Mechanics of Materials (10th Edition)
10th Edition
ISBN: 9780134319650
Author: Russell C. Hibbeler
Publisher: PEARSON
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Textbook Question
Chapter 2.2, Problem 2.14P
Part of a control linkage for an airplane consists of a rigid member CB and a flexible cable AB. If a force is applied to the end B of the member and causes it to rotate by θ = 0.5°, determine the normal strain in the cable. Originally the cable is unstretched.
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Chapter 2 Solutions
Mechanics of Materials (10th Edition)
Ch. 2.2 - A loading causes the member to deform into the...Ch. 2.2 - A loading causes the mamber to deform into the...Ch. 2.2 - A loading causes the wires to elongate into the...Ch. 2.2 - A loading causes the block to deform into the...Ch. 2.2 - A loading causes the block to deform into the...Ch. 2.2 - When force P is applied to the rigid arm ABC,...Ch. 2.2 - If the force P causes the rigid arm ABC to rotate...Ch. 2.2 - The rectangular plate is deformed into the shape...Ch. 2.2 - The triangular plate is deformed into the shape...Ch. 2.2 - The square plate is deformed into the shape shown...
Ch. 2.2 - The square deforms into the position shown by the...Ch. 2.2 - The pin-connected rigid rods AB and BC are...Ch. 2.2 - The wire AB is unstretched when = 45. If a load...Ch. 2.2 - If a horizontal load applied to the bar AC causes...Ch. 2.2 - Determine the shear strain xy at corners A and B...Ch. 2.2 - Determine the shear strain xy at corners D and C...Ch. 2.2 - The material distorts into the dashed position...Ch. 2.2 - The material distorts into the dashed position...Ch. 2.2 - Part of a control linkage for an airplane consists...Ch. 2.2 - Part of a control linkage for an airplane consists...Ch. 2.2 - The nylon cord has an original length L and is...Ch. 2.2 - A thin wire, lying along the x axis, is strained...Ch. 2.2 - Determine the shear strain xy at corners A and B...Ch. 2.2 - Determine the shear strain xy at corners D and C...Ch. 2.2 - Determine the average normal strain that occurs...Ch. 2.2 - The corners of the square plate are given the...Ch. 2.2 - The triangular plate is fixed at its base, and its...Ch. 2.2 - The triangular plate is fixed at its base, and its...Ch. 2.2 - The triangular plate is fixed at its base, and its...Ch. 2.2 - The polysulfone block is glued at its top and...Ch. 2.2 - The corners of the square plate are given the...Ch. 2.2 - The corners of the square plate are given the...Ch. 2.2 - The block is deformed into the position shown by...Ch. 2.2 - The rectangular plate is deformed into the shape...Ch. 2.2 - The rectangular plate is deformed into the shape...Ch. 2.2 - The nonuniform loading causes a normal strain in...Ch. 2.2 - The rectangular plate undergoes a deformation...Ch. 2.2 - The fiber AB has a length L and orientation . If...Ch. 2.2 - If the normal strain is defined in reference to...
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- A specimen consists of a rigid member CBD and a flexible cable AB. A: Determine the normal strain in the cable if a force is applied to the end of D of the member and causes it to rotate by 0=0.5°. The law of cosines may be needed. c2 = a2 + b2 - 2ab cos(C) B: If a force is applied to the end D of the member and causes a normal strain in the cable of 0.0075 mm/mm, determine the displacement of point D. Note that the cable is originally unstretched. x = 350 mm, y=250 mm and z=250 mm y mm Z mm X mm-arrow_forwardDetermine the normal strain in AB and BCarrow_forwardFor the state of a plane strain with εx, εy and γxy components: (a) construct Mohr’s circle and (b) determine the equivalent in-plane strains for an element oriented at an angle of 30° clockwise. εx = 255 × 10-6 εy = -320 × 10-6 γxy = -165 × 10-6arrow_forward
- If the force P causes the rigid arm ABC to rotate clockwise about pin A through an angle of 0.02°, determine the normal strain in wires BD and CE.arrow_forwardThe nylon cord has an original length I and is tied to a bolt at A and a roller at B. A force P is applied to the roller, as shown. AD Part C O O O √/1+40² + √/1+40² B If the cord is originally unstrained when it is at C, determine the normal straine when the roller moves to D. √₁+40³²-√√1+³0²³² L Ac C D Part A Determine the normal strain in the cord when the roller is at C. O O 0240000 Submit √√1+4²-1 Part B O O Determine the normal strain in the cord when the roller is at D. √√₁+40² 1+ O Ac² L² OLA +1 Request Answer Submit √√1-4² +1 AD² ² -1 Request Answerarrow_forwardThe piece of plastic is originally rectangular. Determine the average normal strain that occurs along the diagonals AC and DB. Determine the shear strain at corners A and B if the plastic distorts as shown by the dashed lines.arrow_forward
- An air-filled rubber ball has a diameter of 6 in. If the air pressure within the ball is increased until the diameter becomes 7 in., determine the average normal strain in the rubber.arrow_forwardThe pin-connected rigid rods AB and BC are inclined at u = 30° when they are unloaded. When the force P is applied u becomes 30.2°. Determine the average normal strain in wire AC.arrow_forward1. show complete solution and draw FBDarrow_forward
- The nylon cord has an original length L and is tied to a bolt at A and a roller at B. If a force P is applied to the roller, determine the normal strain in the cord when the roller is at C, and at D. If the cord is originally unstrained when it is at C, determine the normal strain P′ D when the roller moves to D. Show that if the displacements Δ C and Δ D are small, then P′ D = PD − PC.arrow_forwardThe 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" Parrow_forwardDetermine the average normal strain that occurs along the diagonals AC and DB.arrow_forward
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