Problem 1: Axial Stress & Deformation
An assembly consists of 2014-T6 aluminum C rods AB and CD, and a rigid plate BD, each with the given dimensions. If the assembly is subjected to the external loads as shown, determine the displacement, δE. Also determine the new diameter, dAB, after loading.
![1348_Figure.jpg](https://secure.tutorsglobe.com/CMSImages/1348_Figure.jpg)
You may assume that points B, D, and E all move only in the vertical direction.
Use the following parameters:
dAB = 10 mm, dCD =12 mm, L1 = 300 mm, L2 400 mm, L3 = l00 mm, P = 5 kN, w = 30N/mm
Problem 2: Stress Concentration Factors & Factors of Safety
The plate shown has the geometry listed below, and a thickness, t. If it is machined from A-36 structural steel determine the magnitude of the maximum safe load P if we are designing for a factor of safety of 2 against yielding.
![2004_figure1.jpg](https://secure.tutorsglobe.com/CMSImages/2004_figure1.jpg)
Let:
t = 5 mm, h1 = 50 mm, h2 = 25 mm, dh, = 10 mm, rf= 20 nun, L1 = 100 mm, L2= 150 min
Problem 3: Average Shear Stress
A lap joint is constructed as shown above with 2 rivets holding together the 5 plates shown. Determine the required diameter, dreq, to the nearest 1/8", of each rivet if the stack of plates is in equilibrium. Take P = 1.5Q= 1000 lb and assume that the rivets are manufactured from 2014-16 aluminum. Also take the thickness of each plate to be 1/2". Make sure and draw a free body diagram of the entire bolt, as well as the section free body diagram you use to determine the average shear stress in the bolt.
![2223_Figure2.jpg](https://secure.tutorsglobe.com/CMSImages/2223_Figure2.jpg)
Problem 4: Mechanical Properties
For the stress-strain diagram shown, determine approximately the following parameters (show your work where applicable):
a) Elastic Modulus
b) Ultimate Tensile Strength
c) Yield Strength
d) Strain at Failure
e) Proportional Limit
![189_figure3.jpg](https://secure.tutorsglobe.com/CMSImages/189_figure3.jpg)
Bonus Determine the permanent strain for a material with the stress-strain response shown below loaded to 10.8x103 ksi and then unloaded.
Take: σ1 = 10x103 ksi, σ2 = 11x103 ksi, ε1 = .0015 in/in, ε2 = .25 in/in.
![2435_figure4.jpg](https://secure.tutorsglobe.com/CMSImages/2435_figure4.jpg)