Correction to: Nano-scale effects on nonlocal boundary conditions for exact buckling analysis of nano-beams with different end conditions

Correction
  • 75 Downloads

1 Correction to: Journal of the Brazilian Society of Mechanical Sciences and Engineering (2018) 40:144  https://doi.org/10.1007/s40430-018-1076-x

The original version of this article unfortunately contained mistakes. In the Tables 1–4 the columns were out of order. The correct tables (Tables 1, 2, 3, 4) are given here. The original article has been corrected.
Table 1

Comparison of critical buckling loads for simply supported nano-beams

e0a (nm)

L/d = 10

L/d = 15

L/d = 20

NTBT

MNTBT

NTBT

MNTBT

NTBT

MNTBT

0.0

4.7565

4.7565

2.1335

2.1335

1.2040

1.2040

0.5

4.6438

4.6420

2.1108

2.1106

1.1966

1.1966

1.0

4.3357

4.3293

2.0454

2.0447

1.1751

1.1750

1.5

3.9039

3.8922

1.9432

1.9419

1.1409

1.1406

2.0

3.4262

3.4102

1.8167

1.8147

1.0962

1.0958

Table 2

Comparison of critical buckling loads for clamped nano-beams

e0a (nm)

L/d = 10

L/d = 15

L/d = 20

NTBT

MNTBT

NTBT

MNTBT

NTBT

MNTBT

0.0

18.1312

18.1312

8.3493

8.3493

4.7565

4.7565

0.5

16.5959

16.5024

8.0115

8.0018

4.6429

4.6411

1.0

13.2342

12.9992

7.1442

7.1136

4.3356

4.3292

1.5

9.8939

9.6020

6.0354

5.9861

3.9032

3.8915

2.0

7.3107

7.0299

4.9627

4.9035

3.4262

3.4102

Table 3

Comparison of critical buckling loads for cantilever nano-beams

e0a (nm)

L/d = 10

L/d = 15

L/d = 20

NTBT

MNTBT

NTBT

MNTBT

NTBT

MNTBT

0.0

1.2040

1.2040

0.5363

0.5363

0.3019

0.3019

0.5

1.1966

1.1966

0.5349

0.5349

0.3015

0.3015

1.0

1.1751

1.1750

0.5306

0.5306

0.3001

0.3001

1.5

1.1409

1.1407

0.5235

0.5234

0.2978

0.2978

2.0

1.0962

1.0958

0.5138

0.5138

0.2947

0.2947

Table 4

Comparison of critical buckling loads for propped cantilever nano-beams

e0a (nm)

L/d = 10

L/d = 15

L/d = 20

NTBT

MNTBT

NTBT

MNTBT

NTBT

MNTBT

0.0

9.5622

9.5622

4.3295

4.3295

2.4514

2.4514

0.5

9.1173

9.1028

4.2368

4.2354

2.4208

2.4206

1.0

8.0005

7.9561

3.9811

3.9763

2.3345

2.3336

1.5

6.6442

6.5756

3.6113

3.6023

2.2031

2.2012

2.0

5.3697

5.2903

3.1977

3.1850

2.0425

2.0396

Copyright information

© The Brazilian Society of Mechanical Sciences and Engineering 2018

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringPayame Noor UniversityTehranIran

Personalised recommendations