is supported by a metal cable and a double pin at A$.$ Assume the Young's modulus and Poisson ratio of cable $BD$ are $E_{BD}=200$GPa and $v_{BD}=0\mathrm{.}3.$ Also assume the allowable tensile stress in the cable is $400$ MPa $,$ Assume the following: $P=10kN$ and the cable's crosssectional area is $A_{BD}={10}^{2}m{m}^2.$ Answer the following questions.

$1-1)$ What is the safety factor of cable BD against failure under tension?

$1-2)$ What is the cross section of the cable after the load is applied?

$1-3)$ Does it make sense to calculate safety factor for pipe $AC?$ Why?

$1-4)$ What is the modulus of rigidity of cable $BD?$

$1-5)$ What is the total reaction force at $A?$