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Which of the following does not influence the bending moment of a continuous beam?


A) Loads
B) Modulus of elasticity
C) Moment of inertia
D) None of the above

E) B) and D)
F) B) and C)

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The Italian railway engineer Alberto Castigliano proposed two theorems related to the study of statically indeterminate structures. To which of the following properties does Castigliano's first theorem apply?


A) Deflection
B) Torsion
C) Shear stress
D) All of the above

E) A) and B)
F) C) and D)

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Which of the following can be used to evaluate the impacts of combined normal and shear stresses?


A) Mohr's circle
B) Clapeyron's equation
C) Castigliano's first theorem
D) All of the above

E) B) and C)
F) A) and B)

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Which of the following conventions is used to indicate tension on a truss diagram?


A) Drawing arrows away from the pins
B) Drawing arrows towards the pins
C) Adding the tau symbol to the diagram near the truss member in tension
D) None of the above

E) B) and C)
F) A) and D)

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A

Which of the following loading types will causes a beam to bend?


A) Random
B) Point
C) Uniformly distributed
D) B and C

E) All of the above
F) B) and C)

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D

When sketching the shape of a bending moment of a deflected beam, which of the following conventions is commonly used?


A) Positive bending moment bends beam convex upwards
B) Negative bending moment bends beam concave upwards
C) Positive bending moment bends beam concave upwards
D) All of the above

E) None of the above
F) A) and C)

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Which of the following statements related to shear diagrams is not correct?


A) Before a shear diagram is drawn, all load distributions should be simplified into point loads
B) Shear diagrams begin and end at zero shear
C) The shear force at a point is the total external load on the beam at that point
D) The shear line representing a uniformly distributed load is linear

E) A) and D)
F) A) and C)

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Which of the following passages best concludes the following statement regarding Castigliano's second theorem, the Method of Least Work:"the internal work accomplished by each member or each portion of a statically indeterminate structure subjected to a set of external loads is the least possible amount necessary to …"


A) Deflect just to the point prior to failure
B) Deform in a manner consistent with its physical limitations
C) Maintain equilibrium in supporting the loads
D) None of the above

E) A) and B)
F) A) and C)

Correct Answer

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C

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