A) Pin/roller supports resist ____________________.

• rotation
• displacement
• rotation and displacement
• none of the above

(B) Inflection points occur where ____________________.

• displacement equals zero
• displacement is at a maximum
• curvature equals zero
• curvature is at a maximum

(C) Curvature (1/%u03C1) has units of ________________.

• distance-1
• distance
• distance2
• distance3

(D) Boundary conditions reflect a known _____________________. Boundary conditions usually are found at _____________.

• value of slope/displacement at a given point; supports
• value of slope/displacement at a given point; concentrated external loads
• relationship between slope/displacement at two different points; supports
• relationship between slope/displacement at two different points; boundaries between
• equations defining the slope/displacement along a beam
• none of the above

(E) Continuity conditions reflect a known _____________________. Continuity conditions usually are found at _____________.

• value of slope/displacement at a given point; supports
• value of slope/displacement at a given point; concentrated external loads
• relationship between slope/displacement at two different points; supports
• relationship between slope/displacement at two different points; boundaries between
• equations defining the slope/displacement along a beam
• none of the above

(F) Theconstantsofintegrationrepresent

• The initial slope/displacement of the function at the beginning of its applicable domain
• The flexural rigidity of the beam
• The area underneath the displacement curve
• None of the above

(G) To determine the elastic curve equations for a statically indeterminate beam, the internal moment must be expressed in terms of ____________________.

• unknown redundant support reactions
• itself
• boundary conditions
• none of the above

(H) Unknown support reactions will _________ be solvable using boundary conditions and/or continuity conditions.

• never
• sometimes
• always
• none of the above

(I) Once the unknown redundant reactions are solved for, the moment function can be determined by using ________________.

• the method of sections and statics
• calculus
• trial and error
• none of the above

(J) The number of redundant support reactions required is equal to the _____________________ the system.

• number of equations required to describe the internal moment in
• number of supports minus one in
• degree of indeterminacy of
• none of the above

(K) The %u201Ccritical load%u201D for a column is ______________________________.

• the lateral load required to buckle a column
• the yield strength of a column
• the maximum tensile axial load that a column can support while on the verge of buckling
• the maximum compressive axial load that a column can support while on the verge of buckling

(L) A column is made of a material with a yield stress of 50 ksi. If the buckling stress is calculated to be 75 ksi, which failure mode will occur first?

• Yielding
• Buckling
• Fracture
• None of the above

(M) A designer wants to increase the buckling resistance of a fixed-fixed column. Which of the following would not increase Pcr?

• change the supports/fixity
• change to a material with a higher modulus of elasticity
• change to a section with a larger moment of inertia
• brace the column at an intermediate point

(N) About which axis will a column buckle?

• the axis with the least moment of inertia
• the axis with the largest effective slenderness ratio
• the axis with the least fixity
• none of the above