Timothy A. Philpot - Mechanics of materials _ an integrated learning system-John Wiley (2017)

internal bending moment acting at the points of interest will be determined. The flexure
formula and the shear stress formula will be used to compute the normal and shear stresses
acting at each point. These stresses will be summarized on stress elements for each point,
and then stress transformation calculations will be used to determine the principal stresses
and maximum shear stress for the stress element at H. The process will be repeated for the
stresses acting at K.
SolutioN
Moment of inertia
The moment of inertia for the wide-flange section is
I
z
3 3
(200 mm)(350 mm) (191 mm)(318 mm)
= − = 202.74 × 10 mm
12
12
6 4
Shear-Force and Bending-Moment Diagrams
The shear-force and bending-moment diagrams for the simply supported beam are shown
in the accompanying diagram.
y
80 kN/m
60 kN
A
H
K
B
x
1 m 1 m
3 m 1.5 m
1.5 m
195 kN
105 kN
195 kN
115 kN
V
2.4375 m
−45 kN
−45 kN
−105 kN
−105 kN
155 kN·m
237.66 kN·m 225 kN·m
180 kN·m
157.50 kN·m
M
624