CVE 40002~S1~2014 Tutorial 01 Solutions Qu 1 a. < P a > A RyA SFD L P(L-a) L BMD P(L-a)a L Def Shape Compression Tension P P b. € A a > RyA SFD a € +) EM@ A = 0 B > RyB Rys.L - Pa = 0 Ry B RyA Pa · Pa T · P(L-a) 9 Pa L Mmax = RyB. (L-a) = Pa (L-a) C- Compression force T- Tension force B L TRYB < P BMD V Pa Def Shape C T From symmetry P RyA = RyB = P T Mmax = P. a Vmax = P
c. L/2 V A P/2 B P RyA RyB L 1 L/4 7 SFD 5 BMD DefShape P/2 Straight line No bending in this section PL 4 V C T EM@AEO P RyB·L-?-?·P=0 RyB = ?P ? RyA = 0 d. SFD 1 k L/4 wL 2 A RyA BMD wL2 32 Def Shape T C w (kN/m) L 3wL2 32 Points of contraflexure C T B L/4 RyB wL 4 wL 2 i i i I i w1.2 32 T C From symmetry RyA = RyB EFg = 0 + RyA + RyB = U w RyA = RyB + 3WL Point of Contraflexare is located at distance of x= 4/15 from supports.
e. A w (kN/m) > RyA F L > SFD wL BMD wL2 2 Def Shape T C f. w (kN/m) A B L RyA SFD 7wL 8 wL 8 BMD 3wL2 8 Def Shape L/4 * C Ryc wL 8 wL2 128 T C C T FEM@A=Q : MA = WOLF RyA = WLT For member BC 1 Ry BR Rye DEM@B = O : Rye = wL + RyBR = ? RyBL = ?? For member AB MA RyBL MA = RyBL· ?+ ? ~. ? : BWL2 RyA = 700L +