1. Batang ABC dengan tumpuan sendi di A dan C berjarak 2 m satu sama lain. Batang baja AB dan BC dihubungkan dengan sendi di B. Panjang BC adalah 3,0 m. Sebuah papan tanda yang beratnya 5,4 kN digantungkan pada batang BC di titik D dan E. Tentukan luas penampang yang dibutuhkan untuk batang AB dan diameter yang dibutuhkan untuk sendi di titik C jika tegangan ijin tarik dan geser masing-masing adalah 125 MPa dan 45 MPa.
(anggap sendi di tumpuan mengalami geser ganda, juga abaikan berat sendiri batang AB dan BC)
2. Determine the largest weight W that can be supported by the two wires AB and AC: The working stresses are 200 MPa for AB and 250 MPa for AC. The cross-sectional areas of AB and AC are 500 mm2 and 200 mm2, respectively.
3. Sebuah batang komposit tersambung secara kaku dan konsentris, terdiri dari dua batang baja masing-masing berdiameter 20 mm dan panjang 100 mm dan sebatang tembaga berdiameter 50 mm dengan panjang 200 mm. Jika diketahui Elastisitas Baja (Es) sebesar 210 GPa dan Elastisitas Tembaga (Ec) sebesar 120 GPa,
a. Hitung beban aksial sentris P yang menyebabkan terjadinya perubahan panjang sebesar 0,5 mm.
b. Hitung tegangan yang terjadi pada masing-masing batang.
c. Hitung perubahan luas tampang baja dan tembaga jika angka poisson baja νs = 0,3 dan angka poisson tembaga νc = 0,28
4. A rectangular steel block is 3 inches long in the x direction, 2 inches long in the y direction, and 4 inches long in the z direction. The block is subjected to a triaxial loading of three uniformly distributed forces as follows: 48 kips tension in the x direction, 60 kips compression in the y direction, and 54 kips tension in the z direction.
a. If ν = 0.30 and E = 29 × 106 psi, determine the single uniformly distributed load in the x direction that would produce the same deformation in the y direction as the original loading.
b. Find the uniformly distributed load that must be added in the x direction to produce no deformation in the z direction.
5. A 6-in.-long bronze tube, with closed ends, is 3 in. in diameter with a wall thickness of 0.10 in. With no internal pressure, the tube just fits between two rigid end walls. Calculate the longitudinal and tangential stresses for an internal pressure of 6000 psi. Assume ν = 1/3 and E = 12 × 106 psi.
6. Forces have been applied in-plane to a very flexible plate in a laboratory setting. Rectangle A-B-C-D depicts the undeformed geometry. Polygon A’-B’-C’-D’ depicts the deformed geometry. What is the shear strain at point C?
7. The 50-mm-diameter rubber rod is place in a hole with rigid, lubricated walls. There is no clearance between the rod and the sides of the hole. Determine the change in the length of the rod when the 8-kN load is applied. Use E = 40 MPa and ν= 0.45 for rubber.
8. Two 1.75-in. –thick rubber pads to form the shear mount shown in Fig. (a). Find the displacement of the middle plate when the 1200- lb load is applied. Consider the deformation of rubber only. Use E = 500 psi and ν= 0.48.
9. The cross section of the 10-m-long flat steel bar AB bas a constant thickness of 20 mm, but its width varies as shown in the figure. Calculate the elongation of the bar due to the 100 kN axial load Use E = 200 GPa.
10. The rigid bar BC in Fig. (a) is supported by the steel rod AC of cross-sectional area 0.25 in.2. Find the vertical displacement of point C caused by the 2000-lb load. Use E=29×106 psi for steel.
11. Figure (a) shows a homogeneous, rigid block weighing 12 kips that is supported by three symmetrically placed rods. The lower ends of the rods were at the same level before the block was attached. Determine the stress in each rod after the block is attached and the temperature of all bars increases by 100 ℉. Use the following data:
12. Part of a control linkage for an airplane consists of a rigid member CBD and a flexible cable AB. If a force is applied to the end D of the member and causes it to rotate by =0.5°, determine the normal strain in the cable. Originally the cable is unstretched.
13. The rigid pipe is supported by a pin at A and an A-36 guy wire BD. If the wire has a diameter of 0.25 in.,determine the load P if the end C is displaced 0.075 in. downward.
