Which failure mode will occur first for given yield stress


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

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Mechanical Engineering: Which failure mode will occur first for given yield stress
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