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

m1.3 Use shear stress concepts for four introductory problems.
m1.5 For the pin at C, determine the resultant force, the shear
stress, and the minimum required pin diameter for six configuration
variations.
FIGURE m1.5
FIGURE m1.3
m1.4 Given the areas and allowable normal stresses for members
(1) and (2), determine the maximum load P that may be supported
by the structure without exceeding either allowable stress.
m1.6 A torque T is transmitted between two flanged shafts by
means of six bolts. If the shear stress in the bolts must be limited to
a specified value, determine the minimum bolt diameter required
for the connection.
FIGURE m1.6
FIGURE m1.4
pRoBLEmS
p1.1 A steel bar of rectangular cross section 15 mm by 60 mm is
loaded by a compressive force of 110 kN that acts in the longitudinal
direction of the bar. Compute the average normal stress in the bar.
p1.2 A circular pipe with outside diameter 4.5 in. and wall
thickness 0.375 in. is subjected to an axial tensile force of 42,000 lb.
Compute the average normal stress in the pipe.
p1.3 A circular pipe with an outside diameter of 80 mm is subjected
to an axial compressive force of 420 kN. The average normal
stress must not exceed 130 MPa. Compute the minimum wall thickness
required for the pipe.
p1.4 Three solid bars, each with square cross sections, make up
the axial assembly shown in Figure P1.4/5. Two loads of P = 30 kN
are applied to the assembly at flange B, two loads of Q = 18 kN are
applied at C, and one load of R = 42 kN is applied at end D. The bar
dimensions are b 1 = 60 mm, b 2 = 20 mm, and b 3 = 40 mm. Determine
the normal stress in each bar.
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