本帖最后由 泼墨 于 2013-12-19 19:24 编辑
& t: H; X- Q, F# t- i4 c& j' V
7 U6 v8 G0 }, y% A; Z3 [Two metallic beams a and c are fixed to a block as shown below. Both beam a and beam c remain perpendicular
V }7 i8 N! a/ c# `to block b at the connecting points. Beam a is attached to a wall and it remains perpendicular to the wall at the & p! ` R& O0 B* a$ }3 N0 F
other end. Beam c is passed through a hole in the wall. Direction of the hole is perpendicular to the wall surface.
! v. c4 D* z1 E- z# `Related dimensions are shown on the diagram. The diagram is in millimeter. Beams a and c have a circular
' `( X- K. a% r! Rcross-section with a diameter of 0.7mm. The Young’s modulus is 70 GPa. Both beam a and beam c are initially ! X( R& C: m' M4 T4 T# C
straight.
, E+ g f$ s3 N4 B& zNeglect gravity. Assume a perfect linear relationship between stress and strain for beams a and c . Neglect axial
* p7 m8 B1 f' F8 delongation or compression of beams a and c . 7 ~. c. F9 s" i6 q. q7 T1 e
Using elliptic integrals, derive relevant entities to predict the final shapes of beams a and c when beam c is pulled ) G) D4 n( ]- f+ C. v5 p
for 10 mm in the indicated direction.
; z. _( ]$ R: |; `- \9 H9 O! z$ MUse Matlab to implement your derivations and plot the deflected shapes of beams a and c in a figure. You should
, q- o8 w6 n+ X! Oalso plot block b at the desired position. Please make sure your plot has a correct X-Y scale so that the figure ' _# R1 R) _8 c& V
looks realistic. 6 }6 U9 V+ I3 j( o5 m9 {8 P7 i+ b, X
Please also compare how close the deflected shapes of beams a and c are to circular arcs, by drawing circular arcs ' G" b% h: y! h$ Z' |/ c+ j
which pass through the two ends of beams a and c . The circular arcs should also be perpendicular to the wall / l! q6 U0 C& k: X( I* C4 R) C
surface at one end.
- Q9 ^" o( L' e. B5 I |
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
