tailieunhanh - Mechanics of Materials Hibbeler 4th-Chapter Episode 11

Tham khảo tài liệu 'mechanics of materials hibbeler 4th-chapter episode 11', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | 12-101 The widcflange beam acts as a cantilever. Due to an error it is installed at an angle 0 with the vertical. Determine the ratio of its deflection in the X direction to its deflection in the y direction at A when a load p is applied at this point. The moments of inertia are Jx and r For the solution resolve p into components and use the method of superposition. Nolt The result indicates that large lateral deflections x direction can occur in narrow beams ly lt when they are improperly installed in this manner. To show this numerically compute the deflections in the X and y directions for am A-36 steel W10 X 15. with p kip. Q 10 . and L 12 ft. max p cos ở L3 3EIX p sinG I 3Ely 4 4 Anax Jmax p cosớ L5 3 El. Ans w 10x15 4 in4 Ỉ in4 ymax cosl0 144 3 3 29 103 in. Ans Anax sinio 144 3 3 29 103 in 12-102. The framework consists of two A-36 steel cantilevered beams CD and BA and a simply supported beam CB. If each beam is made of steel and has a moment of inertia about its principal axis of 118 in4 determine the deflection at the center G of beam CB. LẽfI6 _ I - - X 3EI 3E1 El O-PL3 - 15 163 1 280 48 7 4ÌEI El _ 10 240 1 280 11 520 El El ẼT _ WO XJW -Win-ị An 12-103. Determine the reactions at the supports A and Ổ then draw the shear and moment diagrams. Use discontinuity functions. El is constant. Boundary condiooru 0 M J-0 From Eq. 4 C -0 0 M X L From Eq. 4 .0 . . From Eq. 3 Sohr in I Eqs. 5 aod 6 yield . I .is An. 16 32 SubstáutS - PmtoEq . l jd 2 . 16 .