Unit 14 Structural
November 14
Mechanics
Assignment 1
Stephen O’Brien
, Contents
Question 1: (P1).....................................................................................................................................2
Cantilever...........................................................................................................................................2
Propped Cantilever............................................................................................................................2
Encastre Beam (fixed both ends).......................................................................................................3
Simply Supported Beam.....................................................................................................................3
Continuous Beam...............................................................................................................................4
Question 3: (P2).....................................................................................................................................4
Firstly sum up all the vertical forces and reactions............................................................................5
Calculate shear force.........................................................................................................................5
Bending Moment Diagram and Shear Force Diagram........................................................................6
Question 4: (P3).....................................................................................................................................7
Question 5: (P3) (M1)........................................................................................................................8
Calculate the unknown reactions......................................................................................................8
Draw the shear force diagram for the beam......................................................................................9
Draw the bending moment diagram from the beam.........................................................................9
What is the maximum value of bending moment? Where on the beam is this located?..................9
Question 6: (P4) (D1).............................................................................................................................9
Step 1: Determine HA........................................................................................................................9
Step 2: Determine VA......................................................................................................................10
Step 3: Take Moments.....................................................................................................................10
November 14
Mechanics
Assignment 1
Stephen O’Brien
, Contents
Question 1: (P1).....................................................................................................................................2
Cantilever...........................................................................................................................................2
Propped Cantilever............................................................................................................................2
Encastre Beam (fixed both ends).......................................................................................................3
Simply Supported Beam.....................................................................................................................3
Continuous Beam...............................................................................................................................4
Question 3: (P2).....................................................................................................................................4
Firstly sum up all the vertical forces and reactions............................................................................5
Calculate shear force.........................................................................................................................5
Bending Moment Diagram and Shear Force Diagram........................................................................6
Question 4: (P3).....................................................................................................................................7
Question 5: (P3) (M1)........................................................................................................................8
Calculate the unknown reactions......................................................................................................8
Draw the shear force diagram for the beam......................................................................................9
Draw the bending moment diagram from the beam.........................................................................9
What is the maximum value of bending moment? Where on the beam is this located?..................9
Question 6: (P4) (D1).............................................................................................................................9
Step 1: Determine HA........................................................................................................................9
Step 2: Determine VA......................................................................................................................10
Step 3: Take Moments.....................................................................................................................10
