Calculate the amount of force needed to break a sample of mullite in 3-point bending with the following geometry (dimensions are in mm). 100 5 Flexural Strength Modulus of Elasticity Material MPa ksi GPa 10º psi Mullite (3Al2O3-2SiO2) 185 27 145 21 7.5

A circular tube of aluminum is subjected totorsion by torques T applied at the ends (see figure).The bar is 24 in. long, and the inside and outsidediameters are 1.25 in. and 1.75 in., respectively. It isdetermined by measurement that the angle of twistis 48 when the torque is 6200 lb-in.(a) Calculate the maximum shear stress t max in thetube, the shear modulus of elasticity G, and themaximum shear strain Υmax (in radians).(b) If the maximum shear strain in the tube islimited to 2.5 x10 -3 and the inside diameteris increased to 1.375 in., what is the maximumpermissible torque?

An aluminum tube with the hexagonal cross-section shown is 2.5 ft long and has a constant wall thickness of 0.080 in. Find (a) the largest torque that the tube can carry if the shear stress is limited to 7200 psi. Use G = 4 x 106 psí for aluminum. 11.5 in 0.075 in O 6734 lb-in O 7634 lb-in O 6374 lb-in O 7346 lb-in

The tension of a specimen of steel having an initial diameter of 0.507 in. was tested using a gauge length of 2 in. The following data were obtained for the elastic and plastic states. For the elastic state PAlb) 10 1000 2000 3000 4000 7000 8400 8800 9200 For the plastic state PAlb) 8800 9200 9100 13200 15200 17000 16400 14800 A/(in) 10 The reduction in the area Ris 0.0004 0.0006 0.0010 0.0013 0.0023 0.0028 0.0036 0.0089 NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. % A, (in2) 0.1984 0.1978 0.1963 0.1924 0.1875 0.1563 0.1307 0.1077 What are the values of the yield strength, Sy and the reduction in the area? The value of the yield strength Sy is [ kpsl. 4

An aluminum-alloy block (E = 70 GPa) is loaded as shown in the diagram below. The application of this load produces a tensile strain of 500 x 10-6 at A as measured by means of a strain gage. Compute the magnitude of the applied force P and locate the neutral axis. 10 cm 15 cm 30 cm 2.5 cm Gage A

10-9 A brass bar having a uniform cross-sectional area of 2 in.² is subjected to the forces shown in Fig. P10-9. Determine the total defor- mation of the bar. The mod- ulus of elasticity of brass is E 17 x 10³ ksi. - 30 kips A 3 ft B 40 kips 30 kips FIGURE P10-9 2 ft C 4 ft 20 kips D

A steel section having a cross section of 20 mm x 30 mm is subjected to an axial force of 240 kN. The steel section has produces a strain of 0.002. If it has a value of Poisson's ratio of 0.30. Which of the following gives the bulk modulus of the steel section.  a. 133333 MPa b. 166667 MPa c. 111111 MPa d. 144444 MPa

The masses of the blocks are A=30kg and B=70kg. Between all of the contacting surfaces, μs= 0.10. What is the largest force F that can be applied without causing the blocks to slip?

Question 1: The piece of plastic is originally rectangular. Given LCD and LAD are 400 and 300 mm, respectively. If the plastic distorts as shown by the dashed lines, a) Determine the average normal strain that occurs along CD. b) Determine the average normal strain that occurs along AD. c) Determine the shear strain Yxy at corner C. 2 mm LCD 2 mm D LAD mm B 12 mm 3 mm mm

1. An axial force of 250 kN is applied to the assembly shown, made of cylindrical brass core surrounded by an aluminum shell. The axial force is applied through rigid end plates. a) Determine the normal stress in each of the metal components, given that Ebrass = 105 GPa and Ealum = 70 GPA. 100mm b) What is the axial deformation of the assembly? 200mm 200mm