Chapter 3, Problem 3.1PFS

To determine

Net area of the given $L4x4x1/4$ member.

Answer to Problem 3.1PFS

$A_n=1.43{\text{in}}^2$

Explanation of Solution

Given data:

Section given is $L4x4x1/4$

Diameter of the bolt = $\frac{7}{8}\text{in}\text{.}$

Gross area of the given angle section from ASTM steel angle section properties of various sizes.

${\text{A}}_g\text{= 1}{\text{.94 in}}^2$

Calculation:

Calculation of net area of the angle section:

As it is shown in the above figure that in a single line there is two holes are coming.So, for finding the net area, 2 holes area must be deducted from the gross area.

$\begin{array}{c}\text{Diameter of hole }\left(d_h\right)=d_{\text{bolt}}+\frac{1}{8}\\ =\frac{7}{8}+\frac{1}{8}\\ =1\text{in}\text{.}\end{array}$

$\begin{array}{c}NetArea(A_n)=A_g-2\times d_h\times t\text{ (where, t is the thickness of the plate)}\\ =1.94-2\times 1\times \frac{1}{4}\\ =1.44{\text{in}}^2\approx 1.43{\text{in}}^2\end{array}$

Conclusion:

Hence, Net area of the given section is $1.43{\text{in}}^2$.