1-The term deflection curve as used in chapter 9 means the shape and location of

Question

1-The term deflection curve as used in chapter 9 means the shape and location of the longitudinal axis of a beam.
true
false
2-Since most beams undergo very small actual deflections, we can assume that rotation angle in radians and the slope of the rotated axis are equal.
true
false
3-The angle of rotation is the angle between the x axis of the unloaded beam and the tangent to the deflection curve at the point of interest.
true
false
4-For nonprismatic beams, flexural rigidity, EIx, is variable. This means that the equation cannot be used to determine beam deflections.
true
false
5-Integration to determine deflections is relatively easy for most loading possibilities since the boundary conditions occur just at the ends of the beam.
true
false
6-The method of superposition to determine beam deflections is not used much anymore since it is only an approximate method.
true
false
7-The moment area method for finding rotations and deflections of beams under load is widely used since it gives accurate answers for large angles of rotation.
true
false
8-The tangential displacement t(B/A) of point B from a tangent to point A is equal to the moment of the area of the M/EI diagram between the two points to taken about point B.
true
false
9-The strain energy approach to deflections is based on equating the elastic energy stored in the beam by the deflection to work done by the couples and loads rotating and displacing the beam.
true
false
10-Castigliano’s theorem is limited to beams loaded just with forces and cannot be used when moments are applied to a beam.
true
false

Explanation / Answer

1-The term deflection curve as used in chapter 9 means the shape and location of the longitudinal axis of a beam. true 2-Since most beams undergo very small actual deflections, we can assume that rotation angle in radians and the slope of the rotated axis are equal. true 3-The angle of rotation is the angle between the x axis of the unloaded beam and the tangent to the deflection curve at the point of interest. true 4-For nonprismatic beams, flexural rigidity, EIx, is variable. This means that the equation cannot be used to determine beam deflections. false 5-Integration to determine deflections is relatively easy for most loading possibilities since the boundary conditions occur just at the ends of the beam. true 6-The method of superposition to determine beam deflections is not used much anymore since it is only an approximate method. false 7-The moment area method for finding rotations and deflections of beams under load is widely used since it gives accurate answers for large angles of rotation. true 8-The tangential displacement t(B/A) of point B from a tangent to point A is equal to the moment of the area of the M/EI diagram between the two points to taken about point B. true 9-The strain energy approach to deflections is based on equating the elastic energy stored in the beam by the deflection to work done by the couples and loads rotating and displacing the beam. true 10-Castigliano’s theorem is limited to beams loaded just with forces and cannot be used when moments are applied to a beam. true

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