Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=4.0 ft, b=8.
Posted: Tue Jun 07, 2022 2:51 pm
Use the graphical method to construct the shear-force and
bending-moment diagrams for the beam shown.
Let a=4.0 ft, b=8.0 ft, c=5.0 ft,
d=3.0 ft, w = 10.5 kips/ft
and P = 75 kips. Construct the
shear-force and bending-moment diagrams on paper and use the
results to answer the questions in the subsequent parts of this GO
exercise.
For this loading, calculate the reaction
forces Ay and Ey acting
on the beam. Positive values for the reactions are indicated by the
directions of the red arrows shown on the free-body diagram below.
(Note: Since Ax = 0, it has been
omitted from the free-body diagram.)
Answers: Ay = kips, Ey = kips.
Part 2
Determine the shear force acting at each of the following
locations:
(a) x = 0+ ft (i.e., just to the right of
support A)
(b) x = 4.0 ft
(c) x = 12.0 ft
(d) x = 17.0– ft (i.e., just to the left
of D)
(e) x = 17.0+ ft (i.e., just to the right
of D)
(f) x = 20.0– ft (i.e., just to the left of
support E)
When entering your answers, use the shear force sign
convention.
Part 3
Use the graphical method to determine the bending moment acting
at B (i.e., x = 4.0 ft).
When entering your answers, use the bending moment sign
convention.
Answer: MB = Enter your answer
in accordance to the question statement kip-ft.
Part 4
The shear-force diagram crosses the V = 0
axis between points B and C.
Determine the location x (measured
from A) where V = 0 kips.
Answer: x = Enter your answer in accordance
to the question statement ft.
Part 5
Calculate the maximum bending moment (i.e., either positive or
negative) that occurs between
points B and C. When entering your
answers, use the bending moment sign convention.
Answers: M = Enter your answer in
accordance to the question statement kip-ft.
Part 6
Use the graphical method to calculate the bending moments
at:
(a) point C.
(b) point D.
When entering your answers, use the bending moment sign
convention.
Answers:
bending-moment diagrams for the beam shown.
Let a=4.0 ft, b=8.0 ft, c=5.0 ft,
d=3.0 ft, w = 10.5 kips/ft
and P = 75 kips. Construct the
shear-force and bending-moment diagrams on paper and use the
results to answer the questions in the subsequent parts of this GO
exercise.
For this loading, calculate the reaction
forces Ay and Ey acting
on the beam. Positive values for the reactions are indicated by the
directions of the red arrows shown on the free-body diagram below.
(Note: Since Ax = 0, it has been
omitted from the free-body diagram.)
Answers: Ay = kips, Ey = kips.
Part 2
Determine the shear force acting at each of the following
locations:
(a) x = 0+ ft (i.e., just to the right of
support A)
(b) x = 4.0 ft
(c) x = 12.0 ft
(d) x = 17.0– ft (i.e., just to the left
of D)
(e) x = 17.0+ ft (i.e., just to the right
of D)
(f) x = 20.0– ft (i.e., just to the left of
support E)
When entering your answers, use the shear force sign
convention.
Part 3
Use the graphical method to determine the bending moment acting
at B (i.e., x = 4.0 ft).
When entering your answers, use the bending moment sign
convention.
Answer: MB = Enter your answer
in accordance to the question statement kip-ft.
Part 4
The shear-force diagram crosses the V = 0
axis between points B and C.
Determine the location x (measured
from A) where V = 0 kips.
Answer: x = Enter your answer in accordance
to the question statement ft.
Part 5
Calculate the maximum bending moment (i.e., either positive or
negative) that occurs between
points B and C. When entering your
answers, use the bending moment sign convention.
Answers: M = Enter your answer in
accordance to the question statement kip-ft.
Part 6
Use the graphical method to calculate the bending moments
at:
(a) point C.
(b) point D.
When entering your answers, use the bending moment sign
convention.
Answers: