Show that the true strain rate in extruding a round billet of radius ro as a function of distance x from the entry of a conical die can be given as: 2Vortana where; Vo: ram velocity - (ro-xtana)3

Q: In the linear region of the Strain vs. Stress diagram is called Elastic Modulus * O True False

A: False The linear region is not Elastic modulus

Q: Draw the shear and moment diagram for the beam shown and find the maximum moment. 7N A B, C 6m 4m

A:

Q: A 210 mm diameter pulley is prevented from rotating relative to a 61 mm diameter shaft by a 71 mm…

A: The width (b) is 15.90 mm

Q: What is the difference between tensile strain and volume stress?

A: Step 1Stress is the force applied to unit are to produce a change in shape, volume or length of a…

Q: True or False: A cylindrical rod with a cross sectional area of 0.1 m^2 which is subjected to a…

A:

Q: A metal slab of side (74+ 75) cm and thickness (74 + 25) cm is subjected to a tangential force of…

A:

Q: After a fall, a 110 kg rock climber finds himself dangling from the end of a rope that had been 19 m…

A:

Q: The wing of an aircraft is loaded by a torsional moment MT, creating a shear flow. What unit does…

A: Given: The torsional moment is MT. The shear flow is q.   Shear Flow:Shear flow is described as…

Q: If load B has a downward velocity vg, determine the upward component (vA), of the velocity of A in…

A: The diagram is given  To find = upward component of velocity of velocity A in terms of B ,l,θ

Q: The stress - strain relationship become nonlinear in the elastic region. O True O False O O

A:

Q: A 15 cm long animal tendon ( وتر ) was found to stretch 3.7 mm by a force of 13.4 N. The tendon was…

A: Given: length of animal   lo=15 cm =150 mm            force F=13.4 N            Diameter=D =…

Q: A thin polymer plate PQR is deformed such that corner Qis displaced downward 0.0400-in. to new…

A: Given,a = 36 inb = 9 inc = 18 inshear strain, ∆ 0.0400 in

Q: A vertebra is subjected to a shearing force of 500.0 N. Find the shear deformation, taking the…

A:

Q: 0.02 1 1.4 0.5 0.04 2 2.8 1 0.06 3 4.2 1.5 0.08 4 5.6 2 0.1 5 7 2.5

A: Solution:

Q: A material of Poisson's ratio 0.5. If a uniform rod it suffers a longitudinal strain of 2*10 -3,…

A: Poisson ration

Q: 10) A femur bone of length 30 cm and diameter 2.5 cm is subjected to a compressive tress of 1.5 *10…

A:

Q: One end of a metal rod of radius R =8.7 mm and length L-81 cm is held in a vise, see figure. A force…

A: The expression for the Young’s modulus is,

Q: A wall climber of mass 85 kg dangles at the end of a rope. The rope has a diameter of 9.6 mm, and is…

A: mass= 85 Kg Length, L= 21 m radius, r= 4.8 mm ∆L= 3.2 cm

Q: |A hollow vessel in the form of a hemi sphere of radius 30 cm. is placed such that the plane rim is…

A:

Q: For the beam and loading shown, determine the maximum absolute value of bending moment and shear.

A: Draw the free-body diagram of the beam.

Q: If the curvature of this pole is measured, can the bending stress developed within it be determined?…

A: To determine: The bending stress can be determined, if the curvature of the pole is measured.

Q: A cube made of an unknown material has a dimension of 6 cm on all edges. If the upper face is…

A: Shear modulus of the material is, η=FLAx=FLL2x=FLx

Q: Hooke's Law may also be stated in the same relation as Young's Modulus where "the strain in a solid…

A: Hooke's law is define as that the strain in a solid body is directly proportional to the applied…

Q: The bulk modulus of K, modulus of elasticity E and Poisson's ratio is then which of m the following…

A: The relation between the bulk modulus(K), modulus of Elasticity(E) and the Poisson's ratio(ν) is…

Q: A steel ring of radius r and cross-section area A is shifted on to. a wooden disc of radius R (R >>…

A:

Q: Consider a steel bolt as a cylinder with a diameter of 3.41 cm and length of 13.8 cm. A shear or…

A: diameter of 3.41 cm  length of 13.8 cm shear stress of 313 MN/m ² shear Modulus Ssteel =G= 8.4×…

Q: The change in the relative configuration of point within a solid is called strain

A: In the given question we have to discuss about the strain.

