A high-density polyethylene [E = 135 ksi and a = 69 x 10-6/°F] block (1) is positioned in a fixture. The block is 2.1 in, by 2.2 in. by 36 in. long. At room temperature, a gap of 0.1 in. exists between the block and the rigid support at B. Assume L₁- 36 in and A = 0.1 in. Determine: (a) the normal stressa in block (1) caused by a temperature increase of 70°F. (b) the normal strain e in block (1) at the increased temperature. Answerrs: (a) a = (b) = i 277.05 A L₁ psi. pc.

A high-density polyethylene [E = 135 ksi and a = 69 x 10-6/°F] block (1) is positioned in a fixture. The block is 2.1 in, by 2.2 in. by 36 in. long. At room temperature, a gap of 0.1 in. exists between the block and the rigid support at B. Assume L₁- 36 in and A = 0.1 in. Determine: (a) the normal stressa in block (1) caused by a temperature increase of 70°F. (b) the normal strain e in block (1) at the increased temperature. Answerrs: (a) a = (b) = i 277.05 A L₁ psi. pc.

Materials Science And Engineering Properties

1st Edition

ISBN:9781111988609

Author:Charles Gilmore

Publisher:Charles Gilmore

Chapter3: The Structure Of Real Materials

Section: Chapter Questions

Problem 3.12P

See similar textbooks

Similar questions

A high-density polyethylene [E = 121 ksi and a = 61 x 10-6/°F] block (1) is positioned in a fixture. The block is 2.2 in. by 2.7 in. by 29 in. long. At room temperature, a gap of 0.11 in. exists between the block and the rigid support at B. Determine: (a) the normal stress o in block (1) caused by a temperature increase of 98°F. (b) the normal strain & in block (1) at the increased temperature. [ Answerrs: (a) o = (b) = 0.11 in. 29 in. Ans: (a) - 264.3725 με. (b) 3793.1033 psi.
Two uniform spheres are positioned as shown. Determine the gravitational force F which the titanium sphere exerts on the copper sphere. The value of R is 30 mm. Assume a = 4.9, b = 2.3,0=29° T R aR Titanium e Copper bR --x
2. A rod is composed of an aluminum section rigidly attached between steel and bronze sections as shown in the figure. Axial loads are applied at the positions indicated. The cross-sectional area of the rod is 300sq.mm. Express your answer in MPa. Determine the stress in the steel. b. a. Determine the stress in the aluminum. Determine the stress in the bronze. C. STEEL ALUMINUM BRONZE 56kN 14kN -0.6m- -0.9m- -0.76m-
3. A steel bolt through a 25-in long aluminum tube has the nut turned on until it just touches the end of the tube. No stress is introduced on the bolt or the tube. The temperature of the assembly is raised from 70 to 79 degrees Fahrenheit. The cross-sectional area of the bolt is 0.08 sq. inch and the cross-sectional area of the tube of 0.25 sq. inch. For steel: E = 30 x 10^6 psi, coefficient of thermal expansion = 6.5 x 10^-6 per degree Fahrenheit. For aluminum: E = 10 x 10^6 psi, coefficient of thermal expansion = 13.0 x 10^-6 per degree Fahrenheit. Find the thermal deformation (in inches) of the steel bolt. (Write your answer to 6-decimal places. ) * Your answer This is a required question Find the thermal deformation (in inches) of the aluminum tube. (Write your answer to 6-decimal places.) * Your answer This is a required question Find the stress (in psi) induced in the steel bolt by the temperature change. * Your answer
A two pinned end bars AB (copper) and BC (aluminum) is subjected to a horizontal force P = 90KN applied at pin B %3D as shown in the figure, determine the horizontal displacement of pin B. Aluminum: L= 1.5m, A= 1000mm2, E= 70 GPa Copper: L= 2.0m, A= 850mm², E= 120 GPa Degree: 45° Alumaum L-15m A=1000 mm E-70 GPa >P=90 kN Copper L=2.0m Aa550 mm E=120 GPa
A rigid bar, AB, is pinned at point B. Two other bars, AC and AD, are connected to point A to provide support for AB. We are investigating the behavior of this system under a specific load. Key Details: Bar properties: Material: Steel with Young's modulus (Esteel) of 200 GPa and coefficient of thermal expansion (a) of 11.7 x 10^-6 /°C. Cross-sectional area: AC: 1960 mm² AD: 1250 mm² Length: AC: √2 meters (square root of 2 meters) AD: 1 meter Inclination angles: AC: θ₁ (theta 1) = 30° from horizontal AD: θ₂ (theta 2) = 20° from horizontal Load on bar AB: Idealized linearly increasing load with a maximum value of 30 kN/m at point B. Problem Objectives: Determine the internal forces (axial forces) acting within bars AC and AD due to the applied load on AB. Calculate the displacement of point A in both horizontal (dA,x) and vertical (dA,y) directions.If the bar is cooled by 10°C, what would be the: Determine the internal forces (axial forces) acting within bars AC and AD…
A high-density polyethylene [E= 104 ksi and a 74 x 10-6/°F] block (1) is positioned in a fixture. The block is 2.2 in. by 2.4 in. by 39 in. long. At room temperature, a gap of 0.08 in. exists between the block and the rigid support at B. Determine: (a) the normal stress a in block (1) caused by a temperature increase of 40°F. (b) the normal strain e in block (1) at the increased temperature. Answerrs: 0 (a) σ= (b) e 0.08in. 39 in. psi. με.
A mild steel flat of width 100 mm and thickness 12 mm is bent into an arc of a circle of radius 10 m by applying a pure moment M. If Young's modulus tilde E = 200GPa then the magnitude of M is? (a) 72 Nm (c) 216 Nm (b) 144 Nm (d) 288 Nm
A 5.2-m-long aluminum tube (1) is to be connected to a 2.2-m-long bronze pipe (2) at B. When put in place, however, a gap of 9 mm exists between the two members, as shown. Aluminum tube (1) has an elastic modulus of 69 GPa and a cross-sectional area of 1980 mm2. Bronze pipe (2) has an elastic modulus of 93 GPa and a cross-sectional area of 3970 mm2. If bolts are inserted in the flanges and tightened so that the gap at B is closed, determine: (a) the normal stresses ?1, ?2 produced in each of the members. (b) the displacement (change in length of material (2), up is positive) uB of flange B with respect to support A. 5.2 m 2.2 m Answers: (a) 0₁ = (b) Ug = C (1) B (2) -95.40 1.126 9 mm MPa, 0₂ = mm. -47.58 MPa
A uniform beam of weight Wis supported by the two rods, the lower ends of which are at the same level just before the beam is supported, as shown in figure. The ratio of the areas Aluminium (E = 70 GPa) 2 m 1.5 m W 3 m 3m Aaluminium Asteel Steel (E = 200 GPa) 0.5 m of the rods so that the beam will be horizontal after it is attached to the rods is
Two polymer bars are connected to a rigid plate at B, as shown. Bar (1) has a cross-sectional area of 1.58 in. and an elastic modulus of 2430 ksi. Bar (2) has a cross-sectional area of 0.714 in and an elastic modulus of 4110 ksi. Assume Ly-18 in., Lz-47in, Q=6,4 kips, P-3.2 kips, and R-128 kips. Determine the horizontal deflection of end Crelative to end A. (1) Answer: uCA in.
Calculate Young's modulus for an iron crystal when tension is applied along [2 -2 1] direction. S11=7.6 (TPa)-', S12 = - 2.8 (TPa)-', S44 = 8.6 (TPa) -!