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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
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The normal stress in the centre portion of the link.
Answer to Problem 59RP
The normal stress in the centre portion of the link is
Explanation of Solution
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
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Chapter 1 Solutions
Mechanics of Materials, 7th Edition
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