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The fully plastic torque for a solid shaft is therefore 33 greater than the maximum elastic torque. As in the case of beams this can be taken account of in design procedures to increase the allowable torque which can be carried by the shaft or it may be treated as an additional safety factor. In any event it must be remembered that should stresses in the shaft at any time exceed the yield point for the material, then some permanent deformation will occur. 3.11. Angles of twist of shafts...

La aJcrj ff ii Vax ay J

A similar equation can be obtained for the plane stress case, namely If the body forces X and Y have constant values the same equation holds for both plane stress and plane strain, namely (ar2 + dy2 xx + yy) Vl xx + yy) This equation is known as the Laplace differential equation or the harmonic differential equation. The function (oxx + oyy) is referred to as a harmonic function. It is interesting to note that the Laplace equation, which of course incorporates all the previous equations, does...

T Section Structural Material

A cantilever is to be constructed from a 40 mm x 60 mm T-section beam with a uniform thickness of 5 mm. The cantilever is to carry a u.d.l. over its complete length of 1 m. Determine the maximum u.d.l. that the cantilever can carry if yielding is permitted over the lower part of the web to a depth of 10 mm. ay 225 MN m. 3.7 B . A 305 mm x 127 mm symmetrical I-section has flanges 13 mm thick and a web 5.4 mm thick. Treating the web and flanges as rectangles, calculate the bending moment...

Experimental Stress Analysis

We live today in a complex world of manmade structures and machines. We work in buildings which may be many storeys high and travel in cars and ships, trains and planes we build huge bridges and concrete dams and send mammoth rockets into space. Such is our confidence in the modern engineer that we take these manmade structures for granted. We assume that the bridge will not collapse under the weight of the car and that the wings will not fall away from the aircraft. We are confident that the...

Disc With Hole Rotating Radial Displacement

1.1 Product second moment of area 3 1.2 Principal second moments of area 4 1.3 Mohr's circle of second moments of area 6 1.4 Land's circle of second moments of area 7 1.5 Rotation of axes determination of moments of area in terms of the principal values 8 1.6 The ellipse of second moments of area 9 1.8 Stress determination 11 1.9 Alternative procedure for stress determination 11 1.10 Alternative procedure using the momental ellipse 13 1.11 Deflections 15 Examples 16 Problems 24 2.2 Equivalent...

Euler And Rankine-gordon

Euler Curve

Having derived the result for the buckling load of a strut with pinned ends the Euler loads for other end conditions may all be written in the same form, where I is the equivalent length of the strut and can be related to the actual length of the strut depending on the end conditions. The equivalent length is found to be the length of a simple bow half sine-wave in each of the strut deflection curves shown in Fig. 2.6. The buckling load for each end condition shown is then readily obtained. The...