A prismatic beam of mass density p, cross-sectional area A, and length L rests upon a fixed pinned support at A and roller support B, as shown. The beam is symmetrically positioned with overhanging sections of length a to the left and right of A and B, respectively. L-a 2 A a- -L- B g Questions: (a) Sketch a free-body diagram of the beam, labeling all dimensions, external forces, and reactions due to the gravitational "self-weight" of the beam. (b) Compute the reaction forces due to the beam's self-weight expressed in terms of the given variables. (c) Compute the value or formula for the shear force V(x) and bending moment M(x) deformation distributions within specific beam intervals.
A prismatic beam of mass density p, cross-sectional area A, and length L rests upon a fixed pinned support at A and roller support B, as shown. The beam is symmetrically positioned with overhanging sections of length a to the left and right of A and B, respectively. L-a 2 A a- -L- B g Questions: (a) Sketch a free-body diagram of the beam, labeling all dimensions, external forces, and reactions due to the gravitational "self-weight" of the beam. (b) Compute the reaction forces due to the beam's self-weight expressed in terms of the given variables. (c) Compute the value or formula for the shear force V(x) and bending moment M(x) deformation distributions within specific beam intervals.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
![A prismatic beam of mass density p, cross-sectional area A, and length L rests upon a
fixed pinned support at A and roller support B, as shown. The beam is symmetrically
positioned with overhanging sections of length a to the left and right of A and B,
respectively.
L-a
2
A
a-
-L-
B
g
Questions:
(a) Sketch a free-body diagram of the beam, labeling all dimensions, external forces,
and reactions due to the gravitational "self-weight" of the beam.
(b) Compute the reaction forces due to the beam's self-weight expressed in terms of
the given variables.
(c) Compute the value or formula for the shear force V(x) and bending moment
M(x) deformation distributions within specific beam intervals.
(d) Sketch graphs of the shear force and bending moment distributions. Line up
the shear force plot directly over the bending moment plot with equivalently
scaled horizontal axes. Label all critical points, such as zero crossings, and local
maxima and minima in each plot.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd104ea5e-59f4-47a3-a0d3-8c9f1ad3b57c%2F9cabb105-94b6-4484-9e37-60239c9927e4%2Fmayz39j_processed.png&w=3840&q=75)
Transcribed Image Text:A prismatic beam of mass density p, cross-sectional area A, and length L rests upon a
fixed pinned support at A and roller support B, as shown. The beam is symmetrically
positioned with overhanging sections of length a to the left and right of A and B,
respectively.
L-a
2
A
a-
-L-
B
g
Questions:
(a) Sketch a free-body diagram of the beam, labeling all dimensions, external forces,
and reactions due to the gravitational "self-weight" of the beam.
(b) Compute the reaction forces due to the beam's self-weight expressed in terms of
the given variables.
(c) Compute the value or formula for the shear force V(x) and bending moment
M(x) deformation distributions within specific beam intervals.
(d) Sketch graphs of the shear force and bending moment distributions. Line up
the shear force plot directly over the bending moment plot with equivalently
scaled horizontal axes. Label all critical points, such as zero crossings, and local
maxima and minima in each plot.
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