bar subjected to tensile Forces P has a length L = 150 in. and cross-sectional area A = 2.0 in2 The stress-strain behavior of the aluminum may be represented approximately by the bilinear stress-strain diagram shown in the figure. Calculate the elongation S of the bar for each of the following axial loads: p = 8 kips, 16 kips. 24 kips, 32 kips, and 40 kips. From these results, plot a diagram of load P versus elongation S (load-displacement diagram).
A 4.75-in, outside diameter polyethylene pipe designed to carry chemical waste is placed in a trench and bent around a quarter-circular 90° bend (see figure). The bent section of the pipe is 52 ft long. Determine the maximum compressive strain If the normal strain cannot exceed 6.1 × 10-3 , what is the maximum diameter of the pipe? If d = 4.75 in., what is the minimum acceptable length of the bent section of the pipe?
A slightly tapered bar AB of rectangular cross section and length L is acted upon by a force P (see figure). The width of the bar varies uniformly From b2at end A to b1at end B. The thickness t is constant. (a) Determine the strain energy U of the bar. (b) Determine the elongation ?? of the bar by equating the strain energy to the work done by the force P.