3. Three bars each made from different materials are placed between walls when the temperature is 14°C. Determine the support reaction when the temperature becomes 19°C. The material properties are given in the figure. Answer: R = 3502.30 N Copper E = 120 GPa ag = 12(10 *)/°C abr = 21(10-6)C a= 17(10-6)/°C Acu= 515 mm? Steel Brass E = 200 GPa Epr = 100 GPa |Ag = 200 mm² Apr = 450 mm² 300 mm- -200 mm 100 mm

3. Three bars each made from different materials are placed between walls when the temperature is 14°C. Determine the support reaction when the temperature becomes 19°C. The material properties are given in the figure. Answer: R = 3502.30 N Copper E = 120 GPa ag = 12(10 *)/°C abr = 21(10-6)C a= 17(10-6)/°C Acu= 515 mm? Steel Brass E = 200 GPa Epr = 100 GPa |Ag = 200 mm² Apr = 450 mm² 300 mm- -200 mm 100 mm

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 2.5.29P: A polyethylene tube (length L) has a cap that when installed compresses a spring (with under-formed...

See similar textbooks

Similar questions

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?
- 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?
A solid spherical ball of magnesium alloy (E = 6.5 × l0-6 psi, v = 0.35) is lowered into the ocean to a depth of 8000 ft. The diameter of the ball is 9.0 in. (a) Determine the decrease ?d in diameter, the decrease, ?V in volume, and the strain energy U of the ball. (b) At what depth will the volume change be equal to 0.0324% of the original volume?
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).
A polyethylene tube (length L) has a cap that when installed compresses a spring (with under-formed length L1) by an amount ?? = (L1 = L). Ignore deformations of the cap and base. Use the force at the base of the spring as the redundant. Use numerical properties given in the boxes. (a) What is the resulting Force-in the spring, Fk? (b) What is the resulting Force in the tube, Ftl (c) What is the filial length of the tube, Lf? (d) What temperature change ?T inside the tube will result in zero force in the spring
The rails of a railroad track are welded together at their ends (to form continuous rails and thus eliminate the clacking sound of the wheels) when the temperature is 60°F. What compressive stress ?? =6.5×10-6 /? is produced in the rails when they are heated by the sun to 120"F if the coefficient of thermal expansion a = the modulus of elasticity E = 30 × 106 psi?
3. Three bars each made from different materials are placed between walls when the temperature is 14°C. Determine the support reaction when the temperature becomes 19°C. The material properties are given in the figure. Answer: R = 3502.30 N Steel Brass Copper Ebr 100 GPa Ecu = 120 GPa Est=200 GPa ast = 12(10-6)/°C abr = 21(106)/C acu = 17(10-6)/°C Acu = 515 mm² |Ast = 200 mm² Abr= 450 mm² -300 mm- 200 mm- 100 mm 4. The rigid slab is supported by two identical copper rods as shown. The copper rod has an area of 500 mm² with a = 16.8 μm/ (m°C) and E = 120 GPa. There is a gap of 0.18 mm between the slab and the aluminum rod. The aluminum rod has an area of 400 mm² with a = 23.1 μm/ ( mºC) and E = 70 GPa. Compute the stress developed in each rod when the temperature is raised to 85°C. Assume that the weight of the slab is negligible. Answer: OAI = 16.80 MPa 85 →TA Δ Copper Aluminum Copper 750 mm-
By the equipment as shown in the figure, temperature can be measured. The bar AB and CD are made from aluminum and titanium. The coefficients of thermal expansion are 23.6x106 1/K and 8.2x10-6 1/k. Obtain the relationship between the temperature and the vertical displacement at the point E. 6 mm 72 mm 36 mm D
The rigid bar of negligible weight is supported as shown in the figure. If W=60 kN, compute the resulting stress in the bronze rod when the tensile stress in the steel rod is 50 MPa. Use the following data: A (mm²) a (/°C) 11.7x10-6 E (GPa) Steel rod 300 200 Bronze rod 1400 18.9x10-6 83 Bronze | 3 m Steel 1.5 m →| 1.0 m |- 2.5 m +1.5 m→ W Select one: O a. 30.14 MPa O b. 18.08 MPa О с. 33.04 МРа o d. 24.11 MPа
Let's consider a rod having a solid circular cross-section with diameter of 5 mm and it is made of a material having a Young's modulus E = 200 Gpa and a Poisson's ratio of 0.3. If a tensile force F is subjected to that rod cross-section, the diameter becomes 4.995 mm. determine the applied force F. Select one: O F = 5236 N O F = 6283 N %3D O F= 13090N O F = 10472 N O F= 15708N OF=4189 N 9:22 PM EN ? 4/15/2021
1.4-7 The data shown in the table below were obtained from a tensile test of high-strength steel. The test specimen had a diameter of 13 mm and a gage length of 50 mm (see figure for Prob. 1.4-3). At fracture, the elongation between the gage marks was 3.0 mm and the minimum diameter was 10.7 mm. Plot the conventional stress-strain curve for the steefor the steel and determine the proportional limit, modulus of elastics of elastic- ity (i.e., the slope of the initial part of the stress-strain,tress-strain curve), yield stress at 0.1% offset, ultimate stress, percent, elongation in 50 mm, and percent reduction in area. 'ess, percent area. TENSILE-TEST DATA FOR PROB. 1.4-7 Elongation (mm) 0.005 0.015 0.048 Load (kN) 5 10 30 50 0.084 60 0.099 64.5 0.109 67.0 0.119 68.0 0.137 69.0 0.160 70.0 0.229 72.0 0.259 76.0 0.330 84.0 0.584 92.0 0.853 100.0 1.288 112.0 2.814 113.0 Fracture
The bar of the figure of length L is supported by rigid supports. Said bar undergoes a non-uniform temperature change, in such a way that the increase in temperature ∆T at a distance x from the end A is given by the expression ́n ∆T = ∆TBx3/L3, where ∆TB is the increase in temperature at end B. Calculate the compressive stress σc experienced by the bar. Assume that the material has a modulus of elasticity E and a coefficient of thermal expansion α.