Mechanics of materials chapter 4 bending solutions manual

Third Edition



CHAPTER MECHANICS OF

4 MATERIALS
Ferdinand
P. Beer
E. Russell
Johnston, Jr.
John T. DeWolf

,MECHANICS OF MATERIALS Beer • Johnston • DeWolf

Pure Bending
In the preceding chapters you studied how to determine the
stresses in prismatic members subjected to axial loads or to
twisting couples. In this chapter and in the following two you
will analyze the stresses and strains in prismatic members
subjected to bending. Bending is a major concept used in the
design of many machine and structural components, such as
beams and girders.
This chapter will be devoted to the analysis of prismatic
members subjected to equal and opposite couples M and M’
acting in the same longitudinal plane. Such members are said to
be in pure bending.




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,MECHANICS OF MATERIALS Beer • Johnston • DeWolf

Pure Bending




Pure Bending: Prismatic members
subjected to equal and opposite couples
acting in the same longitudinal plane

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, MECHANICS OF MATERIALS Beer • Johnston • DeWolf

Other Loading Types

• Eccentric Loading: Axial loading which
does not pass through section centroid
produces internal forces equivalent to an
axial force and a couple

• Transverse Loading: Concentrated or
distributed transverse load produces
internal forces equivalent to a shear
force and a couple

• Principle of Superposition: The normal
stress due to pure bending may be
combined with the normal stress due to
axial loading and shear stress due to
shear loading to find the complete state
of stress.
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