A welded square plate of $1 \mathrm{~m} \times 1 \mathrm{~m}$ is subjected to biaxial stress of magnitude 6.5 MPa and 25 MPa , as shown in the figure below. The ratio of the normal stress acting in the perpendicular direction of the weld to the shear stress of the weld is $\_\_\_\_$ (rounded off to 2 decimal places).

The state of stress at a point is shown in the figure given below. Under plane stress assumption, the normal strain along the thickness direction $\left(\varepsilon_{z z}\right)$ is _________ (rounded off to 2 decimal places).

Use the Young's Modulus $E=200 \mathrm{GPa}$ and Poisson's ratio $v=0.27$.

A linear elastic structure under plane stress conditions is subjected to two sets of loading, I and II. The resulting states of stress at a point corresponding to these two loadings are as shown in the figure below. If these two sets of loading are applied simultaneously, then the net normal component of stress σ_xx is ________

A rectangular region in a solid is in a state of plane strain. The $$(x,y)$$ coordinates of the corners of the undeformed rectangle are given by $$P(0,0), Q(4,0), R(4,3), S(0,3).$$ The rectangle is subjected to uniform strains, $${\varepsilon _{xx}} = 0.001,\,\,{\varepsilon _{yy}} = 0.002,\,\,{\gamma _{xy}} = 0.003.$$ The deformed length of the elongated diagonal, upto three decimal places, is ______________ units.