Task $1-$ Problem solving & Theory

$[95$ marks$]$

Question $1$

A simply supported beam of span $8m,$ carries the uniformly distributed load $(k\frac{N}{m})$ and three concentrated loads as shown in Figure $1.$ Also, it carries a uniformly distributed load between the points $D$ and $F.$ Maximum bending moment occurs between points $D$ and $F.$

$($a$)$ Calculate Support reactions, Shear Force $($SF$)$ and Bending Moment $($BM$).$ Draw the SF and $BM$ diagrams for the beam. Also, calculate the location of maximum bending moment from A and its magnitude.

$[25]$

Central Quality Office

Rev: ${0226}^{th}$ March $2021$

$1$

F$/$QAP$/021/001$

$($b$)$ What is the difference between point of contra flexure? Draw the bending moment shape of single and double overhanging beam carries UDL throughout its length. Also, mention the number of point of contra flexure$($s$)$ arise in both the beams.

$[10]$

Figure $1.$ Loading Diagram of a simply supported beam

SOLVE QUESTION $1($a&b$)$

GIVEN DATA :

w$=20$

W$1=7$

W$2=8$

W$3=3$

In Q$1($b$)$ draw