A thin triangular plate PQR forms a right angle at point Q. During deformation, point Q moves to the left by u = 1.4 mm and upward by v = 4.0 mm to new position Q'. Determine the shear strain y at corner Q' after deformation. Use c = 675 mm, a = 27°, and ß = 63° P

A thin triangular plate PQR forms a right angle at point Q. During deformation, point Q moves to the left by u = 1.4 mm and upward by v = 4.0 mm to new position Q'. Determine the shear strain y at corner Q' after deformation. Use c = 675 mm, a = 27°, and ß = 63° P

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter7: Analysis Of Stress And Strain

Section: Chapter Questions

Problem 7.7.13P: An clement of material in plane strain (see figure) is subjected to strains ex= 480 × 10-6, Ey= 70 ×...

See similar textbooks

Related questions

Q: The disk has a mass of 15 kg. It is suspended from a spring having an unstretched length of 400 mm.…

A: Given DataThe mass of the disk m =15KgThe weight of the disk W=m*g=15*9.81=147.15NThe unstretched…

Q: F1 = 90 lb and F2= 50 lb. Determine the resiltant moment of the two forces about the a axis. Express…

A: To find:The resultant moment of the two forces about the 'a' axis.

Q: The five-bolt connection must support an applied load of P = 3400 lb. If the average shear stress in…

Q: Consider the polar axis of the earth to be fixed in space and compute the magnitudes of the velocity…

A: Mean diameter= 12742kmThe latitude angle= 36° Angular velocity= 0.7292×10^(-4)(rad/s)Find the…

Q: g. The circus manager doesn't believe your equations. He draws a diagram showing some possible…

Q: A hollow mast of circular section as shown is to be stiffened by bonding two strips of the same…

Q: A ramjet drives a missile at V0=966m/s at an altitude of 33.5km (air density 0.01kg/m3 and T0=232K).…

A: The missile speed, Vo = 966 m/sThe density of air = 0.01 kg/m^3The temperature, To = 232 KThe…

Q: The speed of a car increases uniformly with time from 38 km/h at A to 91 km/h at B during 16…

A: Speed of a car increases uniformlySpeed at A = 38 km/h VA = 38 × 5/18 = 10.55556 m/sSpeed at B = 91…

Q: 1. A glass fibre reinforced epoxy matrix composite contains 60 volume percent of continuous glass…

A: For glass fibre:For epoxy resin material:To determine:young's modulus of composite in longitudinal…

Q: Fundamental Problem 4.7 Figure 1 -1m- F3 of 1 2 m- 45° 2.5 m F F₂ Part A Determine the resultant…

Q: A pin-connected truss is loaded and supported as shown. Each aluminum member has a cross-sectional…

Q: Describe how a screw and nut move in relatively opposite directions.

A: Since, you have posted multiple questions, as per guidelines, we can solve first question for you…

Q: The normal strain in a suspended bar of material of varying cross section due to its own weight is…

A: Given:The values are , , .The length of the bar is .The elastic constant is .Formula used:The…

Q: Pipe (2) is supported by a pin at bracket Cand by tie rod (1). The structure supports a load P at…

Q: An open tank 1.22 meter in diameter and 1.4 m height is filled with diesel oll (S.G.0.85). Assuming…

A: D = 1.22 m h = 1.4 m S.G = 0.85 73% of its capacity is occupied by dieselTo find: Absolute pressure…

Q: Find the center temperature of the cylindrical block after 19.1 min.

A: for cylinder block - h= 5cmd=5cmfor cylinder

Q: The impeller diameter of a centrifugal pump used in water pumping is 250 mm, the inlet radius of the…

A: a) The flow rate of the water passing through the pump is 0.0476 m³/s.Explanation:a) The flow rate…

Q: 4. Given the frame below, determine the forces on member EBD at B and D. 2 ft •D A B 3 ft с AL 4f+…

Q: 4. The Wright brothers used a very thin wing on their 1903 flyer. In addition, they made extensive…

A: The chord length, c = 0.04 mThe span, b = 0.26 mThe wind speed, u = 13 m/sThe density of air, ρ =…

Q: . Draw a free body diagram of the crate. Also, answer the multiple choice question.

