8-29. A shear spring is made from two blocks of rubber,each having a height h, width b, and thickness a. Theblocks are bonded to three plates as shown. If the platesare rigid and the shear modulus of the rubber is G,determine the displacement of plate A when the verticalload P is applied. Assume that the displacement is smallso that & - a tan y - ay.

Given that: The height of the rubber block is =h The width of the rubber block is =b The thickness…

Answered: 8-29. A shear spring is made from two…

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

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The rigid beam is supported by three 25-mm diameter A-36 steel rods. If the beam supports the force of P=230 kN, determine the force developed in each rod. Consider the steel to be an elastic perfectly plastic material.
4–3. The composite shaft, consisting of aluminum, copper, and steel sections, is subjected to the loading shown. Determine the displacement of end A with respect to end D and the normal stress in each section. The cross-sectional area and modulus of elasticity for each section are shown in the figure. Neglect the size of the collars at B and C. *4–4. Determine the displacement of B with respect to C of the composite shaft in Prob. 4–3.
The force P at D causes the rigid bar CBD to rotate by 0 = 0.5°. The flexible cable AB was unstretched before the application of the force. Determine the normal strain in the cable and the horizontal displacement of point D. A 16" D B C -0-- 12" 12" P
SN = 79 kips
Verify that whether function (let a>0) can be used as stress function. If so, try to find the stress component (without force) and draw the force distribution on the plate as shown. b/2 Þ= a(xy² + x³) 6/2
Q2/ The 10-mm-diameter bolt is made of an aluminum alloy. It fits through a magnesium sleeve that has an inner diameter of 15 mm and an outer diameter of 25 mm. The original lengths of the bolt and sleeve are 80 mm and 50 mm, respectively. If after the nut on the bolt is tightened the tension in the bolt is 10 kN, determine the change in dimension of the cross-section of the bolt and the sleeve. Assume the material at A is rigid. Ea = 70 GPa, Emg = 45 GPa, Ga = 26 GPa, Gmg = 17 GPa. 50 mm 30 mm
The structure is comprised of rigid bars AB and BCD supported by hinges at A and D. A steel rod at C provides additional support to the system. As shown, there is a roller connection between the bars at B. Determine the magnitude of the force P applied as shown if the vertical displacement of point B is limited to 1.5 mm. Neglect the weights of the bars.
7-63. The cotter is used to hold the two rods together. Determine the smallest thickness t of the cotter and the smallest diameter d of the rods. All parts are made of steel for which the failure normal stress is fail 500 MPa and the failure shear stress is fail 375 MPa. Use a factor of safety of (F.S.), = 2.50 in tension and (F.S.), = 1.75 in shear. -d- 30 kN 40 mm d - 30 kN t Prob. 7-63 10 mm =
The bar of negligible weight is supported by two springs,each having a stiffness k = 80 N>m. If the springs are originally unstretched, and the force is vertical as shown,determine the angle theta the bar makes with the horizontal,when the 45-N force is applied to the bar. 1.5 m- 3 m C В 45 N
The link AB of the pliers has the cross section dimensions 3mm x 20mm, and is made of steel with elastic modulus E= 190 GPa. Determine the value of the force F that would cause failure of the link by buckling
F=150lb a=6in bd=8in
If the 20-mm-diameter rod is made of A-36 steel and the stiffness of the spring is k = 50 MN>m, determine the displacement of end A when the 60-kN force is applied.

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