{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

765_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

# 765_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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

SECTION 9.7 Nonprismatic Beams 759 Problem 9.7-4 A simple beam ABCD has moment of inertia I near the supports and moment of inertia 2 I in the middle region, as shown in the figure. A uniform load of intensity q acts over the entire length of the beam. Determine the equations of the deflection curve for the left-hand half of the beam. Also, find the angle of rotation u A at the left-hand support and the deflection d max at the midpoint. q A L 2 I I I B C D L 4 L 4 Solution 9.7-4 Simple beam (nonprismatic) Use the bending-moment equation (Eq. 9-12a). R EACTIONS , BENDING MOMENT , AND DEFLECTION CURVE B . C . 1 Symmetry: (5) S LOPE AT POINT B ( FROM THE RIGHT ) Substitute (6) B . C . 2 C ONTINUITY OF SLOPES AT POINT B ( ) Left ( ) Right From Eqs. (3) and (6): S LOPE OF THE BEAM ( FROM E QS . 3 AND 5) (7) (8) A NGLE OF ROTATION u A ( FROM EQ . 7) u A v ¿ (0) 7 qL 3 256 EI

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 ]}

### 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