Mechanics of materials Review of basic deformations
Mechanics of Materials
基本形复习
Review of basic deformations Tension( Compression T orson Plane bending A Interna N MAN M O M>0 for N>0 M>0 x-Axle of the x— Axle of the x-Parallel to the axle of the>0 pole dle Stress Mi (x y OS p)= b A B x Deforma tio f 0= d △E d DAB EA ABG f(x er o-f
Tension( Compression) Torsion Plane bending Internal force Stress Deforma tion N N > 0 x— Axle of the pole A Mn > 0 x— Axle of the pole A Mn A M Q M > 0 x—Parallel to the axle of the Q > 0 pole x s A N(x) s= L ( ) d ( ) L N x L x EA x = O t r p n I M r t (r)= z x I My s = s t x y z z y bI QS t = A B x GI M LAB p n AB d = q u f x q= f´ u= f EI M x f x ( ) ( )=−
基本氯习 拉(压)扭转 平面弯曲 A N MAN M 内力 N>0 M>0 x平行于杆额。 O M x杆轴 0 x杆轴 x 应 力 N(x) My p)= A b A B 变 L x 形a=(N(x)dx f 0= (P AB JLAB ULP d M(x) E4(x) f"(x) E B=f
拉 （压） 扭 转 平面弯曲 内力应力变形 N N > 0 x—杆轴A Mn > 0 x—杆轴A Mn A M Q M > 0 Q > 0 x—平行于杆轴 xs AN(x ) s = L x EA x N x L L d ( ) ( ) d = O t r pn I M r t ( r) = z x I My s = s t x y zz y bI QS t = A B x GI M LAB pn AB d = q u f x q= f ´ u= f EI M x f x ( ) ( ) = −
Review of basic deformations Tension( Compression) Torsion Plane bending Strength max mNYo]rms可] conditions max A0 N M max nImax min W≥ [o] [a] Nm≤ M≤W[ Imax Mmx swol Rigidity conditions U/mL「f 0m6 0x <61 Strain energy =/M2(x MA(x M(x Lx UFJ QGI U L 2EA JL 2EL
Tension( Compression) Torsion Plane bending Strength conditions Rigidity conditions Strain energy [ ] s max s [ ] max min s N A [ ] Nmax A s [ ] max t t [ ] | | max t n t M W max [ ] M W n t t [ ] s max s [ ] max t t [ ] max s M Wz [ ] Mmax Wz s [ ] q max q q max [q] L f L |f max | x EA N x U L d 2 ( ) 2 = x GI M x U L n d 2 ( ) 2 = x EI M x U L d 2 ( ) 2 =