Question

A pin-connected beam AC shown in Figure is supported by 1.6m of strut BD. The beam is subjected to uniformly distributed load of 20 kN/m at 2.5m from A and an inclined concentrated load of 30 KN with 30℃ angle at respectively. The beam has a constant cross-sectional area of Abm = 0.004 m² and the strut has a constant cross sectional area of Ast = 0.002 m² respectively. The diameter of all pins is 20 mm.

 I. Determine the resultant internal loadings in the beam at point E 

Il. Calculate the normal stress acting in the beam at point E 

IlI. Calculate the average shear stress in 20 mm diameter of pin at joint A. 

IV. If the loads on the beam caused the strut to elongate, determine the vertical displacement of strut. Take Young Modulus of the strut as 200 GPa. 

Answer 1

Sokitien 0 .6m 30 KN 2.0m FOD:- N/n Feo 30Sin 30 30 Coo 30 oo, thking momt abait port A +72 -3.8 F 62. F8D 35 33 K (6) Nonal or ocul Jood at E P 30 30 25.98N

10. 31 MN or 10.33 KN ( ing momant atE (-30s 2 b Nowmal Shreas at E 0.004 m2 F80- 3030 Pin 1 20- 30o 30 9-30630 12.33 13M 2-

て。 3. 月 兀 41380 KN/m2 d). vedcal dophomnt en) 80 PXE 35.31 x 1.6 0-002 X200 xio6 0. A 156 mm (J

Answer 2

Member shown in figure is subjected to a vevtical force of 45KN