A cube 80 mm on a side is made of a rigid foam material and floats in water with 60 mm of thecube below the surface. Calculate the magnitude and direction of the force required to hold itcompletely submerged in glycerin, which has a specific gravity of 1.26.F, = ?Glycerin60 mm80 mmWater80 mm80 mm

Answered: Image /qna-images/answer/4a450713-4176-452f-8846-da2ca7fa18be.jpg

Answered: A cube 80 mm on a side is made of a…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Determine the x and y coordinates of the center of mass in L for a steel rod of length L, whose diameter at the wide end is twice the diameter at the narrow end. (The density of the steel material is constant).
A 4 meter long steel plate with a rectangular cross section (10 mm x 50 mm) is resting on a frictionless surface under the sun. The plate temperature is measured to be at 40°C. The plate is then moved into a cold room and is left to rest on a frictionless surface. After several hours, the plate temperature is measured to be 5°C. The steel has a modulus of elasticity equal to 200 GPa and a coefficient of thermal expansion equal to 1.1x10-5/°C. a. What is the length of shrinkage b. What tension load is needed to return the length to the original value of 4 meters? c. What is the longitudinal strain under this load?
Determine the magnitude of the horizontal and vertical components of the total force acting on thecylinder per meter of its length.
For a nonwetting liquid, such as water, the surface is convex since the force of cohesion will be greater than that of adhesion. Water is non-Newtonian. Temperature at which water has the highest density is usually taken as 4°C(39.2°F). PROBLEM 1: A closed tañk whose bottom is 18 inches in diameter is filled with three liquids: 4 inches of carbon tetrachloride (SG=1.59), 2 inches of water and 12 inches of syrup (SG=1.31). The air chamber in the tank is pressurized at 1296 psf. a. Determine the pressure at the interface of carbon tetrachloride and syrup. * Your answer b. Determine the difference in pressure between the interface of water and syrup and the interface of carbon tetrachloride and syrup.
There is no force on a beam, but the beam is subjected to a very large temperature difference above and below. As shown in the figure below, try to calculate the vertical displacement of the midpoint of the beam, assuming that the temperature coefficient of the entire beam is a = 11.7×10^-6 °F. Tip: See Mechanics of Materials for Beam Deformation Geometry
Problem # 1: The two rods as shown in the figure are attached to each other and the aluminum rod is fixed at the wall. The rods are initially unstressed and then a 20, 000 lb horizontal force is applied to the end of the brass rod as shown. Additionally, the rods experience a temperature increase of 80 °F. Use Linear coefficient of Expansion: Aluminum 13 x 10-6/°F Brass = 11 x 10-6/°F Young's Modulus: EAluminum = 10 x 106 lb/in2; EBrass = 15 x 106 lb/in² Determine; a) the final stress that develops in the aluminum rod, b) the total displacement of point C. Aluminum 10 ft B Aal- 2in² Brass 6 ft C 2 1in² Abr F = 20,000 lb
The lower ends of the three bars in the figure are rigid homogeneous W = at the same level before the 100 kN block is attached. The temperature of the bars is then increased by 80°c. The block is assumed to remain horizontal after all deformations have occurred. The properties of the bars are shown in the table. STEEL BRÖNZE Length, L Area, A Modulus of Elasticity, E Coefficient of Thermal Expansion, a 1.0 m 1.6 m 500 mm2 900 mm? 200 GPa 83 GPa 11.7x10-6 mm/ (mm-°c) 18x10-6 mm/ (mm-°C) Calculate the stress developed in the bronze bar. Bronze Steel Steel A Calculate the stress developed in the steel bar. FIGURE 10
Four forces are applied to the machine component ABDE as shown. Determine the resultant acting at A. 200 mm A 40 mm | 50 N 20 mm 300 N 250 N 160 mm 100 mm 120 N
A 4-m-long steel plate with a rectangular cross section (10 mm * 50 mm) is resting on a frictionless surface under the sun. The plate temperature is meas-ured to be at 40°C. The plate is then moved into a cold room and is left to rest on a frictionless surface. After several hours, the plate temperature is meas-ured to be at 5°C. The steel has a modulus of elasticity equal to 200 GPa and a coefficient of thermal expansion equal to 1.1 * 10-5m/m/°C. a. What is the length of shrinkage?b. What tension load is needed to return the length to the original value of 4meters?c. What is the longitudinal strain under this load?
3. An aluminum material element experiences a state of plane stress with the magnitudes and directions of the stress components given in the figure. Please calculate the change in volume per unit volume this material element would experience when subjected to the stress state given in the image below and a temperature increase of 80°C. (Note that the dotted horizontal line and 15 degree angle are irrelevant to this problem). Aluminum Properties: Thermal Coefficient of Expansion = 24 x 10-6 mm/mm/°C, Elastic Modulus = 69 GPa, Poisson Ratio = 0.35 250 MPa 60 MPa 15° 150 MPa
1.31 A steel rod, which is free to move, has a length of 200 mm and diameter of 20 mm at a temperature of 15°C. If the rod is heated uniformly to 115°C, determine the length and the diameter of this rod to the nearest micron at the new temperature if the linear coefficient of thermal expansion of steel is 12.5 x 10° m/m/°C. Is there a stress on the rod at 115°C?

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