Question
Transcribed Text
Item 1
For the beam given below, the boundary conditions that would be used to solve for the constants of integration
resulting when the Method of Integration is used to determine the equation of the elastic deflection curve are:
ANSWER:
At , and are maximum values
At ,
At ,
At , and
x = 0 v v′
x = 0 = 0v′
x = 0 v = 0
x = 3 m v = 0 = 0v′
Item 2
For a beam like the one given in the video problem, 2 moment equations, written as functions of x, define the
internal moment along the beam’s length. When the method of integration is used to determine the equation(s)
of the elastic deflection curve, _________________ boundary and or continuity conditions are required to solve
for the constants of integration that result.
ANSWER:
4
3
6
2
Item 3
The beam is made of wood having a modulus of elasticity of = 1.5(103
) and a rectangular cross section of
width = 2 . and height = 8 .
Part A
Determine the point of the maximum deflection. Take = 0 and = 12 .
Express your answer as an integer and include the appropriate units.
ANSWER:
Part B
Determine the maximum deflection of the simply supported beam.
Express your answer to three significant figures and include the appropriate units.
ANSWER:
Ew ksi
b in h in
xA xB ft
x =
vmax =
Item 4
= 220 and = 65.0(106
) .
Part A
Determine the slope of end of the cantilevered beam.
Express your answer to three significant figures and include the appropriate units.
ANSWER:
Part B
Determine the deflection of end of the cantilevered beam.
Express your answer to three significant figures and include the appropriate units.
ANSWER:
E GPa I mm4
A
θA =
A
vA =
Item 5
= 180 and = 65.0(106
) .
Part A
Determine the slope of end of the cantilevered beam.
Express your answer to three significant figures and include the appropriate units.
ANSWER:
E GPa I mm4
A
θA =
Item 6
= 170 and = 65.0(106
) .
Part A
Determine the slope of end of the cantilevered beam.
Express your answer to three significant figures and include the appropriate units.
ANSWER:
Part B
Determine the deflection of end of the cantilevered beam.
Express your answer to three significant figures and include the appropriate units.
ANSWER:
E GPa I mm4
A
θA =
A
vA =
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