Resources for Structural Engineers and Engineering Students

### Question 1

$ILM_B=\frac{3}{8}x$ for $0 \leqslant x \leqslant 5\mathrm{\,m}$
$ILM_B=5-\frac{5}{8}x$ for $5\mathrm{\,m} \leqslant x \leqslant 8\mathrm{\,m}$
With distributed load and point load anywhere: $A_y=178\mathrm{\,kN}\uparrow$

### Question 2

$ILV_C=\frac{1}{2}-\frac{1}{6}x$ for $0 \leqslant x \leqslant 6\mathrm{\,m}$
$ILV_C=\frac{3}{2}-\frac{1}{6}x$ for $6\mathrm{\,m} \leqslant x \leqslant 12\mathrm{\,m}$
With distributed load and point load anywhere: $M_{C,max}=219\mathrm{\,kNm}$

### Question 3

$ILM_B=0$ for $0 \leqslant x \leqslant 6\mathrm{\,m}$
$ILM_B=6-x$ for $6\mathrm{\,m} \leqslant x \leqslant 11\mathrm{\,m}$
With distributed load and point load anywhere: $M_{A,max}=2490\mathrm{\,kNm}$

### Question 4

$ILC_y=0.167x$ for $0 \leqslant x \leqslant 8.5\mathrm{\,m}$
$ILC_y=6.23-0.567x$ for $8.5\mathrm{\,m} \leqslant x \leqslant 15\mathrm{\,m}$
With distributed load and point load anywhere: $V_{D,max}=182.4\mathrm{\,kN}$

### Question 5

$ILV_C=0.429-0.143x$ for $0 \leqslant x \leqslant 6\mathrm{\,m}$
$ILV_C=1.429-0.143x$ for $6\mathrm{\,m} \leqslant x \leqslant 10\mathrm{\,m}$

### Question 6

$ILM_D=-x$ for $0 \leqslant x \leqslant 6\mathrm{\,m}$
$ILM_D=\frac{3}{2}x-15$ for $6\mathrm{\,m} \leqslant x \leqslant 10\mathrm{\,m}$

### Question 7

$ILM_A(4\mathrm{\,m})=-4.0$, $ILM_A(12\mathrm{\,m})=2.4$,
$ILV_B(4\mathrm{\,m}left)=0$, $ILV_B(4\mathrm{\,m}right)=1.0$, $ILV_B(12\mathrm{\,m})=-0.6$

### Question 8

$ILM_B(4\mathrm{\,m})=1.333$, $ILM_B(8\mathrm{\,m})=-1.333$,
$ILV_B(4\mathrm{\,m}left)=-0.667$, $ILV_B(4\mathrm{\,m}right)=0.333$, $ILV_B(8\mathrm{\,m})=-0.333$

### Question 9

$ILM_C(5\mathrm{\,m})=-4.0$, $ILM_C(9\mathrm{\,m})=0$,
$ILV_B(5\mathrm{\,m}left)=-1.0$, $ILV_B(5\mathrm{\,m}right)=0$

### Question 10

$ILM_B(8\mathrm{\,m})=2.18$, $ILM_B(11\mathrm{\,m})=0$,
$ILV_B(8\mathrm{\,m}left)=-0.727$, $ILV_B(8\mathrm{\,m}right)=0.273$, $ILV_B(11\mathrm{\,m})=0$

### Question 11

$ILF_{AH}(5\mathrm{\,m})=-0.975$, $ILF_{AH}(10\mathrm{\,m})=-0.651$,
$ILF_{BC}(5\mathrm{\,m})=0.625$, $ILF_{BC}(10\mathrm{\,m})=0.417$

### Question 12

$ILF_{FH}(4\mathrm{\,m})=-1.25$, $ILF_{FH}(8\mathrm{\,m})=-0.83$,
$ILF_{BH}(4\mathrm{\,m})=1.2$, $ILF_{BH}(8\mathrm{\,m})=0$
With truck load:$F_{AF,max}=112\mathrm{\,kN}$