Question
Asked Nov 2, 2019

per the attached figure:

if the applied shear force V = 14 kip, determine the maximum shear stress in the member.

3 in
1 in
3 in. 1 in
1 in
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3 in 1 in 3 in. 1 in 1 in

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Expert Answer

Step 1

For the given block the neutral axis from top is,

5 in
y1.1667 in
(0.5)(1)(5)+2[(2)(1)(2)]
1(5)+2(1(2)
YNA
2.5 8
=1.1667 in
A
A'
5+4
1.8333 in
y' = 0.91665 in
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5 in y1.1667 in (0.5)(1)(5)+2[(2)(1)(2)] 1(5)+2(1(2) YNA 2.5 8 =1.1667 in A A' 5+4 1.8333 in y' = 0.91665 in

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Step 2

Moment of inertia about the neutral axis from parallel axis theorem is,

1
I =
(1')+5(1)(1.1667-0.5
12
1
+2
12
+25 (1)(2) 2 (1)(2) (2-1.1667)
5
I -+2.22244+2.77755
12
4
3
I 6.75 in
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1 I = (1')+5(1)(1.1667-0.5 12 1 +2 12 +25 (1)(2) 2 (1)(2) (2-1.1667) 5 I -+2.22244+2.77755 12 4 3 I 6.75 in

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Step 3

Maximum shear stress area will occur at neutral axis. Calcula...

Q.Σν'Α'
max
О. — 2(0.91665) (1.8333)(1)
max
Олах — 3.3611 in'
max
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Q.Σν'Α' max О. — 2(0.91665) (1.8333)(1) max Олах — 3.3611 in' max

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