Problem 1:
Each nail can support a shear force 30 lb. What maximum spacing is required in each case if the beam must support a vertical force of 100 lb. Where does the maximum shear stress on the beam cross-section occur and what is it?
Problem 2:
The state of plane stress at a point is shown on the element below. Determine the principal stresses. Also determine the maximum in-plane shear stresses and the orientation of the element upon which they act. Construct Mohr's circle. Represent the state of stress on an element oriented 30o counterclockwise from the position shown.
Problem 3:
An axial force of 300 lb and a torque of 25 lb-ft are applied to the shaft shown below. If the shaft has a diameter of 1.5 in, determine the principal stresses and the maximum in-plane shear stress at a point P on its surface. Construct Mohr's circle.
Problem 4:
The 6061 T6 aluminum W10x39 member is to be used as a pin-connected column. Determine the largest axial load it can support before it either begins to buckle or yield.
Problem 5:
The beam is subjected to the load shown. Draw the shear and bending moment diagrams. Determine the equations of the slope and elastic curve. EI is constant.
Problem 6:
Determine the largest load of w that can be supported if the factor of safety with respect to buckling of member AB is 2.5. Draw the shear and bending moment diagrams for the complete length of beam BC. What is the maximum deflection? Assume that the structure is made of 2024-T4 aluminum and that AB is pinned at its ends for x-x axis buckling and fixed at its ends for y-y axis buckling.
