2. Use energy methods to find the deflection at the tip in the same direction as force F. The materialproperties are modulus E and shear modulus G. Note the handle has a rectangular cross-section overlength b and a circular cross-section over length a.FDiameter dCross section:txw (t>>w)

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Answered: 2. Use energy methods to find the…

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter11: Columns

Section: Chapter Questions

Problem 11.5.1P: An aluminum bar having a rectangular cross section (2.0 in. × 1.0 in.) and length L = 30 in. is...

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An aluminum bar having a rectangular cross section (2.0 in. × 1.0 in.) and length L = 30 in. is compressed by axial loads that have a resultant P = 2800 lb acting at the midpoint of the long side of the cross section (sec figure). Assuming that the modulus of elasticity E is equal to 10 × 106 psi and that the ends of the bar are pinned, calculate the maximum deflection and the maximum bending moment Mmax.
The Z-section of Example D-7 is subjected to M = 5 kN · m, as shown. Determine the orientation of the neutral axis and calculate the maximum tensile stress c1and maximum compressive stress ocin the beam. Use the following numerical data: height; = 200 mm, width ft = 90 mm, constant thickness a = 15 mm, and B = 19.2e. Use = 32.6 × 106 mm4 and I2= 2.4 × 10e mm4 from Example D-7
Repeat Problem 11.2-14 using L = 12 ft, ß = 0.25 kips/in., ßRl= 1.5ßL2, and ßR2= 2 ßR1.
W= 3kN/m M=3kNm
Derive the following equation of maximum deflection using double integration method. Solve number 16. Show your aolution neatly and accurately. Thank you
2. L=3m 16mm dia. E=200GPA W 5 m 5 m I=10x106 mm When the deflection of the rod is 1mm, compute the force P of the rod.
The deflection at x = 3L/4 is Select one: a. -17wL 384EI O b. -81wL 6144EI O c. -57wL 6144EI Od. -SwL* 384EI
Do not give answer in image and hand writing
For the vertical rod as shown, find the deflection at A and the stress distribution. Use E-100 MPa and weight per unit volume equal to 0.06 N/cm3. (Hint: Introduce weight contribution to the nodal loads and solve using two elements and four elements.) Comment on the stress distribution. a) Use 2 & 4 elements with linear shape functions. b) Use 2 elements with quadratic shape functions. 1.6m C A -Area - 2500 cm² 8 Area - 1500 cm²
P5
For the wire form shown, use Castigliano's method to determine the deflec- tion of point A in the y direction. Consider the effects of bending and torsion only. Use the straight beam formulation for the bending energy. The wire is steel with E 200 GPa, v = 0.29, and has a diameter of 5 mm. Before cation of the 200-N force the wire form is in the xz plane 100 mm. = appli- where the radius R is
The deflection (y) at adistan ce x along abeam of Length L is given by sE (5x²- 5x². + 2X -1), where w is weight, E I E is modulus of elasticity is the second moment Newton - area Thes e are all non -Zero Constants .Using Raphson method, find the distance (x). where the deflection and show Consider X, = 1.5 your answer with IS Zero. four decimal places a ccuracy,

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2. Use energy methods to find the deflection at the tip in the same direction as force F. The material properties are modulus E and shear modulus G. Note the handle has a rectangular cross-section over length b and a circular cross-section over length a. F Diameter d Cross section: txw (t>>w)