Reinforced Thin-plate Beam. 283 



cases, we have 



B.I.^ = M.+«'E.i; y -H^Zf!5! 



ax 2, a 2 



where P = ??i 2 E .1 denotes the pull along the beam. 



If ^ = tan 0=0, 



dx 



d?y_d0__ Ma_ 2 iv (a 2 -x 2 ) 

 dx 2 ~ dx ~E.l + mi/ 2E.I 



and d 2 9/1 wx 



or e=,A.er + B.er-^ 1 



and E . I p- t = E . I f- = m . E . I(A . «T-B . ^""j - ~ ■ 

 dx' dx • ' m 2 



When* = «, J = 0, or A.« ~+B.V"= JlTI' 



5? 



* = *, g = <£, or A.* r + B r * - = J^ I + *: 



f. *., A = w(a . e ~ "" - n . g " wm ) - m 2 E . I <ft e~ 



~ "m 2 E.I(^ (a - B) -^ m(a " n) ) 



/ ma m»\ , 2 xn T j. «w 



m 2 E.I(^ l(a - n) -^- w(a - n) ) 

 and 



^S 



m(a;— n) — m(x— n)\ / wi(a— .r) -m(a-xp 



m 1 ^ ,(o - fl) -^ - w {a ~ n) 1 



£<J — c 



