Question

Problem

In the clevis shown in Fig. find the minimum bolt diameter and the minimum thickness of each yoke that will support a load P= 14 kips without exceeding a shearing stress of 12 ksi and a bearing stress of 20 ksi

Answer 1

To find the minimum bolt diameter and minimum thickness of each yoke that can support a load of 14 kips without exceeding the shearing stress and bearing stress limits, use the equations for shearing stress and bearing stress.

Step-by-step explanation:

To find the minimum bolt diameter and minimum thickness of each yoke that can support a load of 14 kips without exceeding the shearing stress and bearing stress limits, we need to use the equations for shearing stress and bearing stress. The shearing stress is given by the formula: σs = P / (A). The bearing stress is given by: σb = P / (d*t).

To find the minimum bolt diameter (d), we can rearrange the equation for bearing stress: d = P / (σb * t). Plugging in the values for P (14 kips), σb (20 ksi), and t (unknown), we can solve for d.

To find the minimum thickness of each yoke (t), we can use the equation for shear stress: t = P / (σs * A). Plugging in the values for P (14 kips), σs (12 ksi), and A (unknown), we can solve for t.

Answer 2

In the clevis shown in Fig. 1-11b, find the minimum bolt diameter and the minimum thickness of each yoke that will support a load P = 14 kips without exceeding a shearing stress of 12 ksi and a bearing stress of 20 ksi.

127-clevis-double-shear-bolt.gif

Solution 127

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127-fbd-clevis-double-shear-bolt.gifFor shearing of rivets (double shear)

P=τA

14=12[2(14πd2)]

d=0.8618in → diameter of bolt answer

For bearing of yoke:

P=σbAb

14=20[2(0.8618t)]

t=0.4061in → thickness of yoke answer