{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

768_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

# 768_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

This preview shows pages 1–2. Sign up to view the full content.

762 CHAPTER 9 Deflections of Beams Solution 9.7-6 Simple beam (nonprismatic) Use the bending-moment equation (Eq. 9-12a). D EFLECTION CURVE (7) B . C . 2 Deflection at support A n (0) 0 From Eq. (6): C 3 0 (8) B . C . 3 Deflection at support C B . C . 4 Continuity of deflections at point B ( n B ) Left ( n B ) Right From Eqs. (6), (8), and (7): (10) S OLVE EQS . (5), (8), (9), AND (10) S LOPES OF THE BEAM ( FROM EQS . 3 AND 4) ¿ 2 P 729 EI (19 L 2 81 x 2 ) a 0 x L 3 b (11) C 4 13 PL 3 1458 C 1 38 PL 2 729 C 2 175 PL 2 1458 C 3 0 C 1 L 10 PL 3 243 + C 2 L + 3 C 4 + C 2 a L 3 b + C 4 P 18 a L 3 b 3 4 P 54 a L 3 b 3 + C 1 a L 3 b PL 6 a L 3 b 2 v ( L ) 0 From Eq. (7): C 4 PL 3 9 C 2 L (9) a L 3 x L b EI PLx 2 6 Px 3 18 + C 2 x + C 4 B ENDING - MOMENT EQUATIONS (1) (2) I NTEGRATE EACH EQUATION (3) (4) B . C . 1 Continuity of slopes at point B ( n B ) Left ( n B ) Right From Eqs. (3) and (4): I NTEGRATE E QS . (3) AND (4) (6) EI 4 Px 3 54 + C 1 x + C 3 a 0 x L 3 b C 2 C 1 11 PL 2 162 (5) 4 P 18 a L 3 b 2 + C 1 PL 3 a L 3 b P 6 a L 3 b 2 + C 2 EI ¿ PLx 3 Px 2 2 + C 2 a L 3 x

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.

{[ snackBarMessage ]}

### Page1 / 48

768_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online