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Given the shaft described in Question 19, determine minimum principal stress.  Provide your answer in MPa, but do not include units in your submittal.

Given the beam shown in Question 1F, find the internal moment at node B.  Calculate your answer in kN m, but do not include units in the answer.  Include a sign in your answer.  If the moment is compression on top, the value is positive; if it is tension on top, the moment is negative .

Given the simple span beam FBD, which choice best describes the direction of the internal moment at A?

Given the beam in Question 1, which choice best describes the moment reaction at the right end?

A cylindrical thin-wall pressure vessel has an outside diameter of 1 m, a wall thickness of 14 mm, and an internal pressure of 4 MPa.  Determine hoop stress.  Provide your answer in MPa, but do not include units in your submittal.  

A 0.15 inch diameter nail is subject to a transverse shear of 900 lbs.  Determine the stress in the nail.  Provide your answer in ksi, but do not include units in your answer.

Determine the first area moment (Q) for the red-hatched area.

Water is pumped upwards through a pipe at the rate of 920 litres per minute.  The inside diameter of the pipe varies from 70 mm at its lower end to 120 mm at its upper end.  The pressure is 2.4 bar at the lower end of the pipe and 1.4 bar at the upper end.  The upper end is 9 m above the lower end of the pipe.  Find the entry velocity (in m/s).

A 175 g copper block at 900 ºC is dropped into an aluminium container calorimeter cup initially at 200ºC. The calorimeter cup has a mass of 400 g and contains 430 g of water, also at 200ºC. What is the final temperature of the system (in ºC)? (cAl = 0.215 cal/(g ºC), cwater = 1 cal/(g ºC), and ccu = 0.0920 cal/(g ºC).

A mass of 300 g of coffee at 95°C is poured into a 200 g glass mug at 20 °C. Neglecting any heat transferred to the surrounding air or table, determine the final temperature of the mug and coffee (in °C). (Ccoffee = 1.00 cal/g °C, Cmug = 0.200 cal/g °C)