Question

Consider the following statements for the column with a bracket as shown in the figure given below:


1. Shear force is constant throughout
2. Maximum moment in the column is Pe
3. The compressive axial force in the column is 0.4 p

Which of these statement is/ are correct?

• A. 1,2 and 3
• B. 1 only
• C. 1 and 3
• D. 2 only

Answer 1

The correct option is C 1 and 3

(c)

The deformation of point C in the downward direction will cause tensile stresses in part BC and compressive stress in part CA. Using strain compatibility at C.

$\frac{P_{BC}{L}_{BC}}{EA}=\frac{P_{CA}{L}_{CA}}{EA}$

$\therefore P_{BC}\times 4=P_{CA}\times 6$

$\Rightarrow P_{BC}=1.5P_{CA}$

$P_{BC}+P_{CA}=P$

$P_{CA}=0.4P$

$P_{BC}=0.6P$
The horizontal reaction at supports
$V=\frac{pe}{10}$
Thus shear force is constant throughout the column.
Maximum bending moment is 0.6 pe.