Deformation of Prism
SOM-PRISM
A prism with dimensions a = 180 mm, b = 130 mm, and height 310 mm is subjected to a vertical force of 610 kN. The Young's modulus of the material is 200000 MPa, and Poisson's ratio is 0.3. Determine the changes in dimensions during deformation.
This is a demonstration task — it isn't graded here. Add your own copy and it will appear under "My personal course" on the student page.
About this task
This task examines the deformation of a rectangular prism subjected to an axial compressive force. Students calculate the normal stress in the loaded cross-section, determine the longitudinal strain using Young’s modulus, and evaluate the lateral strains with Poisson’s ratio. Based on these values, they find the decrease in prism height and the increase in its two transverse dimensions. The exercise develops practical understanding of Hooke’s law, axial compression, Poisson effects, and dimensional changes in elastic materials. It is suitable for introductory strength of materials and mechanics of materials courses.