14 The brass bar shown is loaded axially in compression so that the maximum stress induced is 125 MPa. Calculate the total change in length (E = 100 GPa). 20 mm 70 mm + [=] 90 mm 30 mm
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- Strength of materials 12.3 The single rope of a cantilever crane supports a load of 200 kN and passes over two pulleys and then vertically down the axis of the crane to the hoisting apparatus. The section AB of the crane is a hollow rectangle. The outside dimensions are 37.5 cm and 75 cm and the material is 2.5 cm thick all round, and the longer dimension is in the direction AB. Locate the position of the neutral axis. (Cambridge)A board of mass mand length l is attached to a wall and a rope that makes an angle of theta, as shown. A block of mass M hangs from the right end of the board. Suppose m = 2.0kg, L = .60m, M = 0.50kg, and angle(theta) = degrees. a. Using numbers, what is the magnitude of the tension force in the rope connecting the board and wall? b. Using numbers, what is the magnitude of the force applied by the hinge? c. Using numbers, in what direction does the force applied by the hinge point?A copper rolled wire 10 m long and 1.5 mm diameter when supporting a weight of 350 N elongates 18.6 mm. Compute the value of the Young's modulus of this wire
- question/ calculate young's modulus (by) using the following formula: for your information: a. the width of cantilever (b) is 2 cm, the thickness of cantilever (d) is 0.25cm and mass (m) is 100 gm.A 540-N uniform rectangular sign 4.00 m wide and 3.00 m high is suspended from a horizontal, 6.00-m-long, uniform, 140-N rod as indicated in the figure below. The left end of the rod is supported by a hinge and the right end is supported by a thin cable making a 30.0° angle with the vertical. (Assume the cable is connected to the very end of the 6.00-m-long rod, and that there are 2.00 m separating the wall from the sign.) (a) Find the (magnitude of the) tension T in the cable.N(b) Find the horizontal and vertical components of the force exerted on the left end of the rod by the hinge. (Take up and to the right to be the positive directions. Indicate the direction with the sign of your answer.) horizontal component _____N vertical component _____NA disk of SBR elastomer 3.0 cm in diameter 0.5 cmthick is used as a cushioning surface between two steel rods ofthe same diameter, as shown below (not to scale). a. If the rods are brought together with an axial force of 100 N such that the SBR is compressed elastically between them, what is the thickness of the SBR under load? b. Under the same conditions as part (a), what is the greatest possible diameter of the SBR under load? c. If the SBR is bonded to the rods, how far can one rod be rotated with respect to the other before the SBR/rod interface fractures? Assume that the rods are essentially rigid and the distance between them remains constant. Please answer in degrees of rotation.
- In constructing a large mobile, Jude hangs an aluminum sphere of mass 6.0kg from a vertical steel wire 0.50m long and 2.5x10^−3 cm^2 in cross-sectional area. On the bottom of the sphere, he attaches a similar steel wire, from which he hangs a brass cube of mass 10.0kg. For each wire, compute: (a) The tensile strain and(b) The elongationRam a farmer, managed to grow shaped-watermelons inside glass cases ofdifferent shapes. The shapes he used were: a perfect cube, hemi-spherical, cuboid,cylindrical along with the normal spherical shaped watermelons. Thickness of the skinwas same for all the shapes. Each of the glass cases was so designed that the totalvolume and the weight of the all the water-melons would be equal irrespective of theshape. A customer wants to buy water-melon for making juice, for which the skin of the water-melon has to be peeled off, and therefore is a waste. Which shape should the customer buy?You are a comparative evolutionary biologist that studies biomechanics. In particular, you are interested in how bone cross sectional shapes have evolved. You have discovered a rare (hypothetical) animal that has bone shapes similar to ours, but has solid, rectangular cross sectional areas. You conduct mechanical testing according to the parameters below and want to determine the: (A) moment of inertia; (B) reaction forces and moments at the fixed end O; (C) the stresses at points A, B, and C designated below, including the contributions of the different types of stresses at each point