By D. W. A. Rees (auth.)
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Extra resources for Basic Solid Mechanics
Determine the maximum possible pitch of the rivets and the efficiency of the joint with possible failure from tearing of the plate and shearing and crushing of the rivets. The respective ultimate strengths are: 430, 355 and 710 MPa. 13 Three rows of 20 mm diameter rivets are used to form a lap joint between two 15 mm thick plates. Find the maximum allowable pitch of the rivets and the efficiency of the joint when designing to avoid tearing of the plates and shearing of the rivets. Take the respective working strengths as: 90 and 70 MPa.
H. 1 Direct Stress and Strain Direct stress is the internal force a material exerts per unit of its area A, when it resists an external axial force, W. 1) The corresponding direct strain c, is the amount by which the material will extend or compress per unit of its length. 2) Provided that the loading is elastic the displacement fully recovers upon unloading. Because metallic materials are usually linear in their loaddisplacement behaviour the ratio between a and c will be constant for a particular material.
12) are positive. Sagging moments which produce the opposite curvature, are negative. 5a,b. Some texts make use of the opposite convention in which sagging is positive. However, it then becomes necessary to introduce a minus sign when calculating stress from the engineer's theory of bending (see Chapter 5) and when calculating the curvature of a deflected strut (see Chapter 8). 1 Relationship Between F and M Let the force and moment increase by amounts oF and oM over a length Oz, of the beam (see Fig.