Q: Water is heated in a boiler tube at steady state from an inlet state of 500 kPa 25 deg-C (State-1)…

A: P1=500 kPa, T1=25 Cexit state: P2=500 kPa, T2=500 C

Q: A simply supported beam of hollow rectangular cross section is 100mm deep and 60mm wide with a wall…

Q: Member AB is supported by a cable BC and at A by a square rod which fits loosely through the square…

A: According to the data a structure is ABC is provided with the loading as shown in the figure We need…

Q: Compute the thread pitch and friction angle for a screw,

A: to compute the thread pitch and friction angle for a screw,

Q: In a cylinder, the heat rejected is 32 kJ while the decrease in internal energy of the gas is 92 kJ.…

Q: The normal strain in a suspended bar of material of varying cross section due to its own weight is…

Q: What do you know about the discipline of mechanical engineering's Pro/Engineer program? What are the…

A: Pro/engineer is a 3-D based modelling program. It is used to create complex designs with help of…

Q: Rigid bar ABCD is loaded and supported as shown. Bars (1) and (2) are unstressed before the load P…

Q: A car P travels along a straight road with a constant speed v = 59 mi/hr. At the instant when the…

Q: 1. Composite Brick Wall A 3.0 in thick brick wall has an outside surface temperature of 15 o F at a…

Q: b) What would be the expected life for a SKF bearing number 6208 as stated in Table 1 below if it…

Q: Question 3 a) Block A, having a mass of 1 kg, is released from rest, falls 2 m, and strikes plate B…

A: As per bartleby rule we have to solve one question in one post so i have solved one question, please…

Q: 1. Answer the following questions. (i) Consider water substance at an absolute pressure of 20 bar…

Q: A stainless steel tube with an outside diameter of 52 mm and a wall thickness of 5 mm is used as a…

Q: For the area shown, use composite shapes to determine the x and y positions of the centroid relative…

A: The centroid of the shape.Given:The length is .The composite is shown below.

Q: The A992 steel control rod AB shown in (Figure 1) has a diameter of 1.45 in. It is pin connected at…

A: Rod diameter (d)= 1.45 inch Rod material A992 steel Required: Maximum force P that can be applied…

Q: The design of a camshaft-drive system of a four-cylinder automobile engine is shown. As the engine…

Q: In the equipment shown below, a force Facts on point C. causing the mechanism to crush the block…

Q: A 542 kg hammer of a pile driver is lifted 3.1 meters above a piling head. If the hammer is…

Q: *6-56. Water flows through A at 6 m/s and is discharged into the atmosphere at B and C. Determine…

A: It is given that the velocity at A , diameter at A is , diameter and . It is required to determine…

Q: The maximum bolt preload that can be applied is) Ibf.

Q: 4) Find i) vertical displacement at C and ii) horizontal displacement at A. Ans: 4A== 14, Pa ZEA…

Q: Draw the profile of a cam operating a roller reciprocating follower and with the following data:…

Q: Learning Goal: The crate shown is held against wedge B by a spring. The spring is 93.5% of its…

Q: The beam is supported by a pin at C and by a short link AB. Each pin has a diameter of 14 mm. Assume…

A: According to the given datad=14mmL=1.1mWe need to findLoad(w)

Q: The spherical roller bearings shown below are often used for large machines because:

A: Since you have posted multiple questions, we will provide the solutiononly to the first question as…

Q: 40 m 20 m A river is blocked by a dam with the shape of an trapezoid. The dam is 20 m tall, 20 m at…

A: The height of the dam is 20 m.Hence the centroidal distance of the each face of the dam from the…

Q: A shaft is designed to transmit power of 100 kW at 180 rpm. The allowable shear stress is 50MPa and…

A: The power transmitted, P = 100 kWThe speed of shaft, N = 180 rpmThe allowable stress = 50 MPaThe…

Q: Air is supplied to a C-D nozzle from a large reservoir where stagnation pressure and temperature are…

Q: 1. A heat pump consumes 28 kW of power and removes 154 kW of heat from the low temperature…

A: Power consumption of heat pump:And heat removal from the low temperature reservoir:Because heat pump…

Question

Give the complete, detailed, step by step solution.

