QUESTION $4()/()$ VRAAG $4$

Consider the structure in Figure $4.$ The beam

is $6$ m long, with a pin support at A and roller

at B$.$ The cross section of the beam is given,

with the thickness of each web being $0\mathrm{.}05$ m $.$

The reaction forces are:

A$\_($y$)=9$kN$($uarr$)$;A$\_($x$)=0$;B$\_($y$)=27$kN$($uarr$)$

$4\mathrm{.}1.$ Determine the maximum shear

stress in the beam where the

internal shear force is a

maximum. $[25]$

$4\mathrm{.}2.$ Determine the maximum moment

that the beam can withstand if the

maximum allowable tension and

compression bending stresses

are $\backslash$sigma $\_($T$)=1\mathrm{.}9$MPa and $\backslash$sigma $\_($C$)=$

$2\mathrm{.}2$ MPa. $[10]$

Beskou die struktuur in Figuur $4.$ Die balk is

$6$ m lank, met n skarnier by A en roller by B$.$

Die dwarssnit van die balk word gegee, met

die dikte van elke web wat $0\mathrm{.}05$ m is$.$ Die

reaksiekragte is:

A$\_($y$)=9$kN$($uarr$)$;A$\_($x$)=0$;B$\_($y$)=27$kN$($uarr$)$

$4\mathrm{.}1.$ Bepaal die maksimum skuifspanning

in die balk waar die interne skuifkrag

$\text{'}$n maksimum is$.[25]$

$4\mathrm{.}2.$ Bepaal die maksimum moment wat

die balk kan weerstaan as die

maksimum toelaatbare trek$-$ en

drukbuigspannings $\backslash$sigma $\_($T$)=1\mathrm{.}9$MPa en

$\backslash$sigma $\_($D$)=2\mathrm{.}2$MPa is$.[10]$

$6$k$($N$)/($m$)$

Figure $(4)/()$ Figuur $4$