Assignment $16$: Traverse Shear $-2$

Problem:

The simply supported beam is built up from three boards by nailing them together as shown. Determine the maximum allowable spacing s of the nails to support that load, if each nail can resist a shear force of V kN $.$

The unknown values are given in a separate excel sheet available on Teams.

Important Instructions:

Each student has received unique values for each variable in this question through the excel sheet uploaded on Teams. Please employ these specific figures to solve the problem.

It is strongly recommended that you engage in discussions with your fellow students to explore various solution methods before arriving at the best one.

Ensure your assignment submission consists of a single PDF file.

Timely submission of your assignment is crucial.

Assessment Criteria:

Examine solution methods and choose the best one: $20\%$

Determine support reactions: $20\%$

Draw shear diagram and determine the maximum shear: $20\%$

Determine the moment of inertia, moment of area Q and shear flow, q: $30\%$

Determine spacing s: $10\%$

P$=23$kn

V$=1$kn

L$1=3\mathrm{.}1$ m

L$2=2\mathrm{.}6$m

bf$=100$mm

tf$=20$mm

hw$=280$mm

tw$=12$mm