Mechanics_of_Materials_Chap_02-07

# Mechanics_of_Materials_Chap_02-07 - Stress Concentrations...

This preview shows pages 1–4. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Stress Concentrations The problems for Section 2.10 are to be solved by considering the stress-concentration factors and assuming linearly elastic behavior. Problem 2.10-1 The flat bars shown in parts (a) and (b) of the figure are subjected to tensile forces P 5 3.0 k. Each bar has thickness t 5 0.25 in. (a) For the bar with a circular hole, determine the maximum stresses for hole diameters d 5 1 in. and d 5 2 in. if the width b 5 6.0 in. (b) For the stepped bar with shoulder fillets, determine the maximum stresses for fillet radii R 5 0.25 in. and R 5 0.5 in. if the bar widths are b 5 4.0 in. and c 5 2.5 in. Solution 2.10-1 Flat bars in tension 160 CHAPTER 2 Axially Loaded Numbers P P P P b d b (a) c R P 5 3.0 k t 5 0.25 in. (a) B AR WITH CIRCULAR HOLE ( b 5 6 in.) Obtain K from Fig. 2-63 F OR d 5 1 in.: c 5 b 2 d 5 5 in. d / b 5 K < 2.60 s max 5 k s nom < For d 5 2 in.: c 5 b 2 d 5 4 in. d / b 5 K < 2.31 s max 5 K s nom < 6.9 ksi — 1 3 s nom 5 P ct 5 3.0 k (4 in.)(0.25 in.) 5 3.00 ksi 6.2 ksi — 1 6 s nom 5 P ct 5 3.0 k (5 in.)(0.25 in.) 5 2.40 ksi (b) S TEPPED BAR WITH SHOULDER FILLETS b 5 4.0 in. c 5 2.5 in.; Obtain k from Fig. 2-64 F OR R 5 0.25 in.: R / c 5 0.1 b / c 5 1.60 k < 2.30 s max 5 K s nom < F OR R 5 0.5 in.: R / c 5 0.2 b / c 5 1.60 K < 1.87 s max 5 K s nom < 9.0 ksi — 11.0 ksi — s nom 5 P ct 5 3.0 k (2.5 in.)(0.25 in.) 5 4.80 ksi P P P P b d b (a) (b) c R = radius Probs. 2.10-1 and 2.10-2 SECTION 2.10 Stress Concentrations 161 Problem 2.10-2 The flat bars shown in parts (a) and (b) of the figure are subjected to tensile forces P 5 2.5 kN. Each bar has thickness t 5 5.0 mm. (a) For the bar with a circular hole, determine the maximum stresses for hole diameters d 5 12 mm and d 5 20 mm if the width b 5 60 mm. (b) For the stepped bar with shoulder fillets, determine the maximum stresses for fillet radii R 5 6 mm and R 5 10 mm if the bar widths are b 5 60 mm and c 5 40 mm. Solution 2.10-2 Flat bars in tension P P P P b d b (a) (b) c R = radius P 5 2.5 kN t 5 5.0 mm (a) B AR WITH CIRCULAR HOLE ( b 5 60 mm) Obtain k from Fig. 2-63 F OR d 5 12 mm: c 5 b 2 d 5 48 mm d / b 5 K < 2.51 s max 5 K s nom < F OR d 5 20 mm: c 5 b 2 d 5 40 mm d/b 5 K < 2.31 s max 5 K s nom < 29 MPa — 1 3 s nom 5 P ct 5 2.5 kN (40 mm)(5 mm) 5 12.50 MPa 26 MPa — 1 5 s nom 5 P ct 5 2.5 kN (48 mm)(5 mm) 5 10.42 MPa (b) S TEPPED BAR WITH SHOULDER FILLETS b 5 60 mm c 5 40 mm; Obtain K from Fig. 2-64 F OR R 5 6 mm: R/c 5 0.15 b/c 5 1.5 K < 2.00 s max 5 K s nom < F OR R 5 10 mm: R/c 5 0.25 b/c 5 1.5 K < 1.75 s max 5 K s nom < 22 MPa — 25 MPa — s nom 5 P ct 5 2.5 kN (40 mm)(5 mm) 5 12.50 MPa 162 CHAPTER 2 Axially Loaded Numbers Problem 2.10-4 A round brass bar of diameter d 1 5 20 mm has upset ends of diameter d 2 5 26 mm (see figure). The lengths of the segments of the bar are L 1 5 0.3 m and L 2 5 0.1 m....
View Full Document

{[ snackBarMessage ]}

### Page1 / 21

Mechanics_of_Materials_Chap_02-07 - Stress Concentrations...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online