1. The following curve is recorded in a tensile stress test for a rod of length 5 cm and diameter 1 mm. What is theapproximate yield stress of the material?

2. Consider the structure depicted in figure below. There are two forces of 200kN and 100kN acting on point A. What is the tension in the segment AD?

3. A homogeneous cube of weight 100 kN sits on a horizontal plane. Determine the minimum force F acting on the upper top edge (parallel with the surface) that is required for tipping the block over.

4. Consider three collinear horizontal forces acting on a rigid body. Their magnitudes are 200 N, 100 N, and 300 N. All of the forces are acting in the same direction. Determine the resultant of the forces.

5. Convert a pressure of 2 atmospheres to units of millimeters of water (at the earth's surface). Which of the following best corresponds to that result?

6. Which of the following would be the most appropriate description of the beam configuration shown in the figure below?

7. Consider the structure depicted in the figure below. There are two forces of 200kN and 100kN acting on point A. The distances between A and B as well as B and C are 2 m. What is the tension in segment BF?

8. Consider a rope 5 m long running from points A to B as in the figure below. The two walls are only 3 m apart; therefore, the rope sags. The difference in elevation of points A and B is 1 m. Along the rope, a frictionless pulley suspends a 200 N weight. When the system is at equilibrium, calculate the vertical distance from point A to the lowest point on the rope.

9. Consider the following matrix notation equation.


What is the correct expression for tau₁₂?

10. Which of the following statements best describes the rule of mixtures for the modulus of elasticity of a fiber reinforced composite for stress transverse to the fiber direction? The volume fractions and moduli of the individual phases are V_fiber and Vmedium and E_fiber and E_medium.

11. Which of the following expressions best describes the rule of mixtures for the modulus of elasticity of a fiber reinforced composite with volume fractions V_{fiber and Vmedium and Young's moduli Efiber and Emedium for stress in the fiber direction?}

12. Which of the following defect geometries has found special utility in the analytical or closed-form modeling of crack propagation?

13. In the diagram below, the angle alpha is 120 degrees and the angle beta is 120 degrees. Which of the following statements must be true in order for the particle at the center to not accelerate under the influence of forces F1, F2, and F3?

14. Which of the following are appropriate units for energy per unit area?

15. Which of the following is an appropriate unit for a traction vector?

16. Which of the following are examples of anisotropic materials?I. WoodII. SteelIII. Water IV. Aluminum

17. Consider a wire suspended from a ceiling at points A and D and bearing two loads F1 = 20 kN and F2 = 25 kN at points C and D, respectively. The angles alpha and beta are 30 and 60 degrees, respectively. Calculate the tension in the wire segment BC.

18. As illustrated in the figure below, block B resides on an incline. The static coefficient of friction between the block and the incline is 0.343. At what value of the inclination (in degrees) will the block begin to slide under the influence of vertical gravitational acceleration?

19. Consider a wire suspended from a ceiling at points A and D and bearing two loads F1 = 20 kN and F2 = 25 kN at points C and D, respectively. The angles alpha and beta are 30 and 60 degrees, respectively. Calculate the tension in the wire segment AB.

20. What is the appropriate unit for a mass moment of inertia?

21. A member of square cross section (10 mm on each side) and of 20 cm in length is subject to atensile load of 1 kN. The Young's modulus of the material composing the member is 250 GPa.What is the extension of the member under load in mm?

22. In the figure below, the angle alpha is 18 degrees. The block B has a mass of 10 kg and is subject to a gravitational acceleration of 9.8 m²/s straight down. Block A is being held in place by external forces.If the coefficient of static friction is 0.05, then what is the horizontal force required to start block B moving to the left?

23. The idealized schematic below could be thought of as an umbrella stand or a fishing rod holder. In the schematic, a narrow dowel is placed in a receptacle. The dowel is subject to a downward load F_L at the outer end. F_L= 50 N. We may neglect the force due to gravity acting on the dowel. The angle α = 28 degrees. The dowel is 1 meter long, and the distance d is 40 cm. The dowel is not moving. The force acting at point A is normal to the axis of the dowel (friction is negligible there). What is the net force acting at the end of the dowel from the multiple contact points near B?

24. How many members does a perfect truss with 8 joints have?

25. Consider the structure depicted in figure below. There are two forces of 200kN and 100kN acting on point A. What is the tension in the segment AB?