The extruded plastic shape has dimensions of D = 37 mm, d = 33 mm, a = 91 mm, and t = 7 mm. (a) Determine the magnitude of the horizontal shear stress at point A for a shear force of V = 385 N. (b) If the allowable shear stress for the plastic material is 1100 kPa, what is the magnitude of the maximum shear force V that can be applied to the extrusion? HO D d Z Answer: (a) TA= (b) V= V tik a kPa N

The extruded plastic shape has dimensions of D = 37 mm, d = 33 mm, a = 91 mm, and t = 7 mm. (a) Determine the magnitude of the horizontal shear stress at point A for a shear force of V = 385 N. (b) If the allowable shear stress for the plastic material is 1100 kPa, what is the magnitude of the maximum shear force V that can be applied to the extrusion? HO D d Z Answer: (a) TA= (b) V= V tik a kPa N

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 extruded plastic shape has dimensions of D = 37 mm, d = 33 mm, a = 91 mm, and t = 7 mm. (a) Determine the magnitude of the horizontal shear stress at point A for a shear force of V = 385 N. (b) If the allowable shear stress for the plastic material is 1100 kPa, what is the magnitude of the maximum shear force V that can be applied to the extrusion? D d а V Answer: (a) TA = kPa %3D (b) V = N
Determine the shear force acting at each of the following locations: (a) x = 0+ ft (i.e., just to the right of support A) (b)x= 3 ft (c) x = 12-ft (i.e., just to the left of support C) (d) x = 12+ ft (i.e., just to the right of support C) When entering your answers, use the shear force sign convention. Answers: (a) V = (b) V = i i (c) V = i (d) V = i kips. kips. kips. kips.
The extruded plastic shape will be subjected to an internal shear force of V 385 lb. Dimensions of the cross section are b= 1.2 in., d= 2.4 in., c= 1.6 in., and t= 0.13 in. Determine: (a) the magnitude of the horizontal shear stress at points A and B. (b) the magnitude of the horizontal shear stress at point C, which is located at a distance of yc 0.8 in. below the z centroidal axis. (c) the magnitude of the maximum horizontal shear stress in the extrusion. (tуp.) A B d. V Answer: (a) TA= i 627.62 psi TB= 858.5 psi (b) Tc= 646.266 psi (c) Tmax 921.45 psi
The normal and shear stresses acting on one plane passing through a point in a soil mass are 120 psi compression and 25 psi, respectively. On an orthogonal plane, the respective stresses are 40 psi compression and 25 psi. (a) Draw the Mohr’s circle for this stress condition. (b) What are the principal stresses? (c) Determine the angle between the plane on which the 120 psi stress acts and the major principal plane. (d) What is the maximum shear stress acting at the point?
The bolted connection illustrated below comprises one bolt and two plates. The bolt, which has a diameter of 20 mm, is threaded through a 22- mm diameter hole in both plates. The shear stress of the bolt is 78,000 MPa. Based on this information, determine the following What is the largest force F that can be placed on the joint without shearing the bolt? what is the normal stress, at the gross section area, in each plate? what is the normal stress, at the net section area, in each plate? what is the bearing (or contact) stress between the bolt and each plate?
At a point in a stressed body, the cartesian components of stress are sigma xx = 60 MPa, sigma yy= -40 MPa, sigma zz = 20 MPa, tau xy = -40 MPa, tau yz = 20 MPa, and tau zx= 30 MPa. Determine: (a) The normal and shear stresses on a plane whose outer normal has the following direction cosines: cos (n, x) = 0.429 ; cos (n, y) = 0.514; cos (n, z) = 0.743
A rectangular plate with dimensions 200 mm x 300 mm is subjected to a simple shear stress of 60MPa. Determine the magnitude and direction of the shear force required to produce this stress.
4. What are the maximum and minimum stresses for a circular hole in a plate subjected to pure shear? Where are they located? What is the full 3D stress tensor at these positions (in polar coordinates)? Hint: use a stress transformation and superposition. TV о T
Part 1 For the simply supported beam subjected to the loading shown, derive equations for the shear force V and the bending moment M for any location in the beam. (Place the origin at point A.) Let a-2.00 m, b-5.75 m, PA - 70kN, and Pc- 100kN. Construct the shear-force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts of this GO exercise. P₁ Answers: By- Calculate the reaction forces By and Dy acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown on the free-body diagram below. (Note: Since B-0, it has been omitted from the free-body diagram.) y| PA Dy- By i B i B b kN Pc kN D Pc D Dy X
Construct the shear-force diagram and identify the largest negative shear force. Assume a = 5.9 ft, b = 11.8 ft, c = 23.6 ft, w = 1180 %3D Ib/ft, and P = 3400 lb. B C D a b Answer: V min i Ib
The extruded plastic shape will be subjected to an internal shear force of V = 200 lb. Dimensions of the cross section are b = 1.8 in., d = 3.6 in., c = 2.4 in., and t = 0.15 in. Determine:(a) the magnitude of the horizontal shear stress at points A and B.(b) the magnitude of the horizontal shear stress at point C, which is located at a distance of yC = 1.2 in. below the z centroidal axis.(c) the magnitude of the maximum horizontal shear stress in the extrusion.
Answer p1 and Part 2: Determine the shear force acting at each of the following locations:(a) x = 11.0- ft (i.e., just to the left of point B)(b) x = 11.0+ ft (i.e., just to the right of point B)(c) x = 28.5 ftNote that x = 0 at support A. When entering your answers, use the shear-force sign convention detailed in Section 7.2.Answers: a) V = ____ kips b) V = ____ kips c) V = ____ kips Part 3: Determine the bending moment acting at each of the following locations:(a) x = 11.0 ft (i.e., at point B)(b) x = 28.5 ftNote that x = 0 at support A. When entering your answers, use the bending-moment sign convention detailed in Section 7.2. Answers: a) M = ____ kips-ft b) M = ____ kips-ft Part 4: Use your shear-force and bending-moment diagrams to determine the maximum bending moment, Mmax, and its location, xmax. Use the bending-moment sign convention detailed in Section 7.2.Answers: Mmax = ____ kips-ft xmax = ____ ft