A cylindrical bronze sleeve (2) is held in compression against a rigid machine wall by a high-strength steelbolt (1), as shown in the figure. The steel [E = 200 GPa; a = 11.7 x 106/°C] bolt has a diameter of 29 mm.The bronze [E = 100 GPa; a = 22.0 x 106/°C] sleeve has an outside diameter of 74 mm, a wall thicknessof 8 mm, and a length of L = 390 mm. The end of the sleeve is capped by a rigid washer with a thicknessof t = 5 mm. At an initial temperature of T₁ = 14°C, the nut is hand-tightened on the bolt until the bolt,washers, and sleeve are just snug, meaning that all slack has been removed from the assembly, but no stresshas yet been induced. If the assembly is heated to T2 = 59°C, calculate the normal stress (positive if tensileand negative if compressive) in the bronze sleeve. Answer in MPa rounded-off to 2 decimal places.

Step 1: Determine the coefficient of thermal expansion (α) of the steel bolt α = 11.7 x 10-6/°C Step…

A cylindrical bronze sleeve (2) is held in compression against a rigid machine wall by a high-strength st olt (1), as shown in the figure. The steel [E = 200 GPa; a = 11.7 x 106/°C] bolt has a diameter of 29 m The bronze [E = 100 GPa; a = 22.0 x 10-6/°C] sleeve has an outside diameter of 74 mm, a wall thickn f 8 mm, and a length of L = 390 mm. The end of the sleeve is capped by a rigid washer with a thickn ft 5 mm. At an initial temperature of T₁ = 14°C, the nut is hand-tightened on the bolt until the b washers, and sleeve are just snug, meaning that all slack has been removed from the assembly, but no str as yet been induced. If the assembly is heated to Ta 59°C calculate the normal stress (positive if ton =

A cylindrical bronze sleeve (2) is held in compression against a rigid machine wall by a high-strength st olt (1), as shown in the figure. The steel [E = 200 GPa; a = 11.7 x 106/°C] bolt has a diameter of 29 m The bronze [E = 100 GPa; a = 22.0 x 10-6/°C] sleeve has an outside diameter of 74 mm, a wall thickn f 8 mm, and a length of L = 390 mm. The end of the sleeve is capped by a rigid washer with a thickn ft 5 mm. At an initial temperature of T₁ = 14°C, the nut is hand-tightened on the bolt until the b washers, and sleeve are just snug, meaning that all slack has been removed from the assembly, but no str as yet been induced. If the assembly is heated to Ta 59°C calculate the normal stress (positive if ton =

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

SITUATION. A steel plate ABCD of thickness t = 5mm is subjected to uniform stresses: = 100 MPa 0₂ = -60 MPa. Ox E =200GPa, v= 1/3 a = 160mm and b = 200 mm Calculate the change in thickness (mm). -0.0023 mm 0.0023 mm O O 0.0045 mm - 0.0045 mm Ł B AL C D X
2) A solid rod with the given dimension shown in Fig. Axial loads are applied at the positions indicated. Find the f a) The max Compressive stress in the system P-60 kN Aluminum A=400 mm b) The max Tensile stress in the system P-60 kN Steel A = 500 mm² Bronze A-200 mm² 4P 2.5 m 1.5 m 2.0 m 2P
2.65 The rigid bar of negligible weight is pinned at O and attached to two vertical rods. Assuming that the rods were initially stress-free, what is the largest load P that can be applied without exceeding stresses of 150 MPa in the steel rod and 70 MPa in the bronze rod?
A polymer cylinder (2) is clamped between rigid heads by two steel bolts (1). The steel [E = 29,000 ksi; a = 6.5×10-6/°F] bolts have a diameter of 0.50 in. The polymer [E = 380 ksi; a = 39.7x 10-6/°F] cylinder has an outside diameter of 7.0 in. and a wall thickness of 0.40 in. Assume a = 22 in. and b = 30 in. If the %3D temperature of this assembly changes by AT = 125°F, determine: (a) the normal stress in the polymer cylinder. (b) the normal strain in the polymer cylinder. (c) the normal strain in the steel bolts. |(1) (2) C а (1) b. Answer:
Help me
The 10-mm-diameter steel bolt is surrounded by a bronze sleeve. The outer diameter of this sleeve is 20 mm, and its inner diameter is 10 mm. If the yield stress for the steel is (ay) MPa, and for the bronze (ay)or 520 MPa, determine the magnitude of the largest elastic load P 640 that can be applied to the assembly. E 200 GPa, Ebr= 100 GPa. 10 mm 20 mm Figure 2: Steel Bolt
Axial loads are applied to the compound rod that is composed of an aluminum segment rigidly connected between steel and bronze segments. What is the stress in each materials given that P = 10kN?
two rods attached to a rigid bar AB with negligible mass . A 101 kN load was applied at the end of this bar. The computed stresses for steel and bronze are Blank 1 mPa and Blank 2 mPa respectively.
A brass bar is fastened between a steel bar and an aluminum bar as shown in the figure. Axial loads are applied at the positions indicated. Find the largest value of P (kN) that will not exceed the maximum stresses are: 140 MPa in the steel, 120 MPa in the brass and 80 MPa in the aluminum. [Round off your final answer to 2 decimal places] Steel Brass A = 480 mm A = 650 mm? Aluminum A = 320 mm? 3P 4P 2P 1.0 m 2.0 m 1.5 m
#2 will upvote to anyone who will answer
Steel, Brass, and Copper rods are connected as shown in the figure. Initially, the temperature was 15 degrees Celsius and the stress on the bars is zero. Eventually, the temperature increased to 25 degrees Celsius. Determine the total deformation on the brass. Steel Brass Copper Est = 200 GPa 12(10-)/°C apr Ebr Ecu 17(10-)/°C 120 GPa 100 GPa %3D ast = 21(10-6)/°C acu Acu = 515 mm? |Ast 200 mm2 Abr = 450 mm2 300 mm -200 mm 100 mm O -0.0109mm O 0.0241mm O -0.0241mm O 0.0109mm oooO
In the figure shown, the AB part of the rod is made from brass while the BC part is fabricated from aluminium, both parts are restrained at the ends. Find: 1) The normal stresses oAB and OBC + when the temperature is increased to 42°C. 2) The deflection at point B (SB) Brass: ab=20.9*10-6 1/°C, Eb=105GPA Aluminum: aal=23.9*10-6 1/°C, Eal=72GPA 60 mm diameter A 1.1 m B 40 mm diameter 1.3 m C Aluminum Brass