PROBLEM 2. A bracket is loaded as shown in the figure. In order to determine the location and weight of a particular hanging load P, a strain rosette is attached to the top of the bracket near the wall (assume strain gages are at the wall). The rosette has three gauges, each are 120° apart as shown in the diagram. The bracket material is steel, E = 210 GPa and v = 0.3. When the weight, P, is placed at a distance, s, on the rectangular bracket arm, the three gauges measure the following strains, ɛ,=224.8 microstrain, E,=- 118.3 microstrain, &c=132.9 microstrain. From these three strains, determine the load, P, and the distance, s. 20 mm 12 mm 150 mm 1200 120° 1200

PROBLEM 2. A bracket is loaded as shown in the figure. In order to determine the location and weight of a particular hanging load P, a strain rosette is attached to the top of the bracket near the wall (assume strain gages are at the wall). The rosette has three gauges, each are 120° apart as shown in the diagram. The bracket material is steel, E = 210 GPa and v = 0.3. When the weight, P, is placed at a distance, s, on the rectangular bracket arm, the three gauges measure the following strains, ɛ,=224.8 microstrain, E,=- 118.3 microstrain, &c=132.9 microstrain. From these three strains, determine the load, P, and the distance, s. 20 mm 12 mm 150 mm 1200 120° 1200

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 two bars shown in the figure are used to support a load P. When unloaded, joint B has coordinates (0, 0). After load P is applied, joint B moves to the coordinate position (0.20 in., -0.55 in.). Assume a = 9 ft, b = 6 ft, and h = 7 ft. Determine the normal strain in each bar. B P b h
An aluminum alloy [E = 70 GPa; v = 0.33; a = 23.0x10-6/°C] bar is subjected to a tensile load P. The bar has a depth of d = 270 mm, a cross-sectional area of A = 13520 mm², and a length of L = 4.5 m. The initial longitudinal normal strain in the bar is zero. After load P is applied and the temperature of the bar has been increased by AT = 46°C, the longitudinal normal strain is found to be 1830 με. Calculate the change in bar depth d after the load P has been applied and the temperature has been increased. P Answer: Δd = i d eTextbook and Media Save for Later L mm Attempts: 0 of 5 used Submit Answer
The rod shown in the figure has two cross-sectional areas, where the area of the larger cross-section is 6 times larger than the smaller. The rod is subjected to three point loads, P₁, P2, and P3 at points B, C, and D, respectively. You may assume that the bar deforms in a linear-elastic manner. The cross section of the small rod is equal to A = 2 in² and the modulus of elasticity is equal to E = 20,000 ksi. a) Find the support reactions at A and E, if P₁ = b) Draw the axial force diagram. c) Identify how the position of point C changes due to the applied loadings. A 12 in B P₁ 11 in C 10 kips, P₂ = 20 kips and P3 = 40 kips. P₂ 11 in D P3 E the axu 12 in
The Poisson ratio formula for an auxetic structure given in the figure is given as follows: H = 8 cm L = 4 cm α = 50 ° t = 5 mm The strain value of the structure in the same direction as a result of the pull applied in the X axis from the bottom was measured as 0.26 mm / mm. Under the same loading condition: a) Calculate the strain on the Z axis of the structure. b) In this case, what is the strain type of the structure in the Z axis?
Problem 1. For the grid shown in Figure below, determine the nodal displacements and the local element forces. Let E = 30 x 106 psi, G = 12 x 106 psi, I = 200 inª, and J = 100 in for both elements. 5000 lb 7 2 10 ft 10 ft X
The strains on the surface of an experimentaldevice made of pure aluminum (E = 70 GPa,n = 0.33) and tested in a space shuttle were measuredby means of strain gages. The gages were orientedas shown in the figure, and the measured strainswere εa = 1100 X 10-6 , εb = 1496 X 10-6 and εc = -39.44 X 10-6What is the stress σx in the x direction?
A 45° strain gauge rosette placed on a stainless steel structure results in the following values being determined for the maximum and minimum principal strains: €1 = 1,625.9 ×10–6 and €2 = -753.4 x10-6. Assuming plane stess, determine the factor of safety against the Tresca criterion. For stainless steel, use Young's modulus E = 196 GPa, Poisson's ratio v = 0.29 and yield stress oy = 1120 M Pa. Give your answer to 2 decimal places.
QUESTION 2 The rigid bar ACE is supported by two steel rods AB and CD (Esteel = 200 GPa) with the cross sectional areas of each rod is given as shown in Figure Q2. (a) Determine the position d of the 30 kN load so that the average normal stress in each rod is the same. (b) Find the strain in rod CD, ɛcD (c) Determine the horizontal displacement of point E 1.2 m ACD = 600 mm? 0.8 m E 30 kN AAB = 900 mm2 d B 1.8 m Figure Q2
When an axial load is applied to the ends of the bar shown in the figure, the total elongation of the bar between joints A and C is 0.17 in. In segment (2), the normal strain is measured as 1,450 uin./in. Assume L₁ - 45 in. and L₂ - 94 in. Determine (a) the elongation of segment (2). (b) the normal strain in segment (1) of the bar. P A Answers: L₁ (a) in.₂ = i (b) £₁ = i B (2) L2 in. uin./in.
A 5-mm-thick rectangular alloy bar is subjected to a tensile load P by pins at A and B, as shown in the figure. The width of the bar is w= 26 mm. Strain gages bonded to the specimen measure the following strains in the longitudinal (x) and transverse (y) directions: &x = 840 με and Ey = -265 με. (a) Determine Poisson's ratio for this specimen. (b) If the measured strains were produced by an axial load of P = 18 kN, what is the modulus of elasticity for this specimen? P Answers: (a) v = (b) E= 0.315 i .044 y e Textbook and Media Save for Later GPa B P Attempts: 2 of 5 used Submit Answer
Incorrect A thin square plate PQRS is symmetrically deformed into the shape shown by the dashed lines in the figure. Assume d = 255 mm, d₁=256.1 mm, and d₂ = 253.6 mm. For the deformed plate, determine (a) the normal strain of diagonal QS. (b) the shear strain Yxy at corner P. d₂ 12 d d₁ Undeformed Answer: dos = i 9810.3 R Calculate the deformation of diagonal QS. Deformed X mm
The surface stresses of a pure aluminum device (E = 70 GP a, v = 0.33) that were tested on a space shuttle were obtained with stress sensors. The sensors were oriented as shown in Figure 3 and the unit strains obtained were εa = 1100 × 10−6, εb = 1496 × 10−6, and εc = −39.44 × 10−6.(a) What is the stress σxx in the x direction? Use Mohr's circle.