The two bars shown in the figure are used to support a load P. When unloaded, joint B has coordinates (0, 0). After load P is applied, joint B moves to the coordinate position (0.40 in., -0.65 in.). Assume a = 10 ft, b = 5 ft, and h = 7 ft. Determine the normal strain in each bar.

The two bars shown in the figure are used to support a load P. When unloaded, joint B has coordinates (0, 0). After load P is applied, joint B moves to the coordinate position (0.40 in., -0.65 in.). Assume a = 10 ft, b = 5 ft, and h = 7 ft. Determine the normal strain in each bar.

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 2.7.6P: The truss ABC shown in the Figure is subjected to a horizontal load P at joint B. The two bars are...

See similar textbooks

Related questions

Q: PROBLEM 2. A bracket is loaded as shown in the figure. In order to determine the location and weight…

Q: Q3) The rigid bar ABCD is supported by bars (1) and (2). After load P is applied, the normal strain…

A: Given that, The strain in bar 1, ε1=20 μm/m, The deflection in bar 1 is, Strain in bar 1 is given…

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

Q: A circular aluminum tube with a length of L = 420 mm is loaded in compression by forces P (see…

Q: 3 KN/m D B 120 mm YA= 40 mm A. 80 mm 1m 2 m 10 KN 10 KN L= 4 m

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: PROBLEM 2. A bracket is loaded as shown in the figure. In order to determine the location and weight…

Q: A cantilever beam of rectangular cross section (width b = 25 mm. height h= 100 mm) is loaded by a…

A: Given b= 25mmh = 100mmβ=60εa=125×10-6εb=-375×10-6E = 200 GPaν=13 To find Magnitude of alpha…

Q: PROBLEM 2. A bracket is loaded as shown in the figure. In order to determine the location and weight…

Q: 1. A thin rectangular plate a = 20 mm x b = 12 mm (see figure below) is acted upon by a stress…

A: Given: To find: (a) The change in length of diagonal ACb) The shear strain, Yxv, along the length of…

Q: A cantilever beam with a rectangular cross section (width b = 20 mm, height Ii = 175mm) is loaded by…

Q: The figure shows a cross section of simply supported beam with a uniformly distributed load of 4.8…

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

A: Strain in member 1 = -1160 um/m Answer is 1073 um/m

Q: The Strain along the length direction of the block subjected to 3 mutually perpendicular forces as…

A: Given , Px is positive , Py and Pz are negative

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

Q: A rectangular bar having width w = 5.00 in. and thickness t = 1.00 in. is subjected to a tension…

Q: Problem 1. A circular aluminum tube of length L = 400 mm is loaded in compression by forces P (see…

Q: A circular aluminum tube of length L = 400 mm is loaded in compression by forces P (see figure). The…

A: (a) The shortening in the bar can be determined as,

Q: A rectangular bar having width w = 4.75 in. and thickness t = 2.00 in. is subjected to a tension…

Q: 3) Objects 1 and 2 are positioned as shown in the figure. Object 1 is a rigid support. For object 2,…

A: Consider a body having length L,cross-sectional area A and Young's Modulus E is heated by ΔT°C.…

Q: Q4 /B/ The stress-strain curve for four materials are shown in figure below. Which material…

A: From the stress - strain curve for the material C, it is observed that material C undergoes a large…

Q: A rectangular bar having width w = 7.00 in. and thickness t = 1.00 in. is subjected to a tension…

Q: The figure shows a rectangular section beam with a distributed load of 3 KN/m. Decide: The maximum…

A: Consider a beam having Area Moment of Inertia I and Young's modulus E is subjected to bending moment…

Q: Prob. 2.3-10. A rod AB, whose unstretched length is L, is originally oriented at angle 0…

Q: For the plate in figure 1 below, determine the exact solution for i. displacements u(x), v(y) ii.…

A: (i) Here, p is pressure applied on the plate. Now, write the displacements. u(x)=-pxE

Q: (1) In the figure below, the cross section areas of rods AB and BC are A1, A2, and the Young's…

Q: the nodal displacements are For the plane strain elements shown in the Figure given as (4, 4) uj =…

A: Solution: Given Data:

Q: A 45° strain rosette (see figure 4) mounted on the surface of a car chassis gives the following…

A: To find: The principal strains and maximum shear strains and show them on appropriately oriented…

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: A thin triangular plate PQR forms a right angle at point Q. During deformation, point Q moves to the…

Q: Find the normal and shear stresses at points H and K, since F= 15 kN in the loading condition shown…

Q: find the normal strain if the figure is connected by rigid pins. v is poisson's ratio and E is…

Q: In the picture below, the beam AB is held up by cable BC on the right at B and supported by a pin on…

