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- Question : P1 - A tie bar on a vertical pressing machine is 2 m long and 4 cm diameter. What is the stress and extension under a load of 100 kN? E=205,000 N/mm2. (79
- Question : P2 - A brass tube 5 cm outside diameter, 4 cm bore, and 30 cm long, is compressed between two end washers by a load of 25 kN, and the reduction in length measured is 0
- Question : P3 - A rod 1 m long is 10 cm2 in area for a portion of its length and 5 cm2 in area for the remainder. The strain energy of this stepped bar is 40% of that of a bar 10 cm2 in area 1m long under the same maximum stress. What is the length of the portion 10 cm2 in area?
- Question : P4 - A compound bar 90 cm long is made of a rod of steel 30 cm long 3 cm diameter securely fastened to a rod of copper 60 cm long. Under a pull of 50 kN the extensions in each portion are found to be equal. What is (a) the diameter of the copper rod, (b) the stresses in steel and copper, (c) the work done in extending the compound bar? E.=205,000 N/mm2; Ec=110,000 N/mm2.
- Question : P5 - A vertical rod 2 m long, fixed at the upper end, is 13 cm2 in area for 1 m and 20 cm2 in area for 1 m. A collar is attached to the free end. Through what height can a load of 100 kg fall on to the collar to cause a maximum stress of 50 N/mm2? E=200,000 N/mm2.
- Question : P6 - Two rods A and B of equal free length hang vertically 60 cm apart and support a rigid bar horizontally. The bar remains horizontal when carrying a load of 5000 kg at 20 cm from A. If the stress in B is 50 N /mm2 find the stress in A and the areas of A and B. EA=200,000 N/mm2 ; EB=90,000 N/mm2
- Question : P7 - The cross-section of a bar is given by (1 +x2/100) cm2 where x cm is th distance from one end. Find the extension under a load of 20 kN on a length of 10 cm. E=200,000 N/mm2
- Question : P8 - Three vertical wires in the same plane are suspended from a horizontal support. They are all of the same length and carry a load by means of a rigid cross bar at their lower ends. One of the wires is of copper and the other two are of steel. The load is increased and the temperature changed so that the stress in each wire is increased by 10 N/mm2
- Question : P9 - A square rigid plate is hung from a rigid IUpport by means of four steel bara of length L and crOll-section A, Iymmctrically arranged. A load W is then hung from the middle of the plate. A .tecl rod of initial length L - A and cro .. -section a i. now attached to the rigid IUpport and heated to a temperature t> above the normal 10 that it can be connected with the middle of the square plate. The four ban and rod are aU vertical and the plate horizontal. At normal temperature it is found that the load in each of the four bara baa been reduced by 20%. Show that the ValUCl of A and t are respectively (WL/SE)(l/a - t/A) and (WISEfl)(t/a + t/oM) where B is the coefficient of expanaion of Itecl. (U.L.)
- Question : P10 - A steel tie rod 25 mm diameter is placed concentrically in a brass tube 3 mm thick and 40 mm mean diameter. Nuts and washers are fitted on the tie rod so that the ends of the tube are enclosed by the washers. The nuts are initially tightened to give a compressive stress of 30 N/mm2 in the tube and a tensile load of 45 kN is then applied to the tie rod. Find the resultant stresses in tie rod and tube (1) when there is no change of temperature, (2) when the temperature increases by 60
- Question : P11 - An elastic packing piece is bolted between a rigid rectangular plate and a rigid foundation by two bolts pitched 25 cm apart and symmetrically placed on the longer centre line of the plate, which is 37
- Question : P12 - Two equal washers 15 cm apart are compressed between a rigid horizontal base and a rigid horizontal plate by two equal bolts. The bolts are 30 cm apart, arranged symmetrically on either side of the washers and collinear with them. Initially each bolt is tightened to a tension of 27 kN with an extension of 0
- Question : P13 - The figure shows a steel bolt 2

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