A rigid horizontal bar ABC is supported by three vertical rods. There is no strain in the rods before load P is applied. After load P = 20 KN is applied, point A moves 3 mm in the direction the load. Determine the strain of the rods after the load is applied.
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- Rigid bar ABCD is supported by two bars as shown. There is no strain in the vertical bars before load P is applied. After load P is applied, the normal strain in bar (2) is measured as −3,300 μm/m. Use the dimensions L1 = 1,600 mm, L2 = 1,200 mm, a = 240 mm, b = 420 mm, and c = 180 mm. Determine (a) the normal strain in bar (1). (b) the normal strain in bar (1) if there is a 1 mm gap in the connection at pin C before the load is applied. (c) the normal strain in bar (1) if there is a 1 mm gap in the connection at pin B before the load is applied.The normal strain in a suspended bar of material of varying cross section due to its own weight is given by the expression γy/3E where γ = 2.9 lb/in.3 is the specific weight of the material, y = 3.4 in. is the distance from the free (i.e., bottom) end of the bar, L = 17 in. is the length of the bar, and E = 24000 ksi is a material constant. Determine, (a) the change in length of the bar due to its own weight. (b) the average normal strain over the length L of the bar. (c) the maximum normal strain in the bar.What is the modulus of elasticity if stress is 300 Mpa and strain of 0.00138? a. 217.39 x 103 Mpa b. 200.61 x 103 Mpa c. 220.61 x 103 Mpa d. 215.21 x 103 Mpa
- When an axial load is applied to the ends of the two-segment rod shown in Figure P2.1, the total elongation between joints A and C is 7.5 mm. The segment lengths are a = 1.2 m and b = 2.8 m. In segment (2), the normal strain is measured as 2,075 um/m. Determine:(a) the elongation of segment (2).(b) the normal strain in segment (1) of the rod.2.Show that volumetric strain in a bar is equal to the sum of strains in three mutually perpendicular directions. 3. Explain the terms: (i) Modulus of elasticity (ii) Modulus of rigidity and (ii) Bulk modulus. 4. Derive the relationship between (i) Modulus of elasticity and modulus of rigidity (ii) Modulus of elasticity and bulk modulusA rod is subjected to a tensile force. The strain developed under loading is 2%. Which of the following measurements will be the resultant length of the rod if its initial length is 200 mm? a. 196 mm b. 208 mm c. 210 mm d. 204 mm e. 202 mm
- The bar ABC shown is loaded by a force P1=20 kN and P2= 40 kN at points C and B respectively. The bar has a constant axial rigidity of 120 x 10^6 N. A. Determine the strain energy of the bar when the force P1 acts alone (P2=0)B. Determine the strain energy of the bar when the force P2 acts alone (P1=0)C. Determine the strain energy when the forces P1 and P2 are acting simultaneously upon the bar.There are three walls, each with different rigidity, along a line of resistance. The walls are numbered 1, 2, and 3, with corresponding rigidities, R1, R2, and R3. The shear along the line of resistance is 9.7 kips. The wall rigidities are R1 = 1.8, R2 = 2.2 and R3 = 0.9. Determine the force in wall 2.A rigid steel bar is supported by three rods, as shown. There is no strain in the rods before the load P is applied. After load P is applied, the normal strain in rod (2) is 1020 μin./in. Assume initial rod lengths of L1 = 148 in. and L2 = 78 in. Determine(a) the normal strain in rods (1).(b) the normal strain in rods (1) if there is a 0.043 in. gap in the connections between the rigid bar and rods (1) at joints A and C before the load is applied.(c) the normal strain in rods (1) if there is a 0.043 in. gap in the connection between the rigid bar and rod (2) at joint B before the load is applied.
- What strain will be produced by a stress of 80 x 106 N/m2, for a given modulus of elasticity 200GPa. a. 0.0008 b. 0.0004 c. 0.004 d. 0.002A 200 meter cable is suspended vertically. At any point along the cable, the strain is proportional to the length of the cable below the point. If the strain at the top of the cable is 0.001, determine the total elongation of the cable.A tensile stress of 75 Mpa and a shear stress of 35 Mpa are induced in a ductile material whose allowable strength in straight tension is 85 Mpa. Determine the maximum shear stress of the material? d.45.6 Mpa c.51.3 Mpa b.50.3 Mpa a.48.9 Mpa