# Static Equilibrium and Support Reactions

These tutorial questions consider statically determinate simply supported beams and frames subjected to a variety of loading conditions. They get progressively more complex and are designed to be worked through sequentially. When selected, the span and loading conditions for each tutorial question are randomly generated giving an infinite number of possible questions to be attempted. Additionally there are randomly generated worked examples, printed tutorial sheets, study notes and video tutorials.

Each tutorial is selected by selecting the appropriate question number below. Notes:

• The analysis associated with these tutorial questions will round all your input values as follows:
• Forces, e.g. vertical and horizontal reactions (kN) - 1 decimal place.
• Dimensions (m) - 3 decimal places.
• Numeric answers are required in all the fields. If you calculate a force or a support reaction as being zero, enter zero (0) in the appropriate field. If no answer is given it will be evaluated as zero.
• If a load or action is shown with a negative value then it acts in the opposite direction of the arrow.

• UDL - Universally Distributed Load; magnitude of load remains uniform throughout the length of the beam.
• PL - Point Load; concentrated load acting over a small distance, can be considered to be acting on a point.
• PUDL - Partial Universally Distributed Load; magnitude of load remains uniform throughout a portion length of the beam.
• TDL - Triangular Distributed Load; magnitude of load remains uniform throughout a portion length of the beam.
• TRDL - TRapezoidal Distributed Load; magnitude of load remains uniform throughout a portion length of the beam. Calculate the horizontal and vertical support reactions @ A & B.

### Solution

@ A, HA=
kN
@ B, HB =
kN

#### Vertical Reactions

@ A, RA =
kN
@ B, RB =
kN Calculate the horizontal and vertical support reactions @ A & B.

### Solution

@ A, HA=
kN
@ B, HB =
kN

#### Vertical Reactions

@ A, RA =
kN
@ B, RB =
kN Calculate the horizontal and vertical support reactions @ A & B.

### Solution

@ A, HA =
kN
@ B, HB =
kN

#### Vertical Reactions

@ A, RA =
kN
@ B, Rb =
kN Calculate the horizontal and vertical support reactions @ A & B.

### Solution

@ A, HA =
kN
@ B, HB =
kN

#### Vertical Reactions

@ A, RA =
kN
@ B, RB =
kN Calculate the horizontal and vertical support reactions @ A & B.

### Beam Data

• N.B. If a load or action is shown with a negative value then it acts in the opposite direction to the arrow shown.

### Solution

@ A, HA =
kN
@ B, HB =
kN

#### Vertical Reactions

@ A, RA =
kN
@ B, RB =
kN Calculate the horizontal and vertical support reactions @ A & B.

### Beam Data

• N.B. If a load or action is shown with a negative value then it acts in the opposite direction to the arrow shown.

### Solution

@ A, HA =
kN
@ B, HB =
kN

#### Vertical Reactions

@ A, RA =
kN
@ B, Rb =
kN Calculate the horizontal support reactions at A and the PIN, and the vertical support reactions at A, B , C & the PIN.

### Beam Data

• N.B. If a load or action is shown with a negative value then it acts in the opposite direction to the arrow shown.

### Solution

@ A, HA =
kN
@ C, HPIN =
kN

#### Vertical Reactions

@ A, RA =
kN
@ B, RB =
kN
@ C, RC =
kN
@ Pin, RPIN =
kN Calculate the horizontal and vertical support reactions @ A & B.

### Beam Data

• N.B. If a load or action is shown with a negative value then it acts in the opposite direction to the arrow shown.

### Solution

@ A, HA =
kN
@ B, HB =
kN

#### Vertical Reactions

@ A, RA =
kN
@ B, RB =
kN Calculate the horizontal and vertical support reactions @ B & C.

### Beam Data

• NOTE: The position of points load P4 & P5, they can act on any of the nodes 1 - 17.
• N.B. If a load or action is shown with a negative value then it acts in the opposite direction to the arrow shown.

### Solution

@ B, HB =
kN
@ C, HC =
kN

#### Vertical Reactions

@ B, RB =
kN
@ C, RC =
kN Calculate the horizontal support reactions at A and the Pin, and the vertical support reactions @ A, B, C & the PIN.

@ A, HA =
kN
@ Pin, HP =
kN

@ A, RA =
kN
@ B, RB =
kN
@ C, RC =
kN
@ Pin, RP =
kN