The axial assembly consists of a solid 1.03-in.-diameter aluminum alloy [E = 9700 ksi, v = 0.24, a = 13.3 x 10-6/°F] rod (1) and a solid 1.45-in.-diameter bronze [E = 14100 ksi, v=0.12, a = 8.5 x 10-6/°F] rod (2). Assume L₁=12 in., L2=28 in. If the supports at A and C are rigid and the assembly is stress free at 19°F, determine: (a) the normal stresses 01, 02 in both rods at 144°F (positive if tensile, negative if compressive). (b) the displacement ug of flange B (positive if to the right, negative to the left). (c) the change in diameter Ad, of the aluminum rod. Answers: (a) o₁ = (b) UB= (c) Ad₁ = (1) L₁ i 22.197 -0.0075 i B 0.00041 in. L2 (2) ksi, O₂ = i in. 11.199 ksi

The axial assembly consists of a solid 1.03-in.-diameter aluminum alloy [E = 9700 ksi, v = 0.24, a = 13.3 x 10-6/°F] rod (1) and a solid 1.45-in.-diameter bronze [E = 14100 ksi, v=0.12, a = 8.5 x 10-6/°F] rod (2). Assume L₁=12 in., L2=28 in. If the supports at A and C are rigid and the assembly is stress free at 19°F, determine: (a) the normal stresses 01, 02 in both rods at 144°F (positive if tensile, negative if compressive). (b) the displacement ug of flange B (positive if to the right, negative to the left). (c) the change in diameter Ad, of the aluminum rod. Answers: (a) o₁ = (b) UB= (c) Ad₁ = (1) L₁ i 22.197 -0.0075 i B 0.00041 in. L2 (2) ksi, O₂ = i in. 11.199 ksi

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter1: Tension, Compression, And Shear

Section: Chapter Questions

Problem 1.4.9P: Two steel wines support a moveable overhead camera weighing W = 28 lb (see figure part a) used For...

See similar textbooks

Similar questions

In dead weight tester, the applied load is 0.017 kN, theoretical pressure is 150 kPa. Then the area of cylinder is approximately ___________. A. 1.13 x 10-3 mm2 B. 1.13 x 10-4 mm2 C. 113 cm2 D. 113 mm2
Verify if my answers are correct: P =1000 N Q =1300 N C =216000 N.mm
MN = 48 SN = 79 (1&3) with thickness of 7.5mm
given: - initial length of steel tube= 200mm - aluminum rod is 0.175 mm shorter than steel tube. - l=0.175 mm properties of materials - ALUMINUM: coefficient of linear expansion: 23x10-6 /C modulus of elasticitty= 70 GPa - STEEL Coeficient of linear expansion: 11x10-6 /C Modulus of elasticity: 200 GPa *NEGLECT SHEAR AND LATERAL DEFORMATIONS. REQUIRED: - which of the two members will have contact on the rigid switch first and at what temperature - axial stress that would develop on 1st member after the 2nd material fills in the gap safely. PLS. SHOW FULL SOLUTIONS WITH BRIEF EXPLANATIONS AND NECESSARY DIAGRAMS...
F=800N, d=1.00m, e=2.00m, f=1.90m
A steel pipe has an inside diameter of d = 350 mm and an outside diameter of D = 158 mm. The length of the pipe is L = 5.0 m. The changes in dimension caused by an increase in temperature of 80°C for the: Outside diameter __ mm Inside diameter __ mm Lenght __ mm 3 decimal places standard coefficient of thermal expansion: steel - 11.25x10^-6 / degrees celcius Aluminum - 23x10^-6 / degrees celcius
Two steel wines support a moveable overhead camera weighing W = 28 lb (see figure part a) used For close-up to viewing of field action at sporting, events. At some instant, wire I is at an angle a = 22° to the horizontal and wire 2 is at angle fi = 40°. Wires I and 2 have diameters of 30and 35 mils, respectively. (Wire diameters are often expressed in mils; one mil equals 0.001 in.) (a) Determine the tensile stresses s and s2 in the two wires. (b) If the stresses in wires 1 and 2 must be the same, what is the required diameter of wire 1 ? (c) To stabilize the camera for windy outdoor conditions, a third wire is added (see figure part b). Assume the three wires meet at a common point coordinates (0, 0. 0) above the camera at the instant shown in figure part b. Wire I is attached to a support at coordinates (75 ft, 48 ft, 70 Ft). Wire 2 is supported at (-70 ft. 55 ft, 80 Ft). Wire 3 is supported at (-10 ft. -85 Ft, 75 ft). Assume that all three wires have a diameter of 30 mils. Find the tensile stresses in all three wires
The pressure in a cast-iron water pipe is 180 psi. If the inside diameter of the pipe is 15 in. and the allowable unit stress in tension is 2000 psi, what should be the thickness of a shell of the pipe, expressed as a multiple of 1/8 in. A. 3/4 in. B. 5/8 in. C. 1/2 in. D. 3/8 in.
1. A cable used to lift heavy materials can resist breaking even under a load of 1 meganewtons. The steel cable must support twice that load for safety purposes. By how much the steel cable will stretch if it carries 1 meganewtons of load? Assume 8.0 m initial length of the cable. 2. Ships and sailing vessels often carry lead ballast in various forms, such as bricks, to keep the ship properly oriented and upright in the water. Suppose a ship takes on cargo and the crew jettisons a total of 0.500 m3 of lead ballast into water 2 000 m deep. Seawater's density is equal to 1.025 g/cc while lead's bulk modulus equals to 42.0 GPa. Calculate the weight of water in a column with cross section of 1.00 m2. Find the change in the pressure at 2.0 km depth. Find the change in the volume of the lead at 2.0 km depth.
A spring has an unstretched length of 600 mm. If it was stretched by 400 mm, the work done is 800 Joules. What is the stiffness of the spring? A) 100 N/m B) 10 KN/m C) 1000 N/m D) 1 KN/m
The figure shows a sign hanging from a beam anchored to a wall by two cables. In an element of the beam, the stress tensor has been measured, resulting in the following values σxx = 2250 [psi], σyy = 1175 [psi] and ???=−820 [psi]. Q) It is known that σcreep= 2000 [psi]. Is it possible that the beam could fail? Apply the von mises and tresca criteria
1. Most bridges contain interlocking steel grates (α steel = 1.2 x 10 - 5 ºC -1 ) that allow the bridge toexpand and contract with the changes in temperature. The Golden Gate Bridge in San Francisco isabout 1350 meters long.(A) The seasonal temperature variation in San Francisco ranges from about 0ºC to 30ºC. Howmuch will the bridge expand between these two extremes?(B) What percent of the length of a subcompact automobile, 2.5 meters, does this gaprepresent?2. Selena has a fire in her fireplace to warm her 20ºC apartment. She realizes that she hasaccidentally left the iron poker (α iron = 1.2 x 10 -5 ºC -1 ) in the fire. How hot is the fire if the 0.60-meter poker lengthens 0.30 cm?3. Just before midnight, when the air temperature of 10.0ºC, Karl stops and fills the 0.0600 m 3 gastank in his car. At noon the next day, when the temperature has risen to 32ºC, Karl finds a puddle ofgasoline (βgas = 3 x 10 -4 ºC -1 ) beneath his car.(A) How much gasoline spilled out of Karl's car?…