# 6.6 Practice Problems

1. For the beam shown below draw the influence lines for $A_y$, $C_y$, $V_B$ and $M_B$ using the equilibrium method. Find the maximum possible value of $A_y$ if a $\SI{32}{kN/m}$ distributed load and a single $\SI{50}{kN}$ point load may be placed anywhere on the beam.
2. For the beam shown below draw the influence lines for $B_y$, $D_y$, $V_C$ and $M_C$ using the equilibrium method. Find the maximum possible value of $M_C$ if a $\SI{32}{kN/m}$ distributed load and a single $\SI{50}{kN}$ point load may be placed anywhere on the beam.
3. For the beam shown below draw the influence lines for $A_y$, $M_A$, $V_B$ and $M_B$ using the equilibrium method. Find the maximum possible value of $M_A$ if a $\SI{32}{kN/m}$ distributed load and a single $\SI{50}{kN}$ point load may be placed anywhere on the beam.
4. For the beam shown below draw the influence lines for $A_y$, $C_y$, $E_y$, $M_B$ and $V_D$ using the equilibrium method. Find the maximum possible value of $V_D$ if a $\SI{32}{kN/m}$ distributed load and a single $\SI{50}{kN}$ point load may be placed anywhere on the beam.
5. For the frame shown below draw the influence lines for $E_y$, $F_y$, $V_C$ and $M_C$ using the equilibrium method.
6. For the frame shown below draw the influence lines for $D_y$, $E_y$, and $M_D$ using the equilibrium method.
7. For the beam shown below draw the influence lines for $A_y$, $C_y$, $M_A$ and $V_B$ using the Müller-Breslau Principle.
8. For the beam shown below draw the influence lines for $A_y$, $C_y$, $M_B$ and $V_B$ using the Müller-Breslau Principle.
9. For the beam shown below draw the influence lines for $A_y$, $C_y$, $D_y$, $V_B$, and $M_C$ using the Müller-Breslau Principle.
10. For the beam shown below draw the influence lines for $A_y$, $C_y$, $M_B$ and $V_B$ using the Müller-Breslau Principle.
11. For the truss shown below draw the influence lines for $A_y$, $E_y$, $F_{AH}$ and $F_{BC}$ for a moving load between A and E.
12. For the truss shown below draw the influence lines for $F_{AF}$, $F_{FH}$, $F_{BH}$ and $F_{BC}$ for a moving load between A and E. Find the maximum force in member AF caused by a moving truck that travels between A and E (in either direction) and has the wheel load pattern shown below.