5. In the case of bending the member until the yield strain is reached in some, but not all, of its compression elements before lateral buckling occurs, it is referred to as a. local buckling b. elastic buckling c. inelastic buckling d. bending failure e. shear failure

A rigid bar AB is hinged at A and supported by copper rod 2 m long and steel rod i m long as shown in fig. the bar carries a load of 20 KN at B. the cross section areas of steel and copper are 200 mm2 and 400 mm2 respectively find the stress in each rod ?if Es=210 GPa and Ec=83 GPa Copper rod 2m Steel rod- -1 m- 1m 2 m m- B 20 KN

4.3. At a point in a structural member, yielding occurred under a state of stress given by: 40 40 50 -60 MPa -60 Determine the uni-axial tensile yield strength of the material according to (a) maximum shearing stress theory, and (b) Octahedral shearing stress theory. 4.5. Determine the width t of the cantilever of height 2t and length 0.25 m subjected to a 450 N concentrated force at its free end. Apply the maximum energy of distortion theory. The tensile and compressive strengths of the material are both 280 MPa. 4.6. Determine the required diameter of a steel transmission shaft 10 m in length and of yield strength 350 MPa. In order to resist a torque of up to 500 N.m. The shaft is supported by frictionless bearings at its ends. Design the shaft according to the maximum shear stress theory, selecting a factor of safety of 1.5, (a) neglecting the shaft weight, and (b) including the effect of shaft weight. Use y = 77 kN/m as the weight per unit volume of steel. 190 MPa 30 MPa 40 MPa…

2. For each of the plane stress states listed below find the three principle stresses and the maximum shear stress. a) ox 20kpsi, oy--15kpsi, Txy=8kpsi cw b) ox= 16kpsi, oy-10kpsi, Txy=5kpsi ccw c) ox= 10kpsi, oy=24kpsi, Txy=6kpsi ccw