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
Q. In orthogonal turning of a cylindrical tube of wall thickness 5 mm, the axial and the tangential cutting forces were measured as 1259 N and 1601 N, respectively. The measured chip thickness after machining was found to be 0.3 mm. The rake angle was 10° and the axial feed was 100 mm/min. The rotational
Q. A plane-strain compression (forging) of a block is shown in the figure. The strain in the z-direction is zero. The yield strength (Sy) in uniaxial tension/compression of the material of the block is 300 MPa and it follows the Tresca (maximum shear stress) criterion. Assume that the entire block has started yielding. At a
Q. A gas is heated in a duct as it flows over a resistance heater. Consider a 101 kW electric heating system. The gas enters the heating section of the duct at 100 kPa and 27 ºC with a volume flow rate of 15 m3/s. If heat is lost from the gas in the duct
Q. The wall of a constant diameter pipe of length 1 m is heated uniformly with flux 𝑞” by wrapping a heater coil around it. The flow at the inlet to the pipe is hydrodynamically fully developed. The fluid is incompressible and the flow is assumed to be laminar and steady all through the pipe.
Q. The rotor of a turbojet engine of an aircraft has a mass 180 kg and polar moment of inertia 10 kg·m2 about the rotor axis. The rotor rotates at a constant speed of 1100 rad/s in the clockwise direction when viewed from the front of the aircraft. The aircraft while flying at a speed
