The hydraulic cylinder CF, which partially controls the

Chapter 1, Problem 1.26

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QUESTION:

The hydraulic cylinder CF, which partially controls the position of rod DE, has been locked in the position shown. Member BD is 15 mm thick and is connected at C to the vertical rod by a 9-mm-diameter bolt. Knowing that P = 2 kN and \(\theta=75^{\circ}\), determine (a) the average shearing stress in the bolt, (b) the bearing stress at C in member BD.

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QUESTION:

The hydraulic cylinder CF, which partially controls the position of rod DE, has been locked in the position shown. Member BD is 15 mm thick and is connected at C to the vertical rod by a 9-mm-diameter bolt. Knowing that P = 2 kN and \(\theta=75^{\circ}\), determine (a) the average shearing stress in the bolt, (b) the bearing stress at C in member BD.

ANSWER:

Problem 1.26

The hydraulic cylinder CF, which partially controls the position of rod DE, has been locked in the position shown. Member BD is 15 mm thick and is connected at C to the vertical rod by a 9-mm- diameter bolt. Knowing that P = 2 kN and , determine (a) the average shearing stress in the bolt, (b) the bearing stress at C in member BD.

                                                              Step by Step Solution

Step 1 of 9

To calculate the shearing and bearing stress at bolt C,we need to first estimate the reaction forces at point C.Apart from point C,there will be two reaction components at point A.First we will consider the free body diagram of the entire structure(figure 1) and then take moments about point C to calculate unknown reactions at A.Then we can take sum of forces in horizontal and vertical directions equal to zero and estimate the reaction force at point C.

                                                         Figure 1

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