本帖最后由 泼墨 于 2013-12-19 19:24 编辑
4 l6 Z m9 ^! r, O6 o, b9 X
$ l; p. }+ S. U3 x0 N: C uTwo metallic beams a and c are fixed to a block as shown below. Both beam a and beam c remain perpendicular
( h- K5 {0 }$ C! ^8 j1 T5 c% x$ ?; r- Mto block b at the connecting points. Beam a is attached to a wall and it remains perpendicular to the wall at the
2 c; T' N L& a$ F1 Y( o5 Tother end. Beam c is passed through a hole in the wall. Direction of the hole is perpendicular to the wall surface.
5 y) H- X6 C6 R$ r* iRelated dimensions are shown on the diagram. The diagram is in millimeter. Beams a and c have a circular 4 M% F( B7 S. K- T
cross-section with a diameter of 0.7mm. The Young’s modulus is 70 GPa. Both beam a and beam c are initially " D5 g: ]% _4 ?! I# A9 ~3 i
straight.
( ~& O }: [* z4 Y# @Neglect gravity. Assume a perfect linear relationship between stress and strain for beams a and c . Neglect axial
8 `) j: ]# L6 d9 H; Q- P6 Q: V& P$ Velongation or compression of beams a and c . % J& W! W4 a3 W9 d
Using elliptic integrals, derive relevant entities to predict the final shapes of beams a and c when beam c is pulled
; e) R, d# x5 l+ v( L2 X) ufor 10 mm in the indicated direction.
) H. z+ x1 ?& _+ t+ n, qUse Matlab to implement your derivations and plot the deflected shapes of beams a and c in a figure. You should
O4 `% b: {$ J! H1 g* h3 g5 talso plot block b at the desired position. Please make sure your plot has a correct X-Y scale so that the figure m7 q& s9 l2 {0 y$ m+ ~
looks realistic.
& v! H& Y5 L- s+ E4 }# h: IPlease also compare how close the deflected shapes of beams a and c are to circular arcs, by drawing circular arcs : m. @! J+ A- \) A
which pass through the two ends of beams a and c . The circular arcs should also be perpendicular to the wall 5 S/ y+ A' O+ P
surface at one end. ' A& j! [- B0 a# D" V7 ]
|
发表于 2013-12-19 19:22:36
QQ好友和群
收藏
淘帖
问题专业，描述清楚
伸手党/灌水/看不懂
楼主