Q: A steel wire having a radius of 2.0 mm, carrying a load of 4kg, is hanging from a ceiling. Given…

A:

Q: Between each pair of vertebrae in the spinal column is a cylindrical disc of cartilage. Typically,…

A: Given:- this disc has a radius of about 3.2 x 10-2  m  a thickness of about 1.2 x 10-3 m. The shear…

Q: A thin rectangular plate is uniformly deformed, as shown. Determine the shear strain yy at P. Assume…

A:

Q: A system requires a metal component with the design specification that it not experience more than…

A: Given data: The stain is ε=0.1%=1×10-3 The range of the stress is σ=0,1000 kPa First, calculate…

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

A:

Q: V(N) 525 -x(m) -675 M(N-m) 300 X(m) The shear and moment diagrams are shown for a simply supported…

A:

Q: The hollow steel cylinder DNGL, fixed on one end, is subjected to two torques and an axial load, as…

A: Area of the hollow cylinder is find by the A=πRO2-RI2

Q: If the solid shaft is made from red brass C83400 having allowable shear stress of tallow = 4 ksi,…

A:

Q: 8- Evaluate Young's modulus for the material whose stress – straincurve is shownin Figure. Stress…

A: As per guidelines, only first question(8) is solved here. Young modulus is slope or gradient of…

Q: The five-bolt connection shown in the figure must support an applied load of P = 270 kN. If the…

A: Stress is defined as the force experienced by the object in unit area which causes change or…

Q: What does the stress in a composite beam depend on? O the modulus of elasticity of both materials…

A: The stress in a composite beam is given by   where I1 and I2 are the moments of inertia about the…

Q: A thin rectangular plate is uniformly deformed, as shown. Determine the shear strain y, at P. Assume…

A:

Q: In the clevis shown, find the minimum bolt diameter  that will support a load P = 14 kips without…

A: Given Data:- The load is P = 14 kips. The shearing stress is τ =14 ksi. The bearing stress is σB =…

Q: The pole in the figure is a a 90° bend in a power line and is therefore subjected to more shear…

A: Tension in wires at top , T = 3.5 x 104 N Angle made by wire with the vertical , θ = 80° Height of…

Q: The pole in the figure is at a 90° bend in a power line and is therefore T. ubjected to more shear…

A: Young's modulus is the slope of the linear part of the stress-strain curve for a material under…

Q: A 16.3 cm long tendon is found to stretch 2.11 mm when a force of 18.8 N is applied to it. If the…

A: Given value--- initial length = 16.3 cm. change in length = 2.11 mm. Force = 18.8 N . diameter =…

Q: Jsing the circle (radius = r =2 cm) and ellipse (long axis = 3 cm, short axis = 1.5 cm) of Figure…

A:

Q: After a fall, a 94 kg rock climber finds himself dangling from the end of a rope that had been 18 m…

A:

Mechanical Properties of Solids

There are three types of matter- solid, liquid and gas. Out of them, solids have a rigid shaped and size. The intermolecular forces of attractions in solids are greatest. Mechanical properties are the physical properties of a material which it shows, when it is provided with certain amount of force or load. These properties are to be kept in mind for various purposes. When a force is applied to an object, the object may or may not get deformed depending upon its elastic property. But every time the object develops a restoring force against the force applied. This is commonly known as stress. If the object changes its dimensions due to the force applied it develops strain ( which is the ratio of change in dimension to the original dimension).