1

1.573J/2.080J Structural Mechanics Fall 2013 Quiz 1 Review (not graded) Problem 1

by

:

folload

loweding:

a c

oncentrated load located at a distance l a from the left support. D

Ietermine the

a)b) T Thhe d

c) Thee sloeflecte

ticffantieon

d o shape of the beam

under the loadss. off mathe

x bimueam,

m wdehfilcehc tiiso tnh e relationship between load and the deflection

de)) CThheec pkr foofril teh oef csohnetairn ustitrye scsoensd and bending moment

unknown integration constants andition

bound under

ar thy/continuity conde point load and count the number of

Pr f) Find

oblem 2

the l

:

oca

tion and magnitude maximum stress in the beam.itions

Change the boundary conditions from simply supported to clamped at both ends and

Consider a simply supported elastic beam of length and moment of inertia . The beam is

discuss how the solution method would change, in particular, would the number of integration constants and boundary/continuity conditions be the same as in Problem 1

MIT OpenCourseWarehttp://ocw.mit.edu

2.080J / 1.573J Structural MechanicsFall 2013

For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms.

http://ocw.mit.eduhttp://ocw.mit.edu/terms