Concept explainers
(a)
Show that the magnitude of the horizontal shearing force H exerted on the lower face of the portion of the beam ACKJ is
(a)

Answer to Problem 60P
The magnitude of the horizontal shearing force H exerted on the lower face of the portion of the beam ACKJ is
Explanation of Solution
Given information:
K is a point at a distance
Calculation:
The point K is located a distance y above the neutral axis.
Provide the stress distribution as shown below.
Sketch the stress distribution for
Sketch the stress distribution for
Calculate the horizontal forces acting on ACKJ as shown below.
Substitute
Therefore, the magnitude of the horizontal shearing force H exerted on the lower face of the portion of the beam ACKJ is
(b)
The shearing stress at K.
(b)

Answer to Problem 60P
The shearing stress at K is
Explanation of Solution
Given information:
K is a point at a distance
Calculation:
Refer to part (a).
The horizontal shearing force is
Calculate the shear stress as shown below.
Substitute
Provide the relation of moment as shown below.
Differentiate both sides of the Equation as shown below.
Substitute
Substitute
Therefore, the shearing stress at K is
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