Question 9.13: Draw SFD and BMD for the cantilever beam as shown in Fig. 9....

Draw SFD and BMD for the cantilever beam as shown in Fig. 9.21.

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Shear Force Diagram:

(S F)_{X_{1} X_{1}^{1}}=+\frac{1}{2} \times x_{1} \times h

The intensity of load at 6 m is = 24 kN/m

The intensity of load at x_{1} will be, h =\frac{24 \times x_{1}}{6}=4 \cdot x _{1}

(S F)_{X_{1} X_{1}^{1}}=+\frac{1}{2} \times x_{1} \times 4 x_{1}

=2.x_{1}^{2}

(S F)_{B}=0

(S F)_{A}=2 (6)^{2}

= 72 kN

Bending Moment Diagram:

(B M)_{X_{1} X_{1}^{1}}=-\left(\frac{1}{2}+x_{1} \times 4 x_{1}\right) \times \frac{x_{1}}{3}

(B M)_{B}=0

(B M)_{A}=-\frac{1}{2} \times 6 \times 4 \times 6 \times \frac{6}{3}

= −144 kNm

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