CIVE 210 Homework 4, Spring 2011

American University of Beirut · Statics · 2 pages

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CIVE 210 Homework 4, Spring 2011, page 1

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#EIvE 210 Hortkwors 4/2, past: | By-153.- Replace the loading by an equivalent resultant eHuple moment acting at point B. -129. \ Replace the force and couple-moment system by an e alent resultant force and couple moment at eo P. Express the results in Cartesian vector form. . “fit <# F =80ib A 120° 60° (430. Replace the force F having a magnitude of F = ° ; | 50 Ib and acting at point A by an equivalent resultant €-and couple moment at point C. 4 1Of y 4-134. building slab is subjected to four parallel column/loadings. Determine the equivalent resultant T nd specify its location (x, y) on the slab. Take Fi = | 20 KN, Fy = 50 KN. *5-56. The rigid metal strip of negligible weight is used as part Of -an electromagnetic switch. Determine the \ighindastitfinc: k of the springs at A and B so that the contact at C closes when the vertical force developed there-is 0.5 N. Originally the strip is horizontal as shown. 30mm 50 mm —~—~ 5-38. utriggers A and B are used to stabilize the crane from oyerturning when lifting large loads. If the load to dis 3 Mg, determine the maximum boom angle @ so that the crane does not overturm. The crane has a mass of 5 Mg and center of mass at Ge. whereas the boom has a mass of 0.6 Mg and center of mass at Gz. 2 -_ @ ~~ 4.5m SS ay Ge “Sm i Ge. ony, . \ Eu SS A x TSO a T [72.3 m4 *5-52. } Determine the angle @-at which the link ABC is eld j#equilibrium if member BD moves 2 in. to the right. ‘The springs are originally unstretched when @ = 0°. Each spring has the stiffness shown. The springs remain horizontal since they are attached to roller guides. kcp= 100 Ibift