A solid circular rod with a a circular groove (r = 1.5 mm) and diameter D = 18 mm, Q4 is subjected to an axial loadP, as shown in figure below. The rod is made of an aluminum alloy that has an elastic modulus E = 72 GPa and a Poisson's ratio v subjected to the axial load P, the diameter of the rod (d) decreases by 0.025 mm. For a factor of safety of 1.75, Determine the magnitude of the safe allowable load P. 0.32. When %3D 个 D P

A solid circular rod with a a circular groove (r = 1.5 mm) and diameter D = 18 mm, Q4 is subjected to an axial loadP, as shown in figure below. The rod is made of an aluminum alloy that has an elastic modulus E = 72 GPa and a Poisson's ratio v subjected to the axial load P, the diameter of the rod (d) decreases by 0.025 mm. For a factor of safety of 1.75, Determine the magnitude of the safe allowable load P. 0.32. When %3D 个 D P

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

The pin-ended wrought-iron pipe shown in the figure below has outer diameter D, inside diameter d, and length L; it supports an eccentric load P based on a safety factor of n. Find the largest allowable eccentricity e. Given: D = 190 mm, d = 170 mm, L = 3.5 m, P = 430 kN, n = 1.4, E = 190 GPa, 0yp = 210 MPa.
A horizontal bar, fixed at one end (x = 0), has a length of 1 m. and cross-sectional area of 100 mm2 Its elastic modulus varies along its length as given by E(x) = 100e-x GPa, where is the length coordinate (in m) along the axis of the bar. An axial tensile load of 10 KN is applied at the free end (x = 1). The axial displacement of the free end is..... mm
b. The steel compression strut BC, that supports the frame AB via pin-joint in Figure Q5b, is a steel tube with an outer diameter of D. = 48 mm and a wall thickness of t = 5 mm. Determine the factor of safety against elastic buckling if a distributed load of 10 kN/m is applied to the horizontal frame member AB as shown. Let Est = 210 GPa = 340 MPa. and y 1 m A C 10 kN/m 2 m Figure Q5b M SITI TEKNOLOGI MALA B MALAYS BR TEKNOLGI WIN
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 torsional moment T = 8,019 Nm and a load P = 39,980 N are applied at the same time to a circular hollow shaft of unknown length L, as shown in Figure Q8. The load P is applied in the centre of the shaft's circular cross-sectional area. The shaft has an inner diameter d = 38 mm and an outer diameter D = 90 mm. Point A in Figure Q8 is on the outer surface of the shaft. Figure 8 Calculate the maximum principal stress at point A. Use π = 3.14159 if needed. Calculate your answer in the unit: mega-Pascal (MPa). Report you answer to 3 decimal places.
A solid circular brass rod is subjected to a compressive axial load of P = 120 kN. The diameter of the rod is d = 30 mm, and its length is L = 1000 mm. After load P is applied, the contraction of the rod is ō = 36 mm, and its diameter becomes d' = 30.360 mm. What is the modulus of elasticity for this material? P L P
Two cylindrical copper alloy bars have the same length L, but different shapes, as can be seen in the figure. The two bars are subjected to the same axial load P. Use the following numerical data: P = 1400 kN, L = 5 m, d = 80 mm, E = 110 GPa, and ν = 0.33. (a) Find the change in length of each bar. (b) Find the change in volume of each bar.
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.
The L-shaped rigid bar shown is pin connected at C, welded to a rigid bar AB at point B, and rests on a composite bar at D. Rigid bar AB is attached to two identical rubber (G = 150 MPa) pads with the shown dimensions and having a thickness of 30 mm each. Meanwhile, composite bar DE is made of hollow aluminum (with outer diameter do and inner diameter di, E = 70 GPa) surrounding a solid steel rod (diameter = di, E = 200 GPa). Determine the maximum force P that can be applied to the rigid bar at B if the allowable normal stresses in aluminum and steel are 80 MPa and 200 MPa, respectively and the shear stress in rubber is 30 MPa.Use the following values:Parameters s = 135 mm x = 3.8 m y = 5.5 m do = 60 mm di = 35 mm
L1 PB 2 E2 L2 D2 Dimensions: L2 L1 D2 D1 17 mm 18 cm 23 cm 15 mm Problem Statement: The rod shown is subjected to loads of PR = 112 kN and Pe = 18 kN. Segments AB and BC have elastic moduli of E, = 206 GPa and E = 73 GPa. The rod has circular cross-sections, and the dimensions of the rod are given above. Find the overall change in length of the rod under this load. Assume: • The collar at B is rigid • Stress concentration effects may be neglected 2014 Michael Swanbom
Shown below is a rigid beam ABC that is connected by pinned connections to rod (1) at A, rod (2) at C, and pivots freely at B. Rod (1) is made of bronze (E=100GPA, a=16.9x10-6/°C) and is 24mm in diameter. Rod (2) is made of aluminum (E=70GPA, a=22.5x10-6/°C) and is 16mm in diameter. The bars are unstressed as shown at 25°C. The temperature of bar (2) is reduced to 10°C while the temperature of bar (1) is held constant. Find the normal stress in bars (1) and (2). 250mm (1) |이 B A 200mm 350mm 500mm (2)
Brass Problem 3: A composite bar is made by attaching a copper rod of length 900 mm and diameter 30 mm and a brass rod of length 600 mm and diameter 45 mm as shown. A load of 20 kN is applied at 20°C. For unyielding supports, find the stresses in the materials when the temperature rises to 50°C. For copper, E = 120 GPa and a = 18 x 10-6 °C. For brass, E = 90 GPa and a = 20 x 106 °C. Copper 20 kN 900 mm 600 mm