A cone of base diameter 40 mm and height 50 mm is resting centrally on the top ofcylinder whose base diameter is 50 mm and height 60 mm. Draw isometric view of the solids.

The homogeneous bar weighs 45N. It is resting on friction surfaces at A and B. Draw the FBD of the bar and determine the number of unknown.

Required: Determine if each structure is unstable, externally statically determinate, or externally statically indeterminate. If the structure is externally statically indeterminate, state the degree of indeterminacy. If the structure is unstable, describe in words and with a drawing, the mechanism of instability. (a) (c) (d) Note: Joint at center of structure is fixed (b) Note: Joint in center is a roller

Prob. 2.9-10. At room temperature (70°F) and with no axial load (P = 0) the extensional strain of the prismatic bar (Fig. P2.9-10) in the axial direction is zero, that is, € = 0. Subsequently, the bar is heated to 120°F and a tensile load P is applied. The material properties for the bar are: E = 10 × 10³ ksi and a = 13 x 10-6/F, and the cross-sectional area of the bar is 1.8 in². For the latter load-temperature condi- tion, the extensional strain is found to be €x = 900 × 10 6. (a) Determine the value of the axial tensile load P. (b) De- termine the normal stress and the shear stress on the oblique plane NN'. (Note: The total strain is the sum of strain asso- ciated with normal stress o (Eq. 2.14) and the strain due to change of temperature AT (Eq. 2.8).) in. P Gage measures extensional strain Ex N N' 25° P2.9-10 X

The brass rod AB is fixed connected at A. When the temperature is T₁-50 °C, there is a 3 mm gap between its end (point B) and the wall C. The cross-sectional area of the rod is 10 cm². Ignore the weight of the bar. The temperature is now increased to T₂-130 °C and the rod AB is pushing against the wall at C. Ebr = 100 GPa, abr = 20 x 10-6/°C Fallow 70 MPa L = 3m A 3 m B/C с 3 mm a. Draw a FBD for when the temperature is increased to T₂ and write down the force balance for this scenario. Call the reactions at FA and FC. Ton =1) und prit brolim volgen Aistis Intelesa si s b. State the compatibility condition and solve for the reactions at A and C.

A snow load transfers the forces shown to the upper joints of the Pratt and Howe roof lattices shown below. Ignoring the horizontal responses on the supports ( \(A x=Ex=0 \)) a) Determine the forces in all members using the joint method. Pratt Roof Truss System: AA A 2 Rods Pull Push CC=5,7 WIDTH (m) x=2 y=3,4 height (m) z=4,2 X 1 BB H 2 y 3 CC G y BB 5 D F X Pratt Roof Truss System SOLUTION: 6 AA E A 4-digit number must be written after the comma. For example 14.7845. Forces (kN) AA=4,2 BB=4,2 A

1 of 4 2) 9-39. Locate the center of gravity of the volume. The material is homogeneous. 2 m 2 m y² = 2z ent is y

Determine the degree of determinacy of the structure shown below. Put "-1" if unstable, "O" if determinate and the degree of indeterminacy if indeterminate.

Determine the center of mass in y axis (ỹ) of the homogeneous solid block. L = 0.61m L 3L 1.8 m y 4L 3L - Ancwor:

Q3- Check the stability and determinacy of the structures below. A