The C200×20 channel section of Figure P4.5 has second moments of area Ix = 15×10^6 mm4, Iy=0.637×10^6 mm4. It is loaded by the bending moments Mx=2200 Nm and My =−350 Nm. Find the magnitude and location of the maximum tensile stress in the beam.

A vertical tapered rod of length L has its diameter varying linearly from 'd' at lower end to D at the upper end which has fixed support. Young's modulus of the material is E. Show that the elongation 4FL of the rod at its lower end when subjected to a longitudinal force Fis given by 8 TdDE

Consider a point in a structural member that is subjected to plane stress. Normal and shear stresses acting on horizontal and vertical planes at the point are shown. Let T = 39 MPa and o = 19 MPa. Determine the center ocenter of the corresponding in- plane Mohr's circle. 50 MPa -21.56 MPa O -17.85 MPa O -10.87 MPa -14.07 MPa -15.50 MPa

We are given the statically indeterminate structure shown in Figure 2. Apart from the loadings, member AB is also subjected to temperature effects. The cross-sectional depth of member AB is h = 12 in, and the thermal coefficient is aT= 5:10-6 /° F. We are also given that the effect of axial forces on the deformations can be NEGLECTED. 1 kip/ft 5 kip BV VVvvvwwW EI = 8:105 kip-ft2 EI = 106 kip-ft2 20 ft Figure 2 a) Establish a primary structure b) Establish the compatibility equation from which you will obtain the redundant force c) Determine the support reactions of the structure d) Determine the internal loading diagrams of the structure e) Determine the support reactions IF THE STRUCTURE IS ONLY SUBJECTED TO THE TEMPERATURE EFFECTS (and not the loads) AT: = 5 °F ÅT;= -5 °Fi