ENGI 1313 Mechanics I Lecture 42 Course Material

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ENGI 1313 Mechanics I Lecture 42: Course Material Review Shawn Kenny, Ph. D. ,

ENGI 1313 Mechanics I Lecture 42: Course Material Review Shawn Kenny, Ph. D. , P. Eng. Assistant Professor Faculty of Engineering and Applied Science Memorial University of Newfoundland spkenny@engr. mun. ca

Example 42 -01 n 2 If the resultant couple moment of the three couples

Example 42 -01 n 2 If the resultant couple moment of the three couples acting on the triangular block is to be zero, determine the magnitudes of forces F and P. © 2007 S. Kenny, Ph. D. , P. Eng. ENGI 1313 Statics I – Lecture 42

Example 42 -01 (cont. ) n Technical Concept Ø 3 Couple Moment © 2007

Example 42 -01 (cont. ) n Technical Concept Ø 3 Couple Moment © 2007 S. Kenny, Ph. D. , P. Eng. ENGI 1313 Statics I – Lecture 42

Example 42 -01 (cont. ) n Analysis d d d 4 © 2007 S.

Example 42 -01 (cont. ) n Analysis d d d 4 © 2007 S. Kenny, Ph. D. , P. Eng. ENGI 1313 Statics I – Lecture 42

Example 42 -02 n 5 The telephone pole of negligible thickness is subjected to

Example 42 -02 n 5 The telephone pole of negligible thickness is subjected to the force of 80 lb directed as shown. It is supported by the cable BCD and can be assumed pinned at its base A. In order to provide clearance for a sidewalk right of way, where D is located, the strut CE is attached at C, as shown by the dashed lines (cable segment CD is removed). If the tension in CD′ is to be twice the tension in BCD, determine the height h for placement of the strut CE. © 2007 S. Kenny, Ph. D. , P. Eng. ENGI 1313 Statics I – Lecture 42

Example 42 -02 (cont. ) n Technical Approach 2 D Equilibrium Ø FBD Ø

Example 42 -02 (cont. ) n Technical Approach 2 D Equilibrium Ø FBD Ø Complete FBD? Ø TBD • Yes for initial condition Ø Find TBD Ax Ay 6 © 2007 S. Kenny, Ph. D. , P. Eng. ENGI 1313 Statics I – Lecture 42

Example 42 -02 (cont. ) n Find TBD Ax Ay 7 © 2007 S.

Example 42 -02 (cont. ) n Find TBD Ax Ay 7 © 2007 S. Kenny, Ph. D. , P. Eng. ENGI 1313 Statics I – Lecture 42

Example 42 -02 (cont. ) n Find TCD’ TBD n Find LCE TCD’ n

Example 42 -02 (cont. ) n Find TCD’ TBD n Find LCE TCD’ n Find h Ax Ay 8 © 2007 S. Kenny, Ph. D. , P. Eng. ENGI 1313 Statics I – Lecture 42

Example 42 -03 n 9 The pipe is hoisted using the tongs. If the

Example 42 -03 n 9 The pipe is hoisted using the tongs. If the coefficient of static friction at A and B is μs, determine the smallest dimension b so that any pipe of inner diameter d can be lifted. © 2007 S. Kenny, Ph. D. , P. Eng. ENGI 1313 Statics I – Lecture 42

Example 42 -03 (cont. ) n W Global FBD 0. 5 W n FBD

Example 42 -03 (cont. ) n W Global FBD 0. 5 W n FBD of Tong FB Cx NB Cy 10 © 2007 S. Kenny, Ph. D. , P. Eng. FB ENGI 1313 Statics I – Lecture 42 FB

Example 42 -03 (cont. ) n W For Lifting 0. 5 W FB Cx

Example 42 -03 (cont. ) n W For Lifting 0. 5 W FB Cx NB Cy 11 © 2007 S. Kenny, Ph. D. , P. Eng. FB ENGI 1313 Statics I – Lecture 42 FB

References Hibbeler (2007) n http: //wps. prenhall. com/esm_hibbeler_eng mech_1 n 12 © 2007 S.

References Hibbeler (2007) n http: //wps. prenhall. com/esm_hibbeler_eng mech_1 n 12 © 2007 S. Kenny, Ph. D. , P. Eng. ENGI 1313 Statics I – Lecture 42