Question: For the problem of a half-space under uniform normal loading as shown in Fig. 8.24, show that the maximum shear stress can be expressed by:

For the problem of a half-space under uniform normal loading as shown in Fig. 8.24, show that the maximum shear stress can be expressed by:

Plot the distribution of lines of constant maximum shear stress, and compare the results with the photo elastic fringes shown in Fig. 8.28. These results, along with several other loading cases, have been given by Poulos and Davis (1974).

Fig 8.24

Fig 8.28

Tmax P 7 -sin(01-02)

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