1) The document provides instructions to draw internal load diagrams (ILDs) for reactions (RA, RB), shear force (SF), and bending moment (BM) at various points (X, Z) along a beam subjected to a load between points P and Q. 2) Equations are given to calculate the values of RA, RB, SF, and BM as functions of the load position X between points P and Q. 3) The key ILDs to be drawn are summarized for SF and BM as the load moves between points on the beam.

2. Draw ILD for RA, RB, SF @ X ,SF @ Z, BM @ X and BM @ Z
Draw ILD for RA
Taking moment about B
1(12- x) = RA .10
RA =
𝟏𝟐−𝑿
𝟏𝟎
x
Point X RA
P 0 1.2
A 2 1
B 12 0
Q 14 -0.2
(When X = 0 to 14)

3. x
Taking moment about A
1(X-2) = R B .10
R B =
𝑿−𝟐
𝟏𝟎
Point X R B
P 0 -0.2
A 2 0
B 12 1
Q 14 1.2
Draw ILD for RB
(When X = 0 to 14)

4. Draw ILD for SF at X
x
ILD for SF at X
When load lies between P to X (X≤ 5)
SF at X = -R B
= -
𝒙−𝟐
𝟏𝟎
Point x SF at X
P 0 0.2
A 2 0
X 5 -0.3
(When X = 0 to 5)
When load lies between X to Q(X = 5 to 14)
SF at X = RA
=
𝟏𝟐−𝒙
𝟏𝟎
Point x SF at X
X 5 0.7
B 12 0
Q 14 -0.2
(When X = 5 to 14)

5. x
Draw ILD for BM at X
ILD for BM at X
When load lies between P to X (X≤ 5)
BM at X = R B . 7
= (
𝒙−𝟐
𝟏𝟎
) 7
Point x BM at X
P 0 -1.4
A 2 0
X 5 2.1
When load lies between X to Q (X = 5 to 14)
BM at X = RA .3
= (
𝟏𝟐−𝒙
𝟏𝟎
)3
Point x BM at X
X 5 2.1
B 12 0
Q 14 -0.6
(When X = 0 to 5)
(When X = 5 to 14)

6. x
ILD for SF at Z
When load lies between P to Z (X≤ 13)
SF at Z = 0
When load lies between Z to Q (X = 13 to 14)
SF at Z = 1
Draw ILD for SF at Z

7. x
ILD for BM at Z
When load lies between P to Z (X≤ 13)
BMat Z = 0
When load lies between Z to Q (X = 13 to 14)
BM at Z = -1(X-13)
Point x BM at Z
Z 13 0
Q 14 -1
Draw ILD for BM at Z