Final answer:
The selection of shoring members' size and spacing is influenced by the trench's dimensions and soil conditions, with previous rules of thumb indicating certain diameter spacing ratios. This selection is grounded in mathematical calculations to ensure structural integrity and safety of the trench.
Step-by-step explanation:
The selection of size and spacing of shoring members is indeed influenced by the height and width of the trench, as well as the soil conditions and expected loads. In a mathematical sense, Beth's observation about building proportions can be related to shoring, where the spacing between supporting elements is based on specific ratios. For instance, a traditional rule of thumb for shoring might involve a 5 to 8 ratio of diameter spacing side-to-side and a 7 to 15 ratio of diameter depth. However, these figures can vary based on current engineering practices and safety standards.
Using mathematics to determine the appropriate distances and sizes helps ensure the structural integrity of the shoring system, and by extension, the safety of the trench. As such, calculations based on ratios, such as those mentioned by Beth, are applicable in developing a secure shoring setup. It's critical to consult current engineering guidelines and best practices to make accurate and reliable decisions regarding the dimensions of shoring components.