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 = 7 (64)/64 = 63.62 mm4. B R

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 = 7 (64)/64 = 63.62 mm4. B R

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

There is a gap of δ = 0.05cm between the steel and copper bars seen in the figure. i) When the ambient temperature rises to 200oC, will there be a reaction force in the bearings? ii) If there is a reaction force, calculate the reaction forces RA and RB at points A and B. The cross-sectional area of both bars is equal and 5cm ^ 2. Materials;Modules of Elasticity: E Steel = 210 GPa E Copper = 120 GPa Expansion Coefficients: α Steel = 12.10-6 1 / 0C α Copper = 16.10-6 1 / 0C
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.
Four axially loaded members are shown below. All members have the same value for E (Young’s modulus) and for ν (Poisson’s ratio).
In the figure, copper AB copper with a diameter of 24 mm and BC steel bars with a diameter of 20 mm are rigidly connected to each other at point B. A force of 6 kN was applied to the rod at the B point and 12 kN at the C point. Since the modulus of elasticity of copper is 100 GPa and the modulus of elasticity of steel is 200 GPa, find the displacement of the C point.
A cable is enacting a force, F, on a built-in hook at an angle 9 as shown in the figure. Determine the displacement of the point at which the force acts, in the direction of the cable if the shaft of the hook has a length L, radius r and elastic modulus E. Ignore the deformation of the circular hook. If E= 200 GPa, F = 50 kN, 0 = 25°, L = 1 m, r- 100 mm: Answer: 8 = 0.196 mm
Thank you. Please help me.
A vertical load P is applied at the center B of the upper section of a homogeneous frustum of a circular cone of length L, minimum radius rB, and maximum radius rA, as shown in the figure below. It is made of a material with a modulus of elasticity E. Neglect the effect of its weight. Use the following values: rA = 2 in, rB = 0.5 in, L = 3 ft, E = 30 (103 ) ksi, and P = 1800 lbf. Discretize the original geometry into three equal-length finite elements and (a) Compute all the nodal displacements. (b) Compute all the element axial stresses. (c) Plot the displacement field from the finite element method solution. (d) Plot the axial stress field from the finite element method solution.
A steel ring at a room temperature has a radius of R, of 1.00 mm x 1.00 mm. One like to insert a bar of radius R, = 2.002 cm into the ring. The following data is known for steel: 2.00 cm and a cross section area • Young Modulus E = 2.00 × 1011 Pa. • Coefficient of length contraction a = 1.20 x 10-5 C-1 • Specific heat capacity c = 511 J.kg-1.C-1 • Mass density p= 8050 kg.m -3 (a) What is the amount of heat needed for heating the ring so that the rod can fitted into it. (b) Assume the rod is rigid, calculate the pressure on the surface of the rod as the steel cool down to the room temperature.
Problem 2 The mechanical system consists of two identical steel rods (A = 30 mm², E = 200GPA, a = 15x106/°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. -200 mm- - 80 mm- A 0f B "Rigid" |(1) (2) 250 mm
A steel torsion bar AB with diameter d = 34 mm, and ductile material of tensile yield strength Sy = 276 MPa is attached to a rigid arm at A, supported by a bearing at C, and fixed at B, as the picture shows. At the right end of the arm is mounted the wheel on which the vertical force P acts from the ground and which passes through the center of the wheel. If bearing C acts as a simple support and the effect of transverse shear due to P is negligible, determine the maximum force P (in kN) that can be applied to the wheel. Consider a factor of safety n = 2.5. Use the maximum energy of distortion failure criterion and do the analysis on bar AB (torsion bar) in the section where the bearing is.
A rod of square cross section (each side b = 0.5 m) and length L = 5 m is exposed to a tensile force P = 100 N and elongates by 0.01 m. The Poisson's ratio is v = 0.3. The change Ab is: (a) 0.3 mm (b) 0.6 mm (c) -2 mm (d) -3 mm (e) None of the given P=100 P=100