Overview $-$ beams and trusses

In this first assignment, we will focus on two key elements used in the design and

construction of structures throughout New Zealand and the world. We will ask you to work

through a series of calculations to show your understanding of the support reactions, shear

forces and bending moments which can act on these types of elements.

Question $1.$ Beams

Question $1$ is based on the information in Figure $1.$ A simply supported beam with a roller

support at B and a pinned support at D carries two UDL loads of $4k\frac{N}{m}$ between point $A$ to

$B$ and $4k\frac{N}{m}$ between point $C$ to $D,$ and a concentrated load of $5$ kN at point A and $10$ kN at

point C as indicated in figure below.

Question $1$a

Calculate the support reactions.

Question $1$b

Calculate shear forces and draw the shear force diagram.

In your answer, find the maximum shear force acting on the beam.

Question $1$c

Calculate the bending moments and draw the bending moment diagram.

In your answer, find the maximum bending moment acting on the beam. Determine the

location of point$($s$)$ of inflection $($contraflexure$)$ and calculate the BM at this point.