1. (50 pts) A cantilever beam AB (Figure a) supports a uniform load of intensity q=10 KN/m over part of the span a=3 m a

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1 50 Pts A Cantilever Beam Ab Figure A Supports A Uniform Load Of Intensity Q 10 Kn M Over Part Of The Span A 3 M A 1 (57.81 KiB) Viewed 31 times

1. (50 pts) A cantilever beam AB (Figure a) supports a uniform load of intensity q=10 KN/m over part of the span a=3 m and a concentrated load P=40 KN acting at the free end with length L-5 m. The cross section is shown in Figure b (All dimension in mm) and E=200 GPa a. Determine the reaction force and moment at A. (5 points). b. Draw the shear and moment diagram (10 points). c. Determine the area moment of inertia about the neutral axis (5 points). d. Determine the max tensile and compressive bending stress. Identify the location of max stress along the length of the beam (10 points). e. Determine the max shear stress. Identify the location of max stress along the length of the beam (10 points). f. Determine the displacement v at point B using method of Integration. (10 points) (Hint: Use superposition) L L B 450 mm 16 mm- 1800 mm 450 mm L : 32 mm :32 mm N