Q. Three slabs are joined together as shown in the figure. There is no thermal contact resistance at the interfaces. The center slab experiences a non-uniform internal heat generation with an average value equal to 10000 Wm−3, while the left and right slabs have no internal heat generation. All slabs have thickness equal to 1 […]

Q. A cube of side 100 mm is placed at the bottom of an empty container on one of its faces. The density of the material of the cube is 800 kg/m3. Liquid of density 1000 kg/m3 is now poured into the container. The minimum height to which the liquid needs to be poured into

Q. Two immiscible, incompressible, viscous fluids having same densities but different viscosities are contained between two infinite horizontal parallel plates, 2 m apart as shown below. The bottom plate is fixed and the upper plate moves to the right with a constant velocity of 3 m/s. With the assumptions of Newtonian fluid, steady, and fully

Q. A single block brake with a short shoe and torque capacity of 250 N·m is shown. The cylindrical brake drum rotates anticlockwise at 100 rpm and the coefficient of friction is 0.25. The value of a, in mm (round off to one decimal place), such that the maximum actuating force 𝑃 is 2000 N,

Q. A uniform thin disk of mass 1 kg and radius 0.1 m is kept on a surface as shown in the figure. A spring of stiffness 𝑘1 = 400 N/m is connected to the disk center A and another spring of stiffness 𝑘2 = 100 N/m is connected at point B just above point

Q. In a UTM experiment, a sample of length 100 mm, was loaded in tension until failure. The failure load was 40 kN. The displacement, measured using the cross-head motion, at failure, was 15 mm. The compliance of the UTM is constant and is given by 5 × 10−8 m/N. The strain at failure in

Q. Consider a prismatic straight beam of length 𝐿 = 𝜋 m, pinned at the two ends as shown in the figure. The beam has a square cross-section of side p = 6 mm. The Young’s modulus E = 200 GPa, and the coefficient of thermal expansion 𝛼 = 3 × 10−6 K−1. The minimum

Q. Consider an elastic straight beam of length 𝐿 = 10 𝜋 m, with square cross-section of side a = 5 mm, and Young’s modulus E = 200 GPa. This straight beam was bent in such a way that the two ends meet, to form a circle of mean radius R. Assuming that Euler-Bernoulli beam

Q. A truss is composed of members AB, BC, CD, AD and BD, as shown in the figure. A vertical load of 10 kN is applied at point D. The magnitude of force (in kN) in the member BC is                                   Ans: 4.98 – 5.02 Sol: So, magnitude of force (in kN) in member