The mechanical system consists of two identical steel rods (A = 30 mm', E= 20OGPA, a = 15x10/°C) and a "rigid" beam AC. The beam is supported by a smooth pin at B. The nuts at A and C are initially tightened just enough to remove the slack, leaving the two rods stress-free. 1- Determine the axial stresses induced in rods (1) and (2) if the temperature of both rods is decreased by 60°C. 2- Determine the (small) angle 0 through which the beam AC would rotate due to this temperature change. %3D -200 mm 80 mm B. "Rigid" (1) (2) 250 mm

The mechanical system consists of two identical steel rods (A = 30 mm', E= 20OGPA, a = 15x10/°C) and a "rigid" beam AC. The beam is supported by a smooth pin at B. The nuts at A and C are initially tightened just enough to remove the slack, leaving the two rods stress-free. 1- Determine the axial stresses induced in rods (1) and (2) if the temperature of both rods is decreased by 60°C. 2- Determine the (small) angle 0 through which the beam AC would rotate due to this temperature change. %3D -200 mm 80 mm B. "Rigid" (1) (2) 250 mm

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

Please help me, I’m struggling to solve this properly. I will leave good review.
Two hard rubber blocks with Modulus of Rigidity equal to 350 kPa are used in an anti-vibration mount to support a small machine as shown below. Let a = 20 mm, b = 50 mm and c = 80 mm. Deterrmine: (a) the shearing strain in the rubber blocks when a downward deflection of 6.50 mm occurs due to P. (b) the magnitude of P. Include the figure showing the shearng strain and the FBD to support your force equation, (if there is any). Show the step by step solution.
just final answer A rigid component ABC is supported by a pin-connected member (1). The member has a rectangular cross-section with dimensions of 54 mm and 48 mm. The elasticity modulus of the material is 169 GPa. If L1=2421 mm, L2=1226 mm, L3=2272 mm, and L4=2072 mm; Determine the maximum normal stress (MPa) in member (1) without buckling.
I am struggling with this question
3. A spring wire with diameter of 6 mm in a circular arc shape was initially set on the horizontal plane. One end is fixed at point B and the other end A is free. The radius of the arc R-80 mm and the center angle of the arc 0=60°. The wire is made of a steel with modulus of elasticity: 200 GPa and Poisson's ratio: 0.29. Considering that F=25 N which is applied vertically downward at A, find the total deflection at A. Hint: I = π (64)/64 = 63.62 mmª. 0 R BX A F
A horizontal bracket ABC consists of two perpendicular arms AB of a length 0.75 m and BC of a length 0.5 m. The bracket has a solid, circularcross section with a diameter equal to 65 mm. The bracket is inserted in a frictionless sleeve at A (which is slightly larger in diameter), so it is free to rotate about the z0 axis at A and is supported by a pin at C.Moments are applied at point C M1 = 1.5 kN m in the x direction and M2 = 1.0 kN. m acts in the -z direction.Considering only the moments M1 and M2, calculate the maximum tensile stress σv, the maximum compressive stress σc, and the maximum in-planeshear stress τmax at point p, which is located at support port A on the side of the bracket at mid-height.
pts) The rigid L-shaped bar show below is supported by pin at A, steel rod at L, and titanium rod at C. Determine the force in the rods when the 2 k/ft distributed load is applied on arm CA. Determine the reaction at support A. Also, determine the strains in the steel and titanium rods. Show the free body diagrams. Show all calculations. See attached Material Properties Table for required parameters in your calculation. Rod: Steel A-36 Diameter = 3/4" L = 5 ft Rigid 2 kip/ft C 8 ft Rigid Rod: Titanium Alloy Diameter = 3/4" L = 4 ft L 5 ft A
I am struggling with this question
The stresses in a 2-D rectangular steel body (E = 200 GPa, v=0.32) are xx = -A(L - x)y, and oxy = A(h² - 4y²); other stress components are zero. Here, L represents length and h is height. What is the strain component y xy A - (h² - y²) 8E O A A 8G - (h²-x²) - (h²-x²) 8E А A= (h²-y:²) 8G ?
The aluminum bar ABC has a cross-sectional area of 20 mm2 is supported by a pin at A and a steel wire at B. If P = 50 kN calculate the horizontal displacement of P. The cross- sectional area of the wire is 1.75 mm2, modulus of elasticity of aluminum is 70 GPa and the modulus of elasticity of steel is 200 GPa. D 90 cm 90 cm B 180 cm Ale 120 cm
A bronze bar is fastened between a steel bar and an aluminum bar as shown in Fig. Axail loads are applied at the positions indicated. Find the largest value of P that not exceed an overall deformation of 0.1 mm, or the following stresses: 140 MPa in the steel, 120 MPa in the bronze, and 80 MPa in the aluminum. Assume that the assembley is suitablly barced to prevent buckling. Use E = 200 GPa for steel, E=83 GPa for bronze, and E= 70 GPa for aluminum. Steel A= 480 mm² Bronze A = 650 mm² Aluminum A = 320 mm² 3P 4P 2P 1.0 m 1.5 m P = 12.8 KNO P = 6.8 KN P = 1.4 KN P = 0.4 KN 2.0 m
In the figure, torsional moments act on a bar system of abruptly changing cross-section made of the same material. Accordingly, calculate the value of the factor α so that the support responses are of the same magnitude in absolute value. What must the torsional moment=Mb be for the D-end to be zero? Note: The shear modulus of the material is G = 80 GPa Mo= 10 kNm.