Analysis of the failure form of bolt being squeezed

The crushing of the bolt rod or the hole wall is also a main failure mode, especially when the material strength of the joint is low, and the design criterion is that the crushing stress ep of the bolt rod or the hole wall is smaller than The probability of the compressive strength Sb of its corresponding material must be greater than or equal to the reliability required by the design. R(t) is expressed as: P(ep Select the material of the joint and determine the compressive strength distribution to find the ultimate stress. For the plastic material, the yield limit eS; for the brittle material; for the tensile strength eb. Determine Sb, for the steel Sb = 0.67eS, for the cast iron Sb = 0.4eb, the standard deviation of the intensity eSb=0.08Sb.

Determine the stress distribution of the bolt: Lmin should be as large as possible, so that the pressing stress ep is reduced; but if Lmin is too large, the force on the joint surface will be uneven due to manufacturing errors. In order to ensure a certain compression strength of the joint, the design should be such that the dimension Lmin is (0.75 ~ 1.5) d. Take Lmin = 1.25d, ep = FmdLmin = F1.25md2. Standard deviation eσp = 11.25me2Fd4 + 4F2e2dd61/2, In, eF=0.06F. Apply the coupling equation to solve the bolt diameter d.

Joining equation: Z=-Sb-epσ2Sb+e2ep.

According to the reliability R(t) value required for the bolt connection, the standard normal distribution table is checked, and the Z value of the coupling coefficient is obtained. Substituting the relevant parameters Z, eSb, eσp, Sb, and eb into the above formula to obtain the bolt diameter d, and checking the thread standard to determine the nominal diameter of the bolt d.

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