STRUCTURAL ANALYSIS IV$.$ ASSIGNMENT $1.$ DUE DATE: $30/04/2024$

NB: WRITE NEATLY AND UNDERLINE ALL YOUR ANSWERS.

$1.$ A steel beam of an unequal flanges cross section is resting on an elastic

foundation whose modulus of foundation $($KS$)$ is $6\mathrm{.}5$ N$/$mm$2.$ The beam is $12$ m

long, and it is subjected to a concentrated load of $300$ kN and anti$-$clockwise

moment of $0\mathrm{.}5$ MNm at the centre. Neglecting the self$-$weight and assuming

freely supported ends, Determine the following:

a$)$ The maximum deflections

b$)$ Slope

c$)$ Shear force.

d$)$ Maximum Bending stress

Assume Young$$s modulus, E $=200$ GPa and the Poisson$$s ratio,

u $=0\mathrm{.}3.$

$2.$ Repeat problem $1,$ for the case in which the beam is subjected to a uniformly

distributed load of intensity $200$ N$/$mm over a length $3000$ mm $($a$=$b$=1500$ mm$)$

about the centre, instead of a concentrated moment.