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

Point Sketch Calculation of Q = y′ A′
280 mm
τ
(MPa)
e
61 mm
e
z
y
V
e'
10 mm
10 mm
66 mm
(66 mm)(280 mm × 10 mm)
+ 2 × (30.5 mm)(10 mm × 61 mm)
= 222,010 mm 3
164.1
y
10 mm
f
45 mm
34 mm
f
z
V
f '
10 mm
84 mm
(84 mm)(190 mm × 10 mm)
+ 2 × (62 mm)(10 mm × 34 mm)
= 201,760 mm 3
149.1
190 mm
y
z
g
g
10 mm
V
g'
84 mm
( 84 mm)( 190 mm × 10 mm)
= 159,600 mm 3 118.0
190 mm
y
z
h
h
V
h'
10 mm
84 mm
2 × ( 84mm) ( 30mm × 10mm)
= 50,400 mm 3 37.3
30 30
mm mm
y
z
i
i
V
10 mm
i'
84 mm
2 × ( 84mm) ( 20mm × 10mm)
= 33,600 mm 3 24.8
20 mm 20 mm
370