A cantilever beam of rectangular cross section (width b = 25 mm. height h= 100 mm) is loaded by a force P that acts at the midheight of the beam and is inclined at an angle a to the vertical (see figure). Two strain gages are placed at point C. which also is at the midheight of the beam. Gage A measures the strain in the horizontal direction and gage B measures the strain at an angle B = 60 to the horizontal. The measured strains are e 125 x 10 and e, -375 x 10-, Determine the force P and the angle a, assuming the material is steel with E- 200 GPa and = 1/3.

A 5.1 m long simply supported wood beam carries a uniformly distributed load of 11.3 kN/m, as shown in Figure A. The cross-sectional dimensions of the beam as shown in Figure B are b = 205 mm, d = 460 mm, yH = 77 mm, and yx = 162 mm. Section a-a is located at x = 1.3 m from B. (a) At section a-a, determine the magnitude of the shear stress in the beam at point H. (b) At section a-a, determine the magnitude of the shear stress in the beam at point K. (c) If the allowable shear stress for the wood is 850 kPa, what is the largest distributed load w that can be supported by the beam? х В L Figure A

The two bars shown in the figure are used to support a load P. When unloaded, joint B has coordinates (0, 0). After load P is applied, joint B moves to the coordinate position (0.20 in., -0.55 in.). Assume a = 9 ft, b = 6 ft, and h = 7 ft. Determine the normal strain in each bar. B P b h

Determine the normal strain AB and BC