Question 7.134: Determine the normal force, shear force, and moment at point...
Determine the normal force, shear force, and moment at points B and C of the beam.
Free body Diagram: The support reactions need not be computed for this case.
Internal Forces: Applying the equations of equilibrium to segment DC [FBD (a)], we have
\overset{+}{\longrightarrow } \Sigma F_x=0 ; \quad N_C=0
+↑\Sigma F_y=0 ; \quad V_C-3.00-6=0 \quad V_C=9.00 \mathrm{kN}
\hookrightarrow +\Sigma M_C=0 ; \quad-M_C-3.00(1.5)-6(3)-40=0
M_C=-62.5 \mathrm{kN} \cdot \mathrm{m}
Applying the equations of equilibrium to segment DB [FBD (b)], we have
\overset{+}{\longrightarrow } \Sigma F_x=0 ; \quad N_B=0
+↑\Sigma F_y=0 ; \quad V_B-10.0-7.5-4.00-6=0
V_B=27.5 \mathrm{kN}
\hookrightarrow +\Sigma M_B=0 ; \quad-M_B-10.0(2.5)-7.5(5)-4.00(7)-6(9)-40=0M_B=-184.5 \mathrm{kN} \cdot \mathrm{m}
Related Answered Questions
Question: 7.51
Verified Answer:
For 0 \leq x \leq L
\hookri...
Question: 7.139
Verified Answer:
For 0^{\circ} \leq \theta \leq 180^{\circ}[...
Question: 7.138
Verified Answer:
\overset{+}{\longrightarrow } \Sigma F_x=0...
Question: 7.137
Verified Answer:
Support Reactions: From FBD (a),
\hookright...
Question: 7.136
Verified Answer:
As shown in Fig. a, the orgin of the x, y coordina...
Question: 7.132
Verified Answer:
x=\int \frac{d s}{\left\{1+\frac{1}{F_H^2}...
Question: 7.131
Verified Answer:
T=\frac{250}{\sin 30^{\circ}}=500 \mathrm...
Question: 7.130
Verified Answer:
Support Reactions: The 6 kN load can be replacde b...