Suppose that P= 12 kN and P, = 17 kN. (Eigure 1)
Q: In the test on a steel bar, E = 29.57 x 10° psi and v = 0.303. Find the shear modulus, G. %3D
A: Given data: E=29.57×106 psiν=0.303 Need to determine the value of shear modulus.
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A: For solution refer below images.
Q: Problem #7: For the structure below find the maximum absolute vertical shear stress (Oxy) anywhere,…
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Q: Find the missing stress components if T, = 70MP. , T, = 45 p., T,, = 30GP. ху XZ
A: Given, τxy=70 MPaτxz=45 Paτyz=30 MPa
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Q: 4. Compare between modulus of elasticity ( E) ( 180-220 GPa), and modulus of rigidity (G). for…
A: E=180-220 GPaμ=.27 to .3 for steel G=?E=2G1+μ
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A: Given data: Torque, T=100 N-m G=90 GPa
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A: Given, As = 600 mm2Es = 200 GPa = 200,000 N/mm2Ls = 2 m = 2000 mmAa = 900 mm2Ea = 70 GPa = 70,000…
Q: is shown below, 400 300 200 100 Stress (MPa)
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Q: 3. If P= 100KN, Compute the total deformation. 1,2 m 201 60 CM 7P $=2ch $=6m E = 200 GPa = 100 GPO…
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Q: Problem #7: For the structure below find the maximum absolute vertical shear stress (Oxy) anywhere,…
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Q: Q1: As shown in Fig. 1, there is a gap between the aluminum bar and the rigid slab that is supported…
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Q: A round bar of 10 mm diameter is made ofaluminum alloy 7075-T6 (see figure). When the baris…
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- Repeat Problem 2.3-29 if vertical load P at D is replaced by a horizontal load P at D (see figure).Repeat Problem 2.4-8, but assume that the bar is made of aluminum alloy and that BC is prismatic. Assume that P = 20 kim. L = 3 ft.t = 314 in., b1 2m.b 2.Sin.andElO.400ksi.Repeat Problem 11.3-9. Use two C 150 × 12.2 steel shapes and assume that E = 205 GPa and L = 6 m.
- A steel cable with a nominal diameter of 25 mm (see Table 2-1) is used in a construction yard to lift a bridge section weighing 38 kN. as shown in the figure. The cable has an effective modulus of elasticity E = 140 GPa. (a) If the cable is 14 m long, how much will it stretch when the load is picked up? (b) If the cable is rated for a maximum load of 70 kN, that is the factor of safety with respect to failure of the cable?The main cables of a suspension bridge (see figure part a) follow a curve that is nearly parabolic because the primary load on the cables is the weight of the bridge deck, which is uniform in intensity along the horizontal. Therefore, represent the central region AOB of one of the main cables (see part b of the figure) as a parabolic cable supported at points A and B and carrying a uniform load of intensity q along the horizontal. The span of the cable is L, the sag is /i, the axial rigidity is EA\ and the origin of coordinates is at mid span. (a) Derive the following formula for the elongation of cable AOB shown in part b or the figure: (b) Calculate the elongation 5 of the central span of one of the main cables of the Golden Gate Bridge for which the dimensions and properties are L = 4200 ft,h = 470 ft, q = 12,700 lb/ft, and E = 23,300,000 psi The cable consists of 27,572 parallel wires of diameter 0.196 in. Hint: Determine the tensile force Tal any point in the cable from a free-body diagram of part of the cable; then determine the elongation of an element of the cable of length ds: finally, integrate along the curve of the cable to obtain an equation for the elongation £.Repeat Problem 2.3-18, but assume that the bar is made of copper alloy. Calculate the displacements SBand Scif P = 50 kips, L = 5 ft = 3/5 in., b1= 2.75 in., b2= 3 in., and E = 16,000 ksi.
- A thin metal strip of total weight W and length L is placed across the top of a flat table of width L2as shown in the figure. What is the clearance S between the strip and the middle of the table? (The strip of metal has flexural rigidity EI.)The L-shaped arm ABCD shown in the figure lies in a vertical plane and pivots about a horizontal pin at A. The arm has a constant cross-sectional area and total weight W. A vertical spring of stiffness k supports the arm at point B. (a) Obtain a formula for the elongation of the spring due to the weight of the arm. (b) Repeat part (a) if the pin support at A is moved to D.Repeat Problem 2.3-18, but assume that the bar is made of aluminum alloy. If P2= 200 kN, what is P1so that displacement
- The nonprismalic cantilever circular bar shown has an internal cylindrical hole of diameter dtl From 0 to x so the net area of the cross section n for segment I is A. Load P is applied at x, and load Ptl is applied at x = L. Assume that E is constant. (a) Find reaction force Ry (b) Find internal axial forces Ntin segments I and 2. (c} Find .v required to obtain axial displacement at joint 3 ofA hollow circular tube A fits over the end of a solid circular bar B, as shown in the figure. The far ends of both bars are fixed. Initially, a hole through bar B makes an angle ß with a line through two holes in tube A. Then bar B is twisted until the holes are aligned, and a pin is placed through the holes. When bar B is released and the system returns to equilibrium, what is the total strain energy U of the two bars? (Let lAand lBrepresent the polar moments of inertia of bars A and B, respectively. The length L and shear modulus of elasticity G are the same for both bars.)A bar AB of length L and weight density y hangs vertically under its awn weight (see figure). The stress-strain relation forth? Material is given by the Romberg-Osgood equation [Eq. (2-71)]: Derive the formula For the elongation of the bar.