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 = 13.4 x 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 = 10.1 x 10-6/°F] bar with a width of 2 in. and a thickness of 0.75 in. The supports at A and Care rigid. Determine the lowest temperature at which the two bars contact each other. (1) ↑ 3 in. 32 in. O 75.9°F O 146.5°F O 105.8°F O 122.3°F O 111.3°F 2 in. (2) 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 = 13.4 x 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 = 10.1 x 10-6/°F] bar with a width of 2 in. and a thickness of 0.75 in. The supports at A and Care rigid. Determine the lowest temperature at which the two bars contact each other. (1) ↑ 3 in. 32 in. O 75.9°F O 146.5°F O 105.8°F O 122.3°F O 111.3°F 2 in. (2) 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

Related questions

Q: At a temperature of 60°F, a 0.04-in. gap exists between the ends of the two bars shown. Bar (1) is…

A: Initial temperature (Ti) = 60°F Bar-1: Width of bar1 = 3 in. Thickness of bar1 = 0.75 in. L1 = 32…

Q: For the two element rod shown, element (1) is steel with: E₁ = 210 GPa, A₁ = 1000 mm², L₁= 2 m, and…

A: Given A two element rod having temperature increase of 100 °c Required Stress in both rod…

Q: Rigid

Q: The typical Young's modulus of steel is A 275-310 GPa B 145 - 170 GPa c) 195 - 210 GPa D) 225 - 240…

Q: A 300 mm Long copper wire of uniform cross-section is pulled in tension so that a maximum tensile…

A: Given that :- Maximum tensile stress = σ = 270 MPa Length = L = 300 mm Modulus of elasticity = E =…

Q: A tensile force of 5 kN produce an elastic reduction in diameter of 4 x 10-4 mm on a metal alloy…

A: given data: Force (F)=5 KNdiameter (d)=6 mmreduction in diameter(∆d)=4×10-4 mm

Q: Two uniform spheres are positioned as shown. Determine the gravitational force F which the titanium…

Q: A laminated [0/90/0/90]s graphite/epoxy beam is 1 mm thick, is 20 mm wide, and has 0.125 mm thick…

A: Given;t = 1 mm = 10-3 mw = 20 mm = 20d' = 0.125 mm =0.125E1 = 180 GpaE2 = 10 Gpaν12 = 0.28 G12 = 7…

Concept explainers

Alloys

An alloy is an admixture of two or more metals or a metal and a non-metal. Since ancient times, man has been using alloys. Alloying helps to retain the properties of the parent matter, such as hardness, strength, toughness, ductility and is corrosion-resistant. Copper alloys such as brass have antimicrobial properties that help to fight against (Coronavirus disease 2019) COVID-19 and other hospital-acquired infections. Some common alloys are brass, bronze, solder steel, etc. Most alloys have a lower melting point than their constituents. This is due to the presence of a nonmetal as one of the constituents that behaves as an impurity and restricts the raise of melting point.

Question

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 = 13.4 x 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 = 10.1 x
10-6/°F] bar with a width of 2 in. and a thickness of 0.75 in. The supports at A and Care rigid. Determine the lowest temperature at
which the two bars contact each other.
(1)
↑
3 in.
32 in.
O 75.9°F
O 146.5°F
O 105.8°F
O 122.3°F
O 111.3°F
2 in.
(2)
44 in.
-0.04-in. gap

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

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
SITUATION. As shown in the figure below, a rigid bar with negligible mass is pinned at O and attached to two vertical rods. Assume that the rods were initially stress-free. Allowable stress in steel is 120 MPa and in bronze is 60 MPa. For this problem, a = 1.8m; b = 1.3m; c= 1.7m. a b C P Steel: A-900 mm² Bronze: A=1200 mm² E = 83 GPa L=2.0 m E = 200 GPa L=1.5m What is the value of P without exceeding the allowable stress of bronze, in kN? O 161 O 174 O 145 124 4
#2 will upvote to anyone who will answer
If it is constrained between two supports A and B and is stress-free at 20 ℃, what would be the stress in the two materials when it is heated to 70 ℃, For Steel: Es = 210 GPa, Coefficient of expansion = 12x10^6/℃. For Brass: Eb = 105 GPa, Coefficient of expansion = 19x10^-6/℃
16) Which of the following mechanical properties can be measured / calculated from this tensile stress-strain graph of a generic metal alloy? (pick all that apply) a. Poisson's ratio b. Elastic modulus C. Shear modulus d. Flexural modulus e. Fracture toughness 17) Interstitial sites in a FCC lattice are called a. Rhombohedral and cubic b. Cubic and hexagonal C. Monoclinic and triclinic Stress (MPa) 2000 MPa 2000 1000 1000 0.000 0.005 0.010 0.015 Strain 0.000 0.020 0.040 Strain 0.060 0.080 d. Tetrahedral and octahedral e. Heterogeneous and homogeneous 18) Traditional photovoltaics rely on which structural feature to separate charge carriers? a. The p-n junction b. The grain boundaries C. The twin boundaries d. The electron-hole pair e. The band gap 19) The process by which lithium ions move in to and out of graphite in a lithium-ion battery is called a. Intercalation b. Stacking C. Precipitation d. Phase combination e. lonization 20) A polymer obtained by the polymerization of two types…
After an inspection it is found that a structural ceramic part has no flaws greater than 100 micrometers in size, calculate the maximum service stress (in MPa) available with SiC. Assume that Y= 1
A mild steel flat of width 120 mm and thickness 10 mm is bent into an arc of a circle of radius 10 m by applying a pure moment 'M'. If E is 200 GPa, then magnitude of the pure moment 'M' will be
Knowing that a 0.02in gap exists when the temperature is 75°F, determine (a) the temperature at which the normal stress in the aluminum bar will be equal to -11ksi, (b) the corresponding exact length (2 decimal places in 103 inches) of the aluminum bar. 0.02 in. 14 in. Bronze A = 2.4 in² E = 15 × 106 psi a = 12 x 10-6/°F 18 in. Aluminum A = 2.8 in² E = 10.6 × 106 psi a = 12.9 x 10-6/°F