1. 1. Two rods, one of nylon and one of steel, are rigidly connected as shown in Fig. P.1.2. Determine the stresses and axial deformations when an axial load of F = 1 kN is applied. 1.0 m 0.8 m Nylon(d=10mm)Steel(d=5mm) F

2. 2. A tapered column of modulus E and mass density ρ varies linearly from a radius of r 1 to r 2 ina length L, as shown in Fig. P.1.8. Find the total deformation caused by an axial load P. L F r1r1 r2r2

3. 3. A steel bar of length L and cross-sectional area A is fitted snugly between rigid supports as shown in Fig. Find the compressive stress in the bar when the temperature is raised by an amount ΔT. L A

4. 4. A compressed air tank having an inner diameter of 18 inches and a wall thickness of ¼ inch is formed by welding two steel hemispheres (see figure). (a) If the allowable tensile stress in the steel is 14000 psi, what is the maximum permissible air pressure p a in the tank? (b) If the allowable shear stress in the steel is 6000 psi, what is the maximum permissible pressure p b ?

5. 5. A rubber ball (see figure) is inflated to a pressure of 60 kPa. At that pressure the diameter of the ball is 230 mm and the wall thickness is 1.2 mm. The rubber has modulus of elasticity E = 3.5 Mpa and Poisson’s ratio ν = 0.45. Determine the maximum stress and strain in the ball.

6. 6. The truss, used to support a balcony, is subjected to the loading shown. Approximate each joint as a pin and determine the force in each member. State whether the members are in tension or compression. Set P 1 = 3 kN, P 2 = 2 kN.

7. 7. Determine the force in each member of the truss and state if the members are in tension or compression. Set P 1 = 2 kN and P 2 = 1.5 kN.

8. 9. Sketch the Mohr’s circles for each of the stress states shown in Figs. (a)(b)(c)(d) (e)(f) σ0σ0 σ0σ0 σ0σ0 σ0σ0 σ0σ0 σ0σ0 τ0τ0 τ0τ0