Each of the four vertical links has an 8 × 36-mm uniform rectangular cross section, and each of the four pins has a 16-mm diameter. Determine the maximum value of the average normal stress in the links connecting (a) points B and D, (b) points C and E.
Fig. P1.7
(a)
The maximum value of average normal stress in the links connecting at point B and D.
Answer to Problem 7P
The maximum value of average normal stress in the links connecting at point B and D is
Explanation of Solution
Given information:
The size of rectangular cross section is
The diameter (d) of the each pin is
Calculation:
Sketch the free body diagram of link ABC as shown in Figure 1.
Here,
Refer to Figure 1.
Apply the moment equilibrium condition at the point C.
Refer to Figure 1.
Apply the moment equilibrium condition at the point B.
Calculate the net area of one link for tension as follows:
Here, b is the width of the rectangular cross section, h is the depth of the rectangular cross section, and
Substitute
Find the area of network for two parallel links as follows:
Find the average normal stress
Here,
Substitute
Thus, the maximum value of average normal stress in the links connecting at point B and D is
(b)
The maximum value of average normal stress in the links connecting at point C and E.
Answer to Problem 7P
The maximum value of average normal stress in the links connecting at point C and E is
Explanation of Solution
Calculation:
Calculate the net area of one link for tension as follows:
Substitute
Find the area of network for two parallel links as follows:
Find the average normal stress
Here,
Substitute
Thus, the maximum value of average normal stress in the links connecting at point C and E is
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