A thin triangular plate PQR forms a right angle at point Q. During deformation, point Q moves to the left by u = 1.4 mm and upward by
v = 4.0 mm to new position Q'. Determine the shear strain y at corner Q' after deformation. Use c = 675 mm, a = 27°, and ß = 63°
I
U1
Answer:
y = i
P
B
R
C
urad

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Given data is

VIEW

Step 2: Determination of the shear strain

VIEW

Solution

VIEW

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

A strain rosette (see figure) mounted on the surface of an automobile frame gives the following readings: gage A,310 × 10-6:gage B,180 × l0-6; and gage C. -160 × 10-6. Determine the principal strains and maximum shear strains, and show them on sketches of properly oriented elements.
An clement of material in plane strain (see figure) is subjected to strains ex= 480 × 10-6, Ey= 70 × l0-6, and yxy= 420 × l0-6. Determine the following quantities: (a) the strains for an element oriented at an angle 0 = 75°, (b) the principal strains, and (c) the maximum shear strains. Show the results on sketches of properly oriented elements.
The strains for an element of material in plane strain (see figure) are as follows: x = 480 ×10-6. y = 140 × l0-6, and xy = —350 x 10”. Determine the principals strains and maximum shear strains, and show these strains on sketches of properly oriented elements.
A circular aluminum tube subjected to pure torsion by torques T(sec figure) has an outer radius r2equal to 1.5 times the inner radius r1. (a) If the maximum shear strain in the tube is measured as 400 × 10-6 rad, what is the shear strain y1at the inner surface? (b) If the maximum a1lo-abk rate of twist is 0.125 °/m and the maximum shear strain is to be kept at 400 × 10-6 rad by adjusting the torque T, that is the minimum required outer radius ( r2)Min?
The normal strain in the 45n direction on the surface of a circular tube (sec figure) is 880 × 10 when the torque T = 750 lb-in. The tube is made of copper alloy with G = 6.2 × 106 psi and y = 0.35. If the outside diameter d2of the tube is 0.8 in., what is the inside diameter dt? If the allowable normal stress in the tube is 14 ksi, what is the maximum permissible inside diameter d?
An aluminum tube has inside diameter dx= 50 mm, shear modulus of elasticity G = 27 GPa, v = 0.33, and torque T = 4.0 kN · m. The allowable shear stress in the aluminum is 50 MPa, and the allowable normal strain is 900 X 10-6. Determine the required outside diameter d2 Re-compute the required outside diameter d2, if allowable normal stress is 62 MPa and allowable shear strain is 1.7 X 10-3.
A thin triangular plate PQR forms a right angle at point Q. During deformation, point Q moves to the left by u = 1.4 mm and upward by v = 5.1 mm to new position Q'. Determine the shear strain y at corner Q' after deformation. Use c = 680 mm, a = 21%, and ß = 69% If U Answer: y = i P a B R urad
A thin triangular plate PQR forms a right angle at point Q. During deformation, point Q moves to the left by u = 2.3 mm and upward by v = 3.9 mm to new position Q'. Determine the shear strain y at corner Q' after deformation. Use c = 685 mm, a = 31°, and B = 59° If U Answer: y = i P B R urad
A thin triangular plate PQR forms a right angle at point Q. During deformation, point Q moves to the left by u = 2.8 mm and upward by v = 5.4 mm to new position Q'. Determine the shear strain y at corner Q' after deformation. Use c = 635 mm, a = 26°, and 3 = 64° U Answer: y = P R urad
A thin triangular plate PQR forms a right angle at point Q. During deformation, point Q moves to the left by u = 2.6 mm and upward by v = 5.2 mm to new position Q'. Determine the shear strain y at corner Q' after deformation. Use c = 620 mm, a = 29°, and B = 61°. 41 Answer: y = i urad
A thin triangular plate PQR forms a right angle at point Q. During deformation, point Q moves to the left by u = 2.8 mm and upward by v = 5.6 mm to new position Q'. Determine the shear strain y at corner Q' after deformation. Use c = 620 mm, a = 26°, and B = 64° Answer: y = i P a B R urad
A thin triangular plate PQR forms a right angle at point Q. During deformation, point Q moves to the left by u = 1.9 mm and upward by v=4.9 mm to new position Q'. Determine the shear strain y at corner Q' after deformation. Use c = 730 mm, a = 22°, and ß = 68° U Answer: y = i P a B R urad