A structural steel beam 8.00 m long is placed between two rigid supports when the temperature is 15oC at night.  1. Compute the stress developed in the beam when the temperature rises to 41oC during the day?         (E = 207 GPa;  αT = 11.5x10-6 (oC)-1) 2. Calculate the length change of this beam if the beam was not restrained between supports.

A simple pin-connected truss is loaded and supported as shown. All members of the truss are aluminum pipes that have an outside diameter of 80mm and a wall thickness of 6mm. Determine the normal stress in each truss member. 1.0 m 1.5 m B 3.3 m 15 KN 12 kN 90 kip

Railway rail problem.

Steel railroad rails 10 m long are laid with end-to-end clearance of 3 mm at a temperature of 15°C. (a) At what temperature will the rails just come in contact? (b) What stress would be induced in the rails at that temperature if there were no initial clearance? Use a = 11.7 x 106 /°C and E = 200 GPa.

(a) A steel structural member of length = 10 ft. is supported between two fixed supports so that it cannot expand.  At 68°F, there is no stress in the member.  (E = 30 x 106 psi and α = 6.5 x 10-6/°F)    Calculate the stress (psi) in the member at 95°F.   Stress (psi) =      (b) If the same structural member is not supported between two fixed supports, calculate the total elongation of the member (in.) for the same temperature change.        elongation (in.) =