Q.2) Calculate the moment of inertia (Ix, and Iy,) about the given axis for the composite area shown in figure.

3-12 A 10-mm-thick, low-alloy-steel plate 180 mm wide and 2000 mm long is subjected to a set of uniformly distributed frictional forces along its two edges, as shown in the figure. If the total decrease in the transverse 180-mm dimension at section a--a due to the applied forces is 16 x 10 mm, what is the total elongation of the bar in the longitudinal direction? Let E= 200 GPa and v= 0.25. Assume that the steel behaves as a linearly elastic material.

= 29,000 For the structure and loading shown below, find the lateral deflection at the top. Use E ksi and I = 250 in4 for all members. Note that in frames, we neglect axial deformation, so you can calculate the deflection at either of the upper corners; the answer will be the same. t. 201 8K 10! 1. What is the deflection at the top in inches (two decimal places) ot

Two carbon plates are bonded to the upper and lower surfaces of a wooden beam. The beam is simply supported and has a uniformly distributed load, applied to the upper surface. You are tasked with calculating the maximum deflection of the beam (at point C), δ.   The length of the beam L, is 900 mm; The width of the beam cross-section, b, is 20.5 mm; The distributed load  is 65 N/mm; The elastic modulus of wood Ew, is 23 Gpa. The elastic modulus of carbon plate Ec, is 102 Gpa.

B2

Mechanics of Deformable Bodies Problem: The figure shows the upper half of a built up girder( the cross section is symmetric about the neutral axis). All rivets used in fabrication have a diameter of 22 mm. The moment of inertia of the entire cross sectional area of the girder about the neutral axis is l=4770x10⁶mm⁴. The working stresses are 100 MPa for rivets in shear and 280 MPa for bearing of the web plate. If the maximum shear force carried by the girder is 450 kN, determine the largest allowable spacing of rivets that join the angles to the web plate.

For the beam shown in Figure 3, a) Determine the maximum compressive bending stress in the beam. State exactly what location on the beam and where on the cross-section this maximum compressive bending stress occurs. b) Use the double integration method to calculate the deflection at point A, located at the end of the cantilever Given: E = 200 GPa A 5 kN/m 2 m BA 3 m 44 2 kN.m 75 mm 150 mm

An aluminum plate is subjected to uniform stress along its boundaries, as shown in the figure. Determine the change of length of diagonal BD. 120mm 120 MPa 160mm , 100мра C 240 MPa E=80GPa ✓=0.3 G=30GPa Answer = -0.5888mm

PLease solve the question step by step.....

An aluminum bar of cross-section 450 ??² is acted upon by the forces as shown in the figure. Determine the total elongation of the bar. Use ? = 70 ???.