Question F12.7: Two identical 20-mm-thick plates arc bolted to the top and b......
Two identical 20-mm-thick plates arc bolted to the top and bottom flange to form the built-up beam. If the beam is subjected to a shear force of V = 300 kN, determine the maximwu spacing s of the bolts to the nearest mm if each bolt has a shear strength of 30 kN.
Step-by-Step
Consider large rectangle minus two side rectangles.
\begin{aligned} I & =\frac{1}{12}(0.2)\left(0.34^{3}\right)-(2) \frac{1}{12}(0.095)\left(0.28^{3}\right) \\ & =0.3075\left(10^{-3}\right) \mathrm{m}^{4} \end{aligned}Top plate
Q=y^{\prime} A^{\prime}=0.16(0.02)(0.2)=0.64\left(10^{-3}\right) \mathrm{m}^{3}Two rows of bolts
\begin{aligned} & q_{\text {allow }}=2\left(\frac{F}{s}\right)=\frac{2\left[30\left(10^{3}\right)\right]}{s}=\frac{60\left(10^{3}\right)}{s} \\ & q_{\text {allow }}=\frac{V Q}{I} ; \quad \frac{60\left(10^{3}\right)}{s}=\frac{300\left(10^{3}\right)\left[0.64\left(10^{-3}\right)\right]}{0.3075\left(10^{-3}\right)} \\ & s=0.09609 \mathrm{~m}=96.1 \mathrm{~mm} \\ & \text { Use } s=96 \mathrm{~mm} \quad \text { } \end{aligned}Related Answered Questions
Question: P12.1
Verified Answer:
a.
\begin{aligned} Q & =\bar{y}^{\pri...
Question: F12.6
Verified Answer:
I=\frac{1}{12}(0.3)\left(0.2^{3}\right)=0.2...
Question: F12.8
Verified Answer:
Consider two large rectangles and two side rectang...
Question: F12.9
Verified Answer:
Consider center board and four side boards.
[latex...
Question: F12.1
Verified Answer:
Consider two vertical rectangles and a horizontal ...
Question: F12.2
Verified Answer:
Consider a vertical rectangle and two squares.
[la...
Question: F12.3
Verified Answer:
V_{\max }=4.5 kip
I=\frac{1}...
Question: F12.4
Verified Answer:
Consider two vertical rectangles and two horizonta...
Question: F12.5
Verified Answer:
Consider one large vertical rectangle and two side...
Question: 12.6
Verified Answer:
Since the cross section is the same in both cases,...