HW2

a)The truss contains _____ members. b)The truss contains _____ two-force members. c)The truss contains _____ multi-force members. d)The magnitude of the x-component of the reaction force at A is _____ kN. e)The magnitude of the y-component of the reaction force at A is _____ kN. f)The direction of the y-component of the reaction force at A is _____ degrees. g)The magnitude of the reaction force at A is _____ kN. h)The direction of the reaction force at A is _____ degrees.

Q1. Which one statement most accurately describes the relative strength and toughness for materials A, B & C? Material A Material B Material C Strain а. Material A has high strength, Material B has low toughness and Material C has high toughness. b. Material A has low toughness, Material B has high strength and Material C has low toughness. С. Material A has low strength, Material B has high toughness and Material C has high strength. O d. Material A has low strength, Material B has low toughness and Material C has high toughness. Stress

1.4 Select the most appropriate answer from the multiple choices given: 1. The world's first seismograph was invented in (a) Japan 2. The first experiments on simple pendulums were conducted by (a) Galileo 3. The Philosophiae Naturalis Principia Mathematica was published by (b) China (c) Egypt (b) Pythagoras (c) Aristotle (a) Galileo (b) Pythagoras (c) Newton 4. Mode shapes of plates, by placing sand on vibrating plates, were first observed by (c) Galileo (a) Chladni 5. The thick beam theory was first presented by (a) Mindlin 6. The number of degrees of freedom of a simple pendulum is: (b) D'Alembert (b) Einstein (c) Timoshenko (a) 0 (b) 1 (c) 2 7. Vibration can be classified in (a) one way 8. Gibbs phenomenon denotes an anomalous behavior in the Fourier series representation of a (a) harmonic function 9. The graphical representation of the amplitudes and phase angles of the various frequency components of a periodic function is known as a (a) spectral diagram 10. When a system…

Question 4 The channel shape cross-section and the rectangular cross-section shown in the Figure Q4 are made of materials with elastic-perfectly plastic behaviour. The yield stress of the material used for the channel shape cross-section is Oy=441 MPa, whereas that used for the rectangular cross-section is 0.70y. Compute the thickness of the web, t, of the channel shape section if the two cross sections have identical plastic bending moment about the z-axis. In Figure 4, h= 83 mm, b=48 mm, a=12 mm, H-83 mm, d= 48 mm Z H b h Z d H

b) A 1.25 m long cable has a diameter 3.50 mm with a Young's Modulus, E, of 9.75 x 10⁹ N/m². When the wire is placed under tension, it experiences a stress of 202.52 x 106 N/m², the length of the cable extends by 36.35 mm. Calculate the force that the cable experiences under tension and the strain energy density (U/V) due to deformation. Give your answers in newtons (N) to 2 decimal places for the force; and in joules per cubic metre (J/m³) for the strain energy density to 2 decimal places. Assume the cable is solid and the material is homogeneous. c) Figure Q1c shows a bracket on rollers that allow the bracket to move along a beam in the horizontal direction. A force F₁ of 2625 N acts at point A where the angle between F, and the x-axis is 100. If force F₂ acts at an angle a = 400 between F2 and the y-axis: (i) Determine the magnitude of F2 necessary to maintain bracket on horizontal equilibrium. (ii) Determine the vertical force at A acting along the y-axis. Give your answers to the…

2.24 Given reasonable values of the material parameters for bone, estimate the axial stress in your femur due to standing, walking, and running. Toward this end, estimate the increase in the applied load (in terms of body weight and in comparison to the load due to standing) due to walking and running. Once done, note that even though we did not discuss it, bone exhibits viscoelastic, not just elastic, behavior under certain conditions. In particular, the Young's modulus increases with increases in strain rate. It has been estimated, for example, that ~ ce, where is the extensional strain rate and c and d are material parameters. If E = 16 GPa at = 0.001 s-¹ (slow walking) and d~0.06, find the value of c. Next, compute the value of E for vigorous activity, with ~0.01 s-¹, and discuss how this would effect your first estimate for stress in your femur.

A) A circular rod with a gage length of 3.6 m and a diameter of 2.3 cm is subjected to an axial load of 51 kN . If the modulus of elasticity is 200 GPa , what is the change in length? B)A circular rod with a length of 4 m and a diameter of 2.4 cm is subjected to an axial load of 61 kN . If the resulting change in length is 3.34 mm , what is the modulus of elasticity? C)A circular rod with a length of 3.7 m and a diameter of 2.7 cm is subjected to an axial load and increases in length by 3.26 mm . The initial portion of the stress-strain curve of the material is given. What is the applied load?

1.25 part b thanks

a)The bore of each cylinder in a six-cylinder car engine is 45 mm and the stroke for each piston is 125 mm. calculate the cubic capacity of the engine in cubic centimetres (cm3 ); and calculate the clearance volume per cylinder for a compression ratio, r, of 8.75. b) The bore of each cylinder in a four-cylinder four-stroke internal combustion engine is 38 mm and the stroke of each piston is 165 mm. During testing, the engine runs at 180 revolutions per minute (rpm) with a pressure-volume indicator diagram showing a mean net area of 3.4 cm2 and a diagram length of 1.2 cm. The pressure scale on the indictor diagram is set to 150 kN/m2 per cm. Calculate the mean effective pressure (m.e.p) and the indicated power developed by this four-cylinder four-stroke engine.

Each bar chart should show the distribution of energy across the categories as well as the total energy for the initial- red and final- blue state.   The system includes 3 units of heat energy, and 2 units of radiant energy. All of the energy in the final state will be converted into mechanical energy.

d)The moment about A induced by the load has a magnitude of _____ kN-m. e)The reaction moment about A has a magnitude of _____ kN-m. f)The moment about C induced by the load has a magnitude of _____ kN-m. g)The reaction moment about C has a magnitude of _____ kN-m. h) The reaction moment about B has a magnitude of _____ kN-m.   HINT: This would NOT be the case if the pin was weathered and rusty. i)The x-component of the reaction force at C has a magnitude of _____ kN. j)The y-component of the reaction force at C has a magnitude of _____ kN. k)The x-component of the reaction force at C has a direction of _____ degrees. l)The y-component of the reaction force at C has a direction of _____ degrees.