At a temperature of 60°F, a 0.04-in. gap exists between the ends of the two bars shown. Bar (1) is an aluminum alloy [E = 10,000 ksi; v = 0.32; a = 12.3 × 10-6/°F] bar with a width of 3 in. and a thickness of 0.75 in. Bar (2) is a stainless steel [E = 28,000 ksi; v = 0.12; a = 8.9 x 10-6/°F] bar with a width of 2 in. and a thickness of 0.75 in. The supports at A and C are rigid. Determine the lowest temperature at which the two bars contact each other. (1) 3 in. 32 in. O 80.1°F O 118.6°F O 150.7°F 132.9°F O 110.9°F B ↑ 2 in. 44 in. 0.04-in. gap

At a temperature of 60°F, a 0.04-in. gap exists between the ends of the two bars shown. Bar (1) is an aluminum alloy [E = 10,000 ksi; v = 0.32; a = 12.3 × 10-6/°F] bar with a width of 3 in. and a thickness of 0.75 in. Bar (2) is a stainless steel [E = 28,000 ksi; v = 0.12; a = 8.9 x 10-6/°F] bar with a width of 2 in. and a thickness of 0.75 in. The supports at A and C are rigid. Determine the lowest temperature at which the two bars contact each other. (1) 3 in. 32 in. O 80.1°F O 118.6°F O 150.7°F 132.9°F O 110.9°F B ↑ 2 in. 44 in. 0.04-in. gap

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

At room temperature (20°C) a 0.5-mm gap exists between the ends of the rods shown. At what temp will the two rods just touch one another?
A copper rod with a diameter of 24 mm is subjected to tension within the elastic region. If themodulus of elasticity is 115 GPa and a Poisson’s ratio of 0.34. Determine the force that willproduce a reduction of 0.003 mm in the diameter.
The pin-connected structure shown consists of a rigid bar ABCD and two axial members. Bar (1) is steel [E = 200 GPa; a = 11.7 x 10-6/°C], with a cross-sectional area of A₁ = 400 mm². Bar (2) is an aluminum alloy [E = 70 GPa; a = 22.5 x 10-6/°C], with a cross-sectional area of A₂ = 400 mm². The bars are unstressed when the structure is assembled. After a concentrated load of P = 36 KN is applied and the temperature is increased by 25°C, determine (a) the normal stresses in bars (1) and (2). (b) the deflection of point D on the rigid bar. 350 mm 600 mm 900 mm (1) (2) A B 36 kN 720 mm D
A steel bar is heated from room temperature to 80oC while it is free to expand. The bar will therefore be subject to: A. compression B. tension C. no stress D. shear
Calculate Young's modulus for an iron crystal when tension is applied along [2 -2 1] direction. S11=7.6 (TPa)-', S12 = - 2.8 (TPa)-', S44 = 8.6 (TPa) -!
At a temperature of 60°F, a 0.04-in. gap exists between the ends of the two bars shown in the figure. Bar (1) is an aluminum alloy (E-10,000 ksi; u= 0,32; a= 12.5 x10°/°F] bar with a width of 3 in, and a thickness of 0.75 in. Bar (2) is a stainless steel |E-28,000 ksi; u=0.12; a=9.6x10°/°F] bar with a width of 2 in. and a thickness of 0.75 in. The supports at A and C are rigid. Determine the normal stress in bar (1) at a temperature of 450°F
1. The tensile strength vs. temperature curves of aluminum are plotted below. Explain the meaning of these two curves. 400 Ultimate strength 300 Yield strength 200 100 -200 -150 -100 -50 50 100 150 200 250 Temperature, °C Strength, kPa
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:
A component made of Aluminium 6061-T651 has an edge crack with length equal to 15 mm, as shown The yield stress of the material is oy = 280 MPa and its fracture toughness (Kic) ranges from 40 MN/m3/2 to 60 MN/m³/2 Consider now the same edge crack in a semi-infinite plate. Determine the critical stress to avoid fracture. P I I I I ← 15 mm P↓ 100 mm 30 mm
A uniform beam of weight Wis supported by the two rods, the lower ends of which are at the same level just before the beam is supported, as shown in figure. The ratio of the areas Aluminium (E = 70 GPa) 2 m 1.5 m W 3 m 3m Aaluminium Asteel Steel (E = 200 GPa) 0.5 m of the rods so that the beam will be horizontal after it is attached to the rods is
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?
At a temperature of 60°F, a 0.04-in. gap exists between the ends of the two bars shown. Bar (1) is an aluminum alloy [E = 10,000 ksi; v = 0.32; a = 12.5 x 10-6/°F] bar with a width of 3.0 in. and a thickness of 0.75 in. Bar (2) is a stainless steel [E = 28,000 ksi; v = 0.12; a = 9.6 x 10-6/°F] bar with a width of 2.0 in. and a thickness of 0.75 in. The supports at A and C are rigid. Determine (a) the lowest temperature at which the two bars contact each other. (b) the normal stress in the two bars at a temperature of 250°F. (c) the normal strain in the two bars at 250°F. (d) the change in width of the aluminum bar at a temperature of 250°F. (1) 3.0 in. 32 in. 2.0 in. B ↓ (2) 44 in. 0.04-in. gap Determine the lowest temperature, Tcontact, at which the two bars contact each other.