Question

Complete the shear moment diagram

The industrial robot is held in the stationary position shown. Draw the shear and moment diagrams of the arm ABC if it is pin connected at A and connected to a hydraulic cylinder (two-force member) BD. Assume the arm and grip have a uniform weight of 1.5 lb/in. and support the load of 40 lb at C. 4 in. -10 in. А BI -50 in. tc 120° D

Answer 1

© Anscuen 40 lb Axt sin roin * soin *e ay take moments about point. A EMA=0 -40 X 60-1.5X64.x (32-4)+ RB sin 60'X10 =0 RB = 587.5116N apply force equilibrium equanon Ex=0 AH- RB COS 60 = 0 AZ 587 5116COS 60 Aux = 2.93.7558 lb. EFY-0 Ayt. RBSIn 60°-1.5X64-40-0 AY = -372-84b. shearr Force at diffrent points Vareft = -1.5 X 40 - 6 lb Varignta Ay-6 = -372.6 lb VBlert Ay - 11:5*14) -393. seb Ay- (1.5 x 14) RB sin 60 -.372.8 21+ 587.5116 sinfo = 114:991b. Vc= Ay--(1.5.X64) + RB Sin 60-40 - 372.8-96 + 587.5116 sin 60-40 VB right

- now bending moment. MA: -1,5 X 4 X 2 -12 lb-in MB= -1.5x14x7+ RAY X 10 = -147- 372.8x10 = - 3875 lb-in re: -1.5 X 64X32+ RAY X 60 + RBSIN 60X50 SF & Bm diagram Is edin 1401b B С. 115 eb 40lb. arg -393-84b -12 lb in - (3875 ebin
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