Q: A centered force P and a horizontal force Qx are applied at point C of the rectangular bar shown in…

A: Given that, The strain rosette has following data,ε1=-60×10-6ε2=240×10-6ε3=200×10-6Modulus of…

Q: A circular aluminum tube of lengthL = 600 mm is loaded in compression by forces P(see figure). The…

A: Disclaimer you have posted a question with multipart, subparts, we will solve the first part and…

Q: A circular aluminum tube with a length of L = 420 mm is loaded in compression by forces P (see…

Q: 1.4-6) A circular aluminum tube with a lenth of L420 mm is loaded in compression by forces P (see…

Q: Member OAB in the figure below lies in one plane and has the shape of two quadrants of a circle.…

A: let an infinitesimal force P be applied at point B

Q: A thin strip of steel of length L = 0.8 m and thickness t = 2 mm is bent by couples Mo (see figure).…

Q: The cross-section of the beam is rectangular everywhere, and the size of the cross-section is given…

A: Given width of beam w=50mmhieght of the beam h=100mm

Q: The bar ABC in the figure consists of two cylindrical segments. The material of the bar has the…

A: Answer is given below

Q: A structural plate shown in the figure is deformed into the shape represented by the dashed line.…

A: Normal strain is the deformation occurred in the body due to the application of normal force. Shear…

Q: B 60 5 in. 8 in. A P 6. Two bars are used to support a load P. When unloaded, AB is 5 in. long, AC…

Q: An initially rectangular element of a material is deformed into the shape shown in the figure.…

A: Ratio of change in length to original length is known as normal strain. Angular deformation of…

Q: 3-22. The stress-strain diagram for a polyester resin is given in the figure. If the rigid beam is…

A: given data the diameter of the struct = 12 mm the diameter of the post = 40mm given figure

Question

The two bars shown in the figure are used to support a load P. When unloaded, joint B has coordinates (0,0). After load Pis applied,
joint B moves to the coordinate position (0.40 in., -0.65 in.). Assume a = 10 ft, b = 5 ft, and h = 7 ft. Determine the normal strain in each
bar.
a
b
h
B
P
Answers:
EAB=
EBC

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

Similar questions

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 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
The strains for an element of material in plane strain (see figure) are as follows: x = 480 ×10-6. y = 140 × l0-6, and xy = —350 x 10”. Determine the principals strains and maximum shear strains, and show these strains on sketches of properly oriented elements.
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.
- 7.2-26 The strains on the surface of an experiment al device made of pure aluminum (E = 70 GPa. v = 0.33) and tested in a space shuttle were measured by means of strain gages. The gages were oriented as shown in the figure. and the measured strains were = 1100 X 106, h = 1496 X 10.6, and = 39.44 X l0_. What is the stress o in the x direction?
An element of a material is subjected to plane stresses as shown in the figure. The stresses o, cry., and are 10 MPa, —15 MPa, and 5 MPa. respectively. Assume E = 200 GPa and v = 0.3. (a) Calculate the normal strain in the x, v. and z directions and the shear strain. (b) Calculate the strain-energy density of the element.
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.
7.5-11 in. cube of concrete (E = 4.5 X 106 psi. v = 0.2) is compressed in biaxial stress by means of a framework that is loaded as shown in the figure. Assuming that each load F equals 25 kips. determine the change iv in the volume of the cube and the strain energy U stored in the cube.
Solve the preceding problem if the plate is made of aluminum with E = 72 GPa and Poisson’s ratio v = 0.33. The plate is loaded in biaxial stress with normal stress sx= 79 MPa, angle Ø = 18°, and the strain measured by the gage is e = 925 × 10-6.
The bar ABC shown in the figure is loaded by a force P acting at end C and by a force Q acting at the midpoint B. The bar has a constant axial rigidity EA. (a) Determine the strain energy U1of the bar when the Force P acts alone (Q = 0). (b) Determine the strain energy U2when the force Q acts alone (P = 0). (c) Determine the strain energy U3when the Forces P and Q act simultaneously upon the bar
The normal strain in the 45n direction on the surface of a circular tube (sec figure) is 880 × 10 when the torque T = 750 lb-in. The tube is made of copper alloy with G = 6.2 × 106 psi and y = 0.35. If the outside diameter d2of the tube is 0.8 in., what is the inside diameter dt? If the allowable normal stress in the tube is 14 ksi, what is the maximum permissible inside diameter d?
-7 A steel tube (G = 11.5 x 106 psi) has an outer diameter d2= 2.0 in. and an inner diameter dt=1,5 in. When twisted by a torque 7", the tube develops a maximum normal strain of 170 x 10-6. What is the magnitude of the applied torque T?