Question

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Problem # 1 For the plane truss shown below: (a) Prove that the truss is statically determinate. (b) Determine the member forces for members ab, bc, gc, fe, and bg. Specify whether they are in tension or compression. 14 kip 10 kip 10 kip 8 ft d 6 ft f h 8 kip 8 kip 12 ft 9 ft 12 ft 9 ft j= m= DE F F e

Answer 1

Splution o kip Jokip 2. Re 8 kip 8 kip of Joits ih thu truss, - 8 ho- For staticalty determinate, no of 21-3 members - 3X8-3 total members n the tuss is 13 Hence, determinate Ao touss is staticaly Re and Re be the vertHeal Aubboxt reactions Let respectively a and e, support at Σfy-o gives Rat Re= So, l0t10+14+ 8 +8 Rat Re 50 kip 18 x33 니2x Re 18 xg t 14x 21 = 25 p Ra 25 ktp Cfrom equation

FBD of Joint a . fal 33.69 Fah 1 as hip fai sin 33.69 25-0 Fab 45.06g kip Clampressive Egies Fah Fal Cos 33 69 FBD of joint h Fah =37 50 kipCTensile) Fih Fah 8kip (Tensile) Fsh 37 So kip Tensile) hFah anp FeD of joit 12 )2 1333 9 1つ fal pit S9と-人 0-リ3 u069xos33.69t fBc Cos33.6qt flos26t- o.832 fiet o.894f Co$26.56 O Fat os 33.69t ficCos 3 3-69"4 fip --37.5 kip

Fab Sin 33.69- lo t Sin33 69 g Sin 26 S6 4S06sih 33 69 04554FC 71f -IS kip rom equatten 24.80 kip Copressine 9:56 ki Ceompressie F8D af joint e Fy0gines Fde Fde Sih 33.69+35- fef Fde 45.069 kip Cnpressive 2Skip o33 69 FefFdeCos 33 69 us-069-Cas 33 6T Fef= 37.5 kip Tensile