Question

(4) Assuming all members in the pin-pointed truss below (taken from Q3, Unit 1: Additional Examples sheet) have A = 2000 mm’and E = 200 kN/mm², determine the vertical displacement at E. 4 m 4 m 4 m * 3 m А E H it 80 KN 80 KN Ans: {vertical displacement 8E = - 1.43 mm (upwards)}

2nd pic is reference (Q3 Unit 1)

Answer 1

4m В um um um 3m IL 80N tegory we can use unit load Method to determine vectoral deflech on @ E. e Apply load at Unit down wilds & find the E Menser. Esces all the Carried by B с f er J 52.13 A E (- Ev @D=0 0.5 0:5 fcd -05 C compression) 0.5 &v=o., fce. Cos 53.12 fce - 5/6 Tensoon)

SH=0. FEC. Sim 53.13 + FCE=0 FCF= -S din 53.13. -213 (c) 6 Sivao fre. 300 (Sin 36-86 ) +FCF-I = 0 Fera 0.5 (T) @fonnt R Eiro -fee. Con 36.8 6 + fE H = 0 & EH = 913 (T) @ E {v=o -FFE ffre. Cos 53.13 - (0.5) -slo cus53 ffle (c) 13 &H=0 Eslo) * & in 53.13 + f fel co -813 = fflg =

fejre=o. @H Suco. fete. Sim (36-86). +0.5 g fejre =0 Fest= (Cheeb sah spled t

Si Member load due to External hood Load due to L PKL Unit Coad AB 3 อ AD 4 4 BC 106.67 5 - 132.33 BD -05 3 o C D h CE 516 CF 166.87 -213 4 284.53 БЕ -106.62 O 4 0 213 EH - 106.87 4 -086-53 G ع 0.5 3 F F -213 -284.33 F G 4 106.7 -516 5 O no I 0 3 GH - go e 133.33 छ ५ a 3 O 4 HI -106.62 0 I] o 3

Sule (KL) 853 6 - 9:134*103 11 m 200 * 2000 SuJe -2.136 mm = .. vertical deflection 2.136 mm down words. > Stay safe À Please upvote the Answer