5.14 For the beam cross section shown, bending is about the z axis. All dimensions are in inches and, where appropriate, are between the centers of the 0.25-in walls. Determine (a) the second-area moments I,, I,, and Iyg. (b) the orientation of the principal axes of the second-area moments. (c) the values of the principal second-area moments Im and I,. (d) the location and magnitudes of the maximum tensile and compressive bending stresses if M, = 20 kip-in.

a) Determine the moment of interia of the beam cross section about the x centroidal axis.  b) Determine the Radius of Gyration about the x centroidal axis.

A) The four cross sections shown have different characteristics when subjected to a vertical shear force. Which of the four geometries shown has the largest value for the moment of the area, Q, about the neutral axis? B) Which of the four geometries shown has the smallest value for its moment of inertia about the x axis? C) Given that all four geometries are subjected to the same vertical shear force V, which of the four has the smallest value for the maximum shear stress?

4. PLEASE PROVIDE A COMPLETE AND COMPREHENSIVE SOLUTION AND FINAL ANSWER ASAP. PLEASE ENCLOSE THE ANSWER IN BOX. THANK YOU

Dont forget to draw the FREE BODY DIAGRAMS ALSO PLEASE! (:

5.16 The box beam is made by nailing four 2-in. by 8-in. planks together as shown. (a) Show that the moment of inertia of the cross-sectional area about the neutral axis is 981.3 in.. (b) Given that wo 300 lb/ft, find the largest allowable force P if the bending stress is limited to 1400 psi. 8 in.2 in. 8 in. 9 f 3 ft 2 in. FIG. P5.16

1) Use superposition to determine the moment (in kip-ft) at the center of the beam shown below. A 10 kip 1.0 kip/ft 14'-0" 2.5 kip/ft 28'-0" 3.5 kip/ft B Ippmadus ved hjelp av Modu Utklippsverktøyet flyt

8.9 Calculate the moments of inertia with respect to both centroidal axes for the areas shown.