A rod consisting of two cylindrical portions AB and BC is restrained at both ends.Portion AB is made of steel (E, =29x106 psi,as=6.5x106/F) and portion BC is made of aluminum (E, =10.4x10° psi,d a=13.33x10-6/F). Knowing that the rod is initially unstressed, determine the normalstresses induced in portions AB by a temperature rise of 110F. Answer in ksi.+ 24 in. --32 in.-AВ2--in. diameter1-in. diameter

Answered: Image /qna-images/answer/9969af63-6bb9-4116-ae98-c1304578bc13.jpg

A rod consisting of two cylindrical portions AB and BC is restrained at both ends. Portion AB is made of steel (E, =29x106 psi, as =6.5x10-6/F) and portion BC is made of aluminum (E, =10.4x10 psi, =13.33x10-6/F). Knowing that the rod is initially unstressed, determine the normal stresses induced in portions AB by a temperature rise of 110F. Answer in ksi. 24 in. 32 in. | A В C 2-in. diameter 15-in. diameter

A rod consisting of two cylindrical portions AB and BC is restrained at both ends. Portion AB is made of steel (E, =29x106 psi, as =6.5x10-6/F) and portion BC is made of aluminum (E, =10.4x10 psi, =13.33x10-6/F). Knowing that the rod is initially unstressed, determine the normal stresses induced in portions AB by a temperature rise of 110F. Answer in ksi. 24 in. 32 in. | A В C 2-in. diameter 15-in. diameter

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

In a laboratory test of a beam loaded by end couples, the fiber at layer AB as shown -3 are found to increase 50 x 10°mm while those at CD decrease 70 x 10 mm in the 270-mm-gage length. Using E - 190 GPa, determine the flexural stress at the top fiber. Answer must be in MPa. Given: a= 50 mm, b= 140 mm, and c = 70 mm. !3! gage length a mm b mm C mm
Q5) The wooden block shown in Figure (4) will fail if the shear stress acting along the grain is (3.85 MPa). If the normal stress (d, = 2.8 MPa), determine the necessary compressive stress (a) that will cause failure. Figure (4)
Problem #2 (5 points): Fig. 2 shows aluminum hollow rods (outer diameter is 2 in. and inner diameter is 1.5 in.) that are fixed to rigid walls. The gap between the rods is 0.005 in when the temperature is 60°E. If the temperature is 200°F, what is the stress in each rod? aai = 13 x 10/F, Eai = 12 x 10 ksi %3D 0.005 in. .8 in. Fig. 2 Page | 1
C. A rigid steel bar is suspended horizontally by 1m steel rod at one end and 2m bronze rod at the other end as shown. Neglecting the mass of the steel bar, at what distance X (in meters) from the steel rod should a 20 kN force be placed so that the steel bar will remain horizontal? Also, calculate the stresses in steel and bronze rod (in MPa). Use the following data. Steel, st Bronze, Br Br. 2m 20000 N Area (mm²) 600 300 St. 1m -X- E(GPa) 200 83 10 m
The compound shaft shown consists of aluminum segment (1) and steel segment (2). Aluminum segment (1) is a tube with an outside diameter of D₁ = 4.15 in., a wall thickness of t₁ = 0.25 in., and a shear modulus of G₁ = 4,000 ksi. Steel segment (2) is a tube with an outside diameter of D₂ = 2.00 in., a wall thickness of t₂ = 0.125 in., and a shear modulus of G₂ = 12,000 ksi. The compound shaft is subjected to torques applied at B and C as shown. Determine the rotation angle of C with respect to the support at A. (1) 9 ft -0.0343 rad -0.0429 rad -0.0259 rad -0.0320 rad O-0.0460 rad 1,700 lb-ft B (2) 6 ft 650 lb-ft
SIMPLE STRAIN
Q2/ the structure shown below, support from fix at the left , the max normal at bronze =200 MPA, Find area of bronze , normal stress at both steel and aluminum 10 KN Steel Aluminum, A= 100mm? A=200mm? Bronze, A=? 8 KN 5 KN 5 KN 3m 2m 1 m
Axial loads are applied with rigid bearing plates to the solid cylindrical rods shown in the figure. One load of P=34 kips is applied to the assembly at A, two loads of Q=25 kips are applied at B, and two loads of R=37 kips are applied at C. The normal stress magnitude in aluminum rod (1) must be limited to 16 ksi. The normal stress magnitude in steel rod (2) must be limited to 32 ksi. The normal stress magnitude in brass rod (3) must be limited to 24 ksi. Determine the minimum diameter (in in rounded to the nearest thousandths) required for rod 2.
A circular aluminum alloy [E = 70 GPa; a = 22.5 × 10-6/°C; v = 0.33] pipe has an outside diameter of 215 mm, a wall thickness of 12 mm, and a length of 4.3 m. The pipe supports a compressive load of 695 kN. After the temperature of the pipe drops 43°C, determine: (a) the axial deformation of the pipe. (b) the change in diameter of the pipe. Answer: (a) ō = i AD = i mm mm
please box the final answer
A typical aluminum-alloy scuba diving tank is shown in the figure. The outside diameter of the tank is 150mm and the wall thickness is 9mm. If the air in the tank is pressurized to 15.2MPA, determine: (a) the longitudinal and hoop stresses in the wall of the tank. (b) the maximum shear stress in the plane of the cylinder wall. (c) the absolute maximum shear stress on the outer surface of the cylindrical wall. Answers: (a) Ojong = i MPa Onoop = MPa (b) Tmax i MPa (c) Tabs max = MPa i
The compound shaft shown consists of aluminum segment (1) and steel segment (2). Aluminum segment (1) is a tube with an outside diameter of D₁ = 3.80 in., a wall thickness of t₁ = 0.25 in., and a shear modulus of G₁ = 4,000 ksi. Steel segment (2) is a tube with an outside diameter of D₂ = 1.60 in., a wall thickness of t₂ = 0.125 in., and a shear modulus of G₂ = 12,000 ksi. The compound shaft is subjected to torques applied at B and C as shown. Determine the rotation angle of C with respect to the support at A. (1) 9 ft -0.0793 rad O -0.1090 rad O -0.1496 rad O -0.1174 rad O-0.0909 rad 1,700 lb-ft B (2) 6 ft 650 lb-ft C X