{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

05-06ChapGere.0011

# 05-06ChapGere.0011 - that should be used in the notches(b...

This preview shows page 1. Sign up to view the full content.

Problem 5.13-4 A rectangular beam with semicircular notches, as shown in part (b) of the figure, has dimensions h 120 mm and h 1 100 mm. The maximum allowable bending stress in the plastic beam is max 6 MPa, and the bending moment is M 150 N m. Determine the minimum permissible width b min of the beam. Solution 5.13-4 Beam with semicircular notches SECTION 5.13 Stress Concentrations 373 h 120 mm h 1 100 mm max 6 MPa M 150 N m h h 1 2 R From Fig. 5-50: K 2.20 R h 1 10 mm 100 mm 0.10 R 1 2 ( h h 1 ) 10 mm Solve for b : b min 33 mm 6 MPa (2.20) B 6(150 N m) b (100 mm) 2 R s max K s nom K ¢ 6 M bh 2 1 Problem 5.13-5 A rectangular beam with notches and a hole (see figure) has dimensions h 5.5 in., h 1 5 in., and width b 1.6 in. The beam is subjected to a bending moment M 130 k-in., and the maximum allowable bending stress in the material (steel) is max 42,000 psi. (a) What is the smallest radius
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: that should be used in the notches? (b) What is the diameter d max of the largest hole that should be drilled at the midheight of the beam? Solution 5.13-5 Beam with notches and a hole M M d h 1 h 2 R h 5 5.5 in. h 1 5 5 in. b 5 1.6 in. M 5 130 k-in. s max 5 42,000 psi (a) M INIMUM NOTCH RADIUS From Fig. 5-50, with K 5 2.15 and , we get [ R min ø 0.090 h 1 5 0.45 in. R h 1 < 0.090 h h 1 5 1.1 K 5 s max s nom 5 42,000 psi 19,500 psi 5 2.15 s nom 5 6 M bh 2 1 5 19,500 psi h h 1 5 5.5 in. 5 in. 5 1.1 (b) L ARGEST HOLE DIAMETER Assume and use Eq. (5-56). or d 3 1 23.21 d 2 166.4 5 Solve numerically: d max 5 4.13 in. 42,000 psi 5 12(130 k-in.) d (1.6 in.) [ (5.5 in.) 3 2 d 3 ] s B 5 12 Md b ( h 3 2 d 3 ) d h 7 1 2 A-PDF Split DEMO : Purchase from www.A-PDF.com to remove the watermark...
View Full Document

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern