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54_Mechanics Homework Mechanics of Materials Solution

54_Mechanics Homework Mechanics of Materials Solution -...

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Unformatted text preview: PROBLEM 1.C2 1 .62 A 20-kN force is applied as shown to the horizontal member ABC. _ Member ABC has a 10 X 50-min uniform rectangular cross section and is sup- ported by four vertical links, each of 8 X 36-mm uniform rectangular cross section. Each of the four pins at A, B, C, and D has the same diameter d and is in double shear. (a) Write a computer program to calculate for values of d from 10 to 30 mm, using 1-mm increments, (1) the maximum value of the av- erage normal stress in the links connecting pins B and D, (2) the average nor— - mal stress in the links connecting pins C and E, (3) the average shearing stress in pin B, (4) the average shearing stress in pin C, (5) the average bearing stress at B in member ABC, (6) the average bearing stress at C in member ABC. (b) Check your program by comparing the values obtained for d = 16 mm with the answers given for Probs. 1.8, 1.23, and 1.24. (c) Use this program to find the permissible values of the diameter d of the pins, knowing that the allow- able values of the normal, shearing, and bearing stresses for the steel used are, respectively, 150 MPa, 90 MPa, and 230 MPa. (:1) Solve part c, assuming that the thickness of member ABC has been reduced from 10 to 8 mm. SOLUTION F'B'Efptggfl M OF“ ABC . sE/‘Tlfof 2 Fap(~BQ‘" PM 020 F59 :— P (a ai/z (B c)” (arm/ow) +3 5MB: 012/25 (BC)'P(PLB,):O 1%: :. P (Ara/z {B C) (Co‘M P.) (I) LINK BD IFBIJ Th'qkne$:7:£ (2) M F0“: Thickness = 2:1 (5) BEAR/Ne STRES S ATE Thickness cf H} (’ll}b{‘f' AC: C AC SISPeaFBI BD/(dZ/ic) (am .513 Bear—C: Fae/(45,2 ) (CONTINUED) ‘ 'r'f—H‘K . . U. \ u ./— ....... T "‘r " "—3 HQ 7, i“ l l ""1 r ‘— 1 ..\ 6;.“ .fi . r 4F F...‘ '._._m ...
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