A prismatic beam of mass density p, cross-sectional area A, and length L rests upon afixed pinned support at A and roller support B, as shown. The beam is symmetricallypositioned with overhanging sections of length to the left and right of A and B,respectively.L-a2ALB6Questions:(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 ofthe given variables.(c) Compute the value or formula for the shear force V(x) and bending momentM(x) deformation distributions within specific beam intervals.(d) Sketch graphs of the shear force and bending moment distributions. Line upthe shear force plot directly over the bending moment plot with equivalentlyscaled horizontal axes. Label all critical points, such as zero crossings, and localmaxima and minima in each plot.

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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 to the left and right of A and B, respectively. L-a 2

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 to the left and right of A and B, respectively. L-a 2

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

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 to the left and right of A and B,
respectively.
L-a
2
A
L
B
6
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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