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Quiz3_Solutions - ENGRD 202 Solid...

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Unformatted text preview: ENGRD 202 Solid Mechanics -———fi——— Quiz No 3. (White) March 26,2008 45 minutes test Academic integrity is expected of all students at all times whether in the presence or absence of members of the faculty. You should not give, use or receive unauthorized aid in this test. Appropriate units should be noted on answers, and a1 answers should be boxed in. Useful formulas: Problem 1. w [71)] Consider the structure shown consisting of a boom AB and a rod BC. Both members are connected at B by a pin from which a force Q: SOkN is suspended by means of a U- shaped bracket. Boom AB is supported at A by a pin fitted into a double bracket while rod BC is connected at C to a single bracket. All pins are 25mm diameter Determine the normal stress in boom AB and rod BC , .. Determine the shear stress in the pin at A, pin at C and pin at B. Determine the bearing stress at A in member AB. AB C- 13 Problem 2 W. [61)] owing that both portions of the rodABC’ are made of an aluminum maten'al for which E: 7 3 determine: {0 ~ {03 k S r (a) the magnitude of force Q so tha the deflection at A is zero (b) the corresponding deflection at B Problem 3 w. [6p] For the steel truss (E=29x 103 Ksi) and loading shown determine the horizontal displacement of support C. Note that support C is a roller and support A is a pin. A11 bars in the truss haVe a cross- section of 2.0 inz. Problem 4 w. [613] Knowing that at installation time a gap of 0.5 mm exists between the ends of the rods shown determine the normal stress in the bars if the temperature has increased by 25°C over the temperature at the time of installation. Material: I aluminum E: 70 GPa a: 23 x 10'6/0c Rod diameter = 5mm ...
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