The uniaxial deformation case as shown in Fig. 6.1 was used to determine the strain energy under uniform stress with zero body force. Determine this strain energy for the case in which the stress varies continuously as a function of x and also include the effect of a body force F_x. Neglecting higher-order terms, show that the result is the same as previously given by (6.1.4).

Fig 6.1

Equation 6.1 .4

Transcribed Image Text:

0 //5 ne 1 +n X dz n dx dy Z