Question

The structural system shown in the figure is determined, using the moment area method to determine the value of the deflection and slope of point C, that has been identified on the beam. The stiffness value is in accordance with what is shown in the figure, the cross section of the beam is uniform and constant

12 kN/m c3eІ ZEI В A 1 2.4om 3.40 m 5.80 m

Answer 1

SED IBM) 12 kN/m 3er 2E1 NA 8 >3.40 -> 2.um. SED To find the deflections at c by Moment-area method. we have use graph of M ET BMD i deflection do= ma ET dra Pores under crime sumin tec) 5-8 O 2.4 2 - 12 (2-1.23² M = 12x62-1-2) KLAAS cha Ee. I '12 (x-1-2) 5.8 chet 12 24 2.4 (Carl 518 dat EL (x-1-2) ² x da 812 (8-1-2, ²x de 2-12) 1.2 2.4 23-2-42 +144)ola (2²_2.42 +1:44) cho EI 1.2 S. 8 ET (23_2.400 +1.44x) da + 3 35 (x2 2.va? 41.442) 2 2x S x4 +3/4 ES 2.4 + tuua 3 2 Es ist + 3x (274.618 - 145.03 + 2 3+201002) ES 49.022 É1 | 49.03s + 448.983 de 498058 EL Hence, Deflection is given by /S= 498.058 cm EI CS