Engineering at Alberta Courses

Problems: Chapter 5

1- Determine the support reactions and the force in the cable.

Answer

$A_x = 212.4 \text { N} \rightarrow,\quad A_y = 367.9\text{ N} \uparrow, \quad T = 245.3 \text{ N Tension}$

2- Determine the Support Reactions.

Answer

$A_x = 0.0 \text{ kN},\quad A_y = 0.1\text{ kN}\downarrow,\quad B_y = 0.1 \text{ kN}\uparrow$

3- Determine the magnitudes of the cable forces for the two cases shown.

Answer

Case (a): $T=10\text { kN}$ . Case (b) $T=5\text { kN}$

4- Determine the support reactions.

Answer

$A_x = 0\text { kN}, \quad, A_y=36.3\text{ kN}\uparrow,\quad B_y=19.7\text{ kN}\uparrow$

5- Determine the support reactions. Express the support reactions in the direction of the Cartesian axes x and y shown at the support.

Answer

$\begin{split}A_x &= 15\text{ kN}\nearrow \\A_y &= 20\text{ kN}\nwarrow\\M_A &= 183\text{ kN.m}\circlearrowleft\end{split}$

6- A structure (frame) is supported by the ground as shown. The soil under the supports of the structure can resist a maximum pressure of $100 kN/m^2$ . If the area of each foundation under each support of the structure is $5 m^2$ , determine the maximum intensity ( $w$ ) of the load (applied over the span of the structure) that does not cause pressure higher than the maximum permissible pressure of the soil under the supports (foundations). Assume that the pressure caused by the foundations is uniformly distributed on the soil underneath.

Answer

$w = 143 \text{ kN/m}$

7- Determine the support reactions.

Answer

$\begin{split}A_x&=0\text{ kN},\quad A_y= 20\text{ kN} \uparrow,\quad M_A=40\text{ kN.m}\circlearrowleft \\B_x&=0\text{ kN},\quad B_y= 10 \text { kN} \downarrow,\quad M_B=20\text{ kN.m}\circlearrowleft\end{split}$