250 mm2 AT = 170°C 120 GPa 19.7 x10/°C 3500 mm 250 mm2 (1) 40 GPa _500 mm 1500 mm 21.7 x106/°C (2) (2) P= 35 kN A rigid horizontal bar ABC is supported by three vertical rods (properties given). The system is stress free before the load is applied. After the load kN P is applied, the temperature of all three rods is raised by the indicated AT. Determine: 02 MPa • the internal force in rod (1) • the normal stress in rod (2) • the normal strain in rod (1) • the downward deflection of the rigid bar at B E1 HE mm 2nd 3rd Enter 1st += tension attempt compression I| || || I| |||| Rod properties

250 mm2 AT = 170°C 120 GPa 19.7 x10/°C 3500 mm 250 mm2 (1) 40 GPa _500 mm 1500 mm 21.7 x106/°C (2) (2) P= 35 kN A rigid horizontal bar ABC is supported by three vertical rods (properties given). The system is stress free before the load is applied. After the load kN P is applied, the temperature of all three rods is raised by the indicated AT. Determine: 02 MPa • the internal force in rod (1) • the normal stress in rod (2) • the normal strain in rod (1) • the downward deflection of the rigid bar at B E1 HE mm 2nd 3rd Enter 1st += tension attempt compression I| || || I| |||| Rod properties

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 1.4.10P: A long re Lai nine: wall is braced by wood shores set at an angle of 30° and supported by concrete...

See similar textbooks

Similar questions

A hollow, circular, cast-iron pipe (Ec =12,000 ksi) supports a brass rod (Ec= 14,000 ksi} and weight W — 2 kips, as shown. The outside diameter of the pipe is dc= 6 in. (a) If the allowable compressive stress in the pipe is S00O psi and the allowable shortening of the pipe is 0.02 in., what is the minimum required wall thickness trmm? (Include the weights of the rod and steel cap in your calculations.) (b) What is the elongation of the brass rod Srdue to both load Wand its own weight? (c) What is the minimum required clearance h?
An aluminum bar has length L = 6 ft and diameter d = 1.375 in. The stress-strain curse for the aluminum is shown in Fig. 1.34. The initial straight, line part of the curve has a slope (modulus of elasticity) of 10.6 × 106 psi. The bar is loaded by tensile forces P = 44.6 k and then unloaded. (a) That is the permanent set of the bar? (b) If the bar is reloaded. what is the proportional limit? hint: Use the concepts illustrated in Figs. l.39b and 1.40.
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?
The assembly shown in the figure consists of a brass core (diameter d:= 0.25 in.) surrounded by a steel shell {inner diameter d2= 0.23 in., outer diameter di= 0.35 in.}. A load .P compresses the core and shell that both have a length L = 4.0 in. The module of elasticity of the brass and steel are Eb=15 X 10fi psi and Es= 30 X 10fi psi, respectively. (a) What load P will compress the assembly by 0.003 in? (b) IF the allowable stress in the steel is 22 ksi and the allowable stress in the brass is 16 ksi. what is the allowable compressive load Pallow? (Suggestion: Use the equations derived in Example 2-8.)
Two sections of steel drill pipe, joined by bolted flange plates at Ä are being tested to assess the adequacy of both the pipes. In the test, the pipe structure is fixed at A, a concentrated torque of 500 kN - m is applied at x = 0.5 m, and uniformly distributed torque intensity t1= 250 kN m/m is applied on pipe BC. Both pipes have the same inner diameter = 200 mm. Pipe AB has thickness tAB=15 mm, while pipe BC has thickness TBC= 12 mm. Find the maximum shear stress and maximum twist of the pipe and their locations along the pipe. Assume G = 75 GPa.
Solve the preceding problem for the following data: diameter LO m, thickness 48 mm, pressure 22 MPa, modulus 210 GPa. and Poisson's ratio 0.29
A slightly tapered bar AB of solid circular crass section and length L is supported at end B and subjected to a tensile load P at the free end A. The diameters of the bar at ends A and B are dAand dB. respectively. Determine the length of the bar if the elongation of the bar due to the load P = 45 kips is 0.02 in. Assume that E = 10,400 ksi.
A steel riser pipe hangs from a drill rig located offshore in deep water (see figure). (a) What is the greatest length (meters) it can have without breaking if the pipe is suspended in the air and the ultimate strength (or breaking strength) is 550 MPa? (b) If the same riser pipe hangs from a drill rig at sea, what is the greatest length? (Obtain the weight densities of steel and sea water from Table M, Appendix I. Neglect the effect of buoyant foam casings on the pipe.)
A W410 × S5 steel column is compressed by a force P = 340 kN acting with an eccentricity e = 38 mm, as shown in the figure. The column has pinned ends and a length L. Also, the steel has a modulus of elasticity E = 200 GPa and yield stress y= 250 MPa. P = 340 kN If the length L = 3 m, what is the maximum compressive stress maxin (he column? If a factor of safety n =2.0 is required with respect to yielding, what is the longest permissible length Lmaxof the column?
A bar AB of length L and weight density y hangs vertically under its awn weight (see figure). The stress-strain relation forth? Material is given by the Romberg-Osgood equation [Eq. (2-71)]: Derive the formula For the elongation of the bar.
Solve the preceding problem for a W 250 × 89 steel column having a length L = 10 m. Let E = 200 GPa.
A rigid bar of weight W = SOO N hangs from three equally spaced vertical wines( length L = 150 mm, spacing a = 50 mm J: two of steel and one of aluminum. The wires also support a load P acting on the bar. The diameter of the steel wires is ds= 2 mm, and the diameter of the aluminum wire is d = A mm. a Assume £,=210 GPa and EB« 70 GPa. What load Pallowcan be supported at the mitl-point of the bar (x = a) if the allowable stress in the steel wires is 220 MPa and in the aluminum wire is 80 MPa? (See figure part (b) What is /*,Ikw» if the load is positioned at .v = all1? (See figure part a.) (c) Repeat part (b) if the second and third wires are switched as shown in the figure part b.