Page Name: MECHANICS OF MATERIALS: ENGR 2070- SUMMER 2018 EXAM 1-EXTRA PROBLEMS

Question

Page Name: MECHANICS OF MATERIALS: ENGR 2070- SUMMER 2018 EXAM 1-EXTRA PROBLEMS IF NO UNITS GIVEN FOR ANSWER: 4; IF WRONG UNITS FOR ANSWER: 3; IF WRONG MULTIPLE OF UNITS FOR ANSWER: -2 1. (5 pts) Rigid bar ABCD is supported by bars BE and CF and a pin at A. There is no strain in the vertical bars before P is applied. Ater P is applied, the normal strain in bar BE is-1100 ustrains (e., 1100 x 10° mm/mm). Determine: 425 mm Rigid bar a) the normal strain in bar CF b) the normal strain in bar CF it there a 1-mm gap in the connection at pin C before the load is applied. Is this strain tensle or compressive? c) the normal strain in bar CF ithere a 1-mm gap in the connection at pin B before the load is applied. is this strain positive or negative? Page 1 of 4

Explanation / Answer

1a)strain in BE=1100*10-6

length of BE=850 mm

vertical displacement of B=1100*10-6*850=0.9365 mm

vertical displacement of C= (320+200)*0.9365/200=2.4349 mm

normal strain in CF=2.4349/1425=0.0017

b)initial gap = 1 mm

Therefore, elongation of CF=2.4349-1=1.4349 mm

strain in CF=1.4349/1425=0.0010

It is tensile in nature

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