**Problem Statement:**Bar A-B-C is made from a fully bonded composite of two materials as shown in the cross section below. Find the Z displacement at point C.**Description of the Diagram:**1. **Bar Configuration:** - The bar is composed of points A, B, and C. - It is subject to two forces: - \(20 \, \text{kN}\) acting leftward between points A and B. - \(50 \, \text{kN}\) acting rightward at point C. - Distances: - \(AB = 1.10 \, \text{m}\) - \(BC = 1.25 \, \text{m}\)2. **Cross Section c-c:** - The cross section is a composite made of two materials. - Layers: - Top layer: \(5 \, \text{mm}\), material 1 - Middle layer: \(5 \, \text{mm}\), material 2 - Bottom layer: \(5 \, \text{mm}\), material 1 - Total thickness: \(25 \, \text{mm}\)3. **Material Properties:** - Material 1: - Young's Modulus, \(E = 240 \, \text{GPa}\) - Material 2: - Young's Modulus, \(E = 180 \, \text{GPa}\)**Goal:**Calculate the Z displacement (\(u_z\)) at point C.\[u_z = \underline{\ \qquad \ } \text{ mm (at C)}\]

Answered: Image /qna-images/answer/e0e160ba-7087-4974-a0d4-33a4a037fe85.jpg

Answered: Bar A-B-C is made from a fully bonded…

Bar A-B-C is made from a fully bonded composite of two materials as shown in the cross section below. Find the Z displacement at point C.

Materials Science And Engineering Properties

1st Edition

ISBN:9781111988609

Author:Charles Gilmore

Publisher:Charles Gilmore

Chapter6: Introduction To Mechanical Properties

Section: Chapter Questions

Problem 12CQ

See similar textbooks

Similar questions

The data in Table 1.5.3 were obtained from a tensile test of a metal specimen with a rectangular cross section of 0.2011in.2 in area and a gage length (the length over which the elongation is measured) of 2.000 inches. The specimen was not loaded to failure. a. Generate a table of stress and strain values. b. Plot these values and draw a best-fit line to obtain a stress-strain curve. c. Determine the modulus of elasticity from the slope of the linear portion of the curve. d. Estimate the value of the proportional limit. e. Use the 0.2 offset method to determine the yield stress.
Estimate the elastic and plastic strain at the ultimate tensile strength in the low-carbon steel specimen in Figure 6.16.
Estimate the transverse tensile strength of the concrete in Problem 12.6.
How does a tensile stress differ from a compressive stress?
A tensile test was performed on a metal specimen having a circular cross section with a diameter 0. 510 inch. For each increment of load applied, the strain was directly determined by means of a strain gage attached to the specimen. The results are, shown in Table: 1.5.1. a. Prepare a table of stress and strain. b. Plot these data to obtain a stress-strain curve. Do not connect the data points; draw a best-fit straight line through them. c. Determine the modulus of elasticity as the slope of the best-fit line.
The results of a tensile test are shown in Table 1.5.2. The test was performed on a metal specimen with a circular cross section. The diameter was 3 8 inch and the gage length (The length over which the elongation is measured) was 2 inches. a. Use the data in Table 1.5.2 to produce a table of stress and strain values. b. Plot the stress-strain data and draw a best-fit curve. c. Compute the, modulus of elasticity from the initial slope of the curve. d. Estimate the yield stress.
The frame of a space shuttle type vehicle must have a high yield strength and high stillness, and the most important design factor is weight. Of all the materials presented in this chapter, what material might be the most suitable for the frame of a space shuttle? Assume that there will be both tensile and compressive stresses. For a space shuttle, cost is not a limiting factor. (a) You can eliminate entire classes of materials from consideration with a brief statement about their unsuitability. (b) What material has the highest specific yield strength? Give the yield strength, specific gravity, specific yield strength, elastic modulus, and specific elastic modulus for this material. (c) What material has the highest specific elastic modulus? Give the yield strength, specific gravity, specific yield strength, elastic modulus, and specific elastic modulus for this material. (d) Compare the materials with the highest specific yield strength and highest specific elastic modulus for suitability in the space shuttle frame. (C) Discuss the suitability of the top-rated material for this design from the viewpoint of the ability to produce a frame.
A tensile test was performed on a metal specimen having a circular cross section with a diameter of 1 2 inch. The gage length (the length over which the elongation is measured) is 2 inches. For a load 13.5 kips, the elongation was 4.6610 3 inches. If the load is assumed to be within the linear elastic rang: of the material, determine the modulus of elasticity.