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# For the beam shown the maximum bending moment is kn m and maximum shear force is kn determine a the neutral axis b

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a) The neutral axis. b) Area moment of inertia Izz. c) The maximum tensile and compressive bending stress. d) Shear stress where the flange and web of T beam meet. e) Maximum shear stress.
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izontal. Its upper end is connected to a wall by a rope, and its lower end rests on a rough, horizontal sur- face. The coefficient of static friction between the beam and surface is ms. Assume the angle u is such that the static friction force is at its maximum value. (a) Draw a force diagram for the beam. (b) Using the condition of rotational equilibrium, find an expression for the tension T in the rope in terms of m, g, and u. (c) Using the condition of trans- lational equilibrium, find a second expression for T in terms of ms, m, and g. (d) Using the results from parts (a) through (c), obtain an expression for ms L u Figure P12.16 Q/C S vertical component of this force. Now solve the same problem from the force diagram from part (a) by com- puting torques around the junction between the cable and the beam at the right-hand end of the beam. Find (e) the vertical component of the force exerted by the pole on the beam, (f) the tension in the cable, and (g) the horizontal component of the force exerted by the pole on the beam. (h) Compare the solution to parts (b) through (d) with the solution to parts (e) through (g). Is either solution more accurate? 19. Sir Lost-a-Lot dons his armor and sets out from the castle on his trusty steed (Fig. P12.19). Usually, the drawbridge is lowered to a horizontal position so that the end of the bridge rests on the stone ledge. Unfor- tunately, Lost-a-Lot’s squire didn’t lower the draw- involv- ing only the angle u. (e) What happens if the ladder is lifted upward and its base is placed back on the ground slightly to the left of its position in Figure P12.16? Explain.
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1.AU MAT 120 Systems of Linear Equations and Inequalities Discussion

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