In the marine crane shown, link CD is known to have a uniform cross section of 50 × 150 mm. For the loading shown, determine the normal stress in the central portion of that link.
Fig. P1.59
The normal stress in the centre portion of the link.
The normal stress in the centre portion of the link is
Given information:
The uniform cross section is
Calculation:
Sketch the free body diagram of ABC as shown in Figure 1.
Here, W is the weight of the loading.
Find the weight of the loading as follows:
Here, m is the mass of the loading and g is the acceleration due to gravity.
Substitute
Taking moment about A,
Substitute
Find the area of the cross section using the relation:
Here, b is the width of the cross section and d is the depth of the cross section.
Substitute
Determine the normal stress in the central portion of the link as follows:
Here, A is the area of the cross section and
Substitute
Thus, the normal stress in the centre portion of the link is