(Solved): We have the plane truss shown in Figure 1. The truss carries three forces, as shown in the same fig ...

We have the plane truss shown in Figure 1. The truss carries three forces, as shown in the same figure. Point 1 has a pin support, while point 4 has a horizontal roller support. The truss is made of steel, with an elastic modulus of $20,000\mathrm{ksi}$ and a yield stress of $60\mathrm{ksi}$. a) Calculate the support reactions (5 points). b) Obtain the axial forces of the truss members (10 points). c) Find the change in length for member 3-4, if the cross-sectional area of that member is $5{\mathrm{in}}^2$ ? (5 points). d) Will member 2-3 be able to carry the axial force, if we know that it has a circular cross-section with a diameter of 1.5 inches? (5 points). e) Will member 2-3 be able to carry its axial force, if the "10 kip" force applied at joint 2 was upward instead of downward? (5 points). Figure 1