Table 8 Comparison between exact and approximate buckling loads \({P}_{cr}\) (nN) for the simply supported based on nonlocal Euler–Bernoulli beam model.
\(e_{0}a\) (nm) | 0 | 1 | 2 | ||||||
|---|---|---|---|---|---|---|---|---|---|
\(L/d\) | \({P}_{cr}\) (exact)107 | \({P}_{cr}\) (DTM)60 | \({P}_{cr}\)108 | \({P}_{cr}\) (exact)107 | \({P}_{cr}\) (DTM)60 | \({P}_{cr}\)108 | \({P}_{cr}\) (exact) 107 | \({P}_{cr}\) (DTM)60 | \({P}_{cr}\)108 |
10 | 4.8447 | 4.8447 | 4.8447 | 4.4095 | 4.4095 | 4.4095 | 4.0460 | 4.0460 | 4.0460 |
12 | 3.3644 | 3.3644 | 3.3644 | 3.1486 | 3.1486 | 3.1486 | 2.9588 | 2.9588 | 2.9588 |
14 | 2.4718 | 2.4718 | 2.4718 | 2.3533 | 2.3533 | 2.3533 | 2.2456 | 2.2456 | 2.2456 |
16 | 1.8925 | 1.8925 | 1.8925 | 1.8222 | 1.8222 | 1.8222 | 1.7569 | 1.7569 | 1.7569 |
18 | 1.4953 | 1.4953 | 1.4953 | 1.4511 | 1.4511 | 1.4511 | 1.4094 | 1.4094 | 1.4094 |
20 | 1.2112 | 1.2112 | 1.2112 | 1.1821 | 1.1821 | 1.1821 | 1.1542 | 1.1542 | 1.1542 |
