Two composite bars have the following composition. At an initial temperature of 5 degree C. there is an existing gap of 5mm. Bar 1 and 2 have coefficients of thermal expansion of a = 140 X106/C and a2 = 67 X106/°C, respectively. Determine the temperature at which the 5mm gap is closed. GAP (1) (2) B A 540 mm 360 mm

Two composite bars have the following composition. At an initial temperature of 5 degree C. there is an existing gap of 5mm. Bar 1 and 2 have coefficients of thermal expansion of a = 140 X106/C and a2 = 67 X106/°C, respectively. Determine the temperature at which the 5mm gap is closed. GAP (1) (2) B A 540 mm 360 mm

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

A composite beam is made of two brass [E = 97 GPa] plates bonded to an aluminum [E = 72 GPa] bar, as shown. The beam is subjected to a bending moment of 2420 N-m acting about the z axis. Assume b=64 mm, d1=36 mm, d2=13 mm. Determine: (a) the maximum bending stresses opy,Gal in the brass plates and the aluminum bar. (b) the stress in the brass obrj at the joints where the two materials are bonded together. Brass (2) d2 Aluminum (1) Brass (2) dz b Answers: (a) obr = i MPa, oal = i MPа. (b) Obrj MPa.
A steel component is subjected to alternate cyclical loading. The steel follows Basquin's law for high cycle fatigue, o, x N = C, (where the stress amplitude is in MPa). Ignore the geometric detail and assume that Marin's modifying factors are all equal to 1. You are given the minimum stress ain = -213 MPa, the maximum stress omax = 213 MPa. The material data are Tensile strength oUTS = 539 MPa, Basquin's constant c, = 875 MPa, Basquin's exponent a = 0.085. a) Calculate the stress ratio R, the stress amplitude o, in MPa and the mean stress am in MPa. The answers are acceptable with a tolerance of 0.01 for R and of 1 MPa the stresses. R: MPa MPа b) Calculate the corresponding life, in 10° cycles, (tolerance of 0.1 106 cycles) N :
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
3 For a composite bar as shown below, what is the relation between axial deformation and thermal deformations in the bar? Cu tube (1) Steel bar (2) D d- Where, o,, o, = stresses in Cu and steel bar respectively. Coefficient of thermal expansion for Cu and steel bar respectively.
The composite bar is firmly attached to unyielding supports. The bar is stress-free at 50°F. Compute the stress in each material after the 80-kip force is applied and the temperature is increased to 100°F. Use a = 6.5 x106/°F for steel and a = 12.8 x106/°F for aluminum. Aluminum A = 2 in.² E = 10 x 106 psi 15 in. Steel A = 3 in.2 E = 29 × 106 psi 80 kips 10 in.
If the material is graphite for which Eg = 800 ksi and vg = 0.23, determine the principal strains.
2
The following information about the o-e curve is given for a steel alloy. E = 0.001527 at o = 300 MPa and ɛ = 0.003054 for o = 600 MPa. (a) Draw the stress-strain diagram and calculate the E for this alloy.
A sheet of aluminum is stretched in the xy-plane. If the strains in the sheet are ϵx = 0.3 x10-3 and ϵy = 0.25 x10-3, compute σx and σy. Use E = 110 GPa and v = 0.35.
An extruded polymer beam is subjected to a bending moment M. The length of the beam is L = 580 mm. The cross-sectional dimensions of the beam are b1 = 33 mm, d1 = 112 mm, b2 = 20 mm, d2 = 20 mm, and a = 6.5 mm. For this material, the allowable tensile bending stress is 15 MPa, and the allowable compressive bending stress is 13 MPa. Determine the largest moment M that can be applied as shown to the beam. b2 a a M d2 A B bị
3-3. Data taken from a stress-strain test for a ceramic are given in the table. The curve is linear between the origin and the first point. Plot the diagram, and determine approximately the modulus of toughness. The rupture stress is or = 53.4 ksi.