Q1: Considering the forces acting on the bar having solid circular cross-section, and an elastic modulus of E=200 GPa ; 50 mm 20 mm 15 kN 20 kN 30 mm 12 kN a) Draw the normal force diagram of the whole bar and obtain the normal stress at each section of the bar A 0.5 m 0.3 m 0.4 m b) Calculate the elongation of point A with respect to point C c) If the factor of safety of the system is foreseen as 1.75, calculate the minimum yield stress of the bar material (-

Q1: Considering the forces acting on the bar having solid circular cross-section, and an elastic modulus of E=200 GPa ; 50 mm 20 mm 15 kN 20 kN 30 mm 12 kN a) Draw the normal force diagram of the whole bar and obtain the normal stress at each section of the bar A 0.5 m 0.3 m 0.4 m b) Calculate the elongation of point A with respect to point C c) If the factor of safety of the system is foreseen as 1.75, calculate the minimum yield stress of the bar material (-

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

See similar textbooks

Similar questions

Question 3 Determine the elongation of the square hollow bar when it is subjected to the axial force P = 100 kN, find the permanent elongation of the bar. The bar is made of a metal alloy having a stress-strain diagram which can be approximated as shown. o (MPa) 500 600 mm P 50 mm 250 5 mm e (mm/mm) 0.00125 0.05 50 mm ´5 mm a. Find the stress (MPa) of the bar. b. Find the permanent elongation (mm) of the bar.
The plate has a thickness of 20 mm and the force P = 3 kN acts along the centerline of this thickness such that d = 150 mm. A) Determine the normal stress at the bottom edge of the plate Enter negative value in the case of compression and positive value in the case of tension. B)Determine the normal stress at the top edge of the plate. Enter negative value in the case of compression and positive value in the case of tension. C)Specify the location of the neutral axis measured from the bottom edge of the plate.
F2 Q1) Axial displacement of point C in the system shown on the left is 0.01 cm. Find the maximum elongation of the bar and the maximum normal stress. A F1 A. GIVEN: F2 = 100 kN, (1 = 240 cm, €2= 160 cm, bi = 5 cm, bz=10 cm, h=5 cm, E=2.107 N/em², a=20 cm Note: neglect stress concentration. h bị b2 A-A section
B3 a) b) The aluminium bar shown in Fig QB3 is subjected to a plane state of stress (ox = 400MPa, σy = -250MPa). The dimensions of the beam before the load is applied are given in Fig QB3 E=70GPa, v = 0.3. Determine the three strain components (x, y, z) and sketch them in a cube diagram; 20mm Determine the new length, width and thickness after the application of the load; c) If the bar is then subjected to a uniform pressure of 20MPa (ox = y = %₂ = -20MPa) determine the change in length of each side. Fig QB3 a=300mm b=50mm
Q1. A crane hook has a triangular section at x-x as shown in Fig. Find the maximum stress at point P. 5 kN 60 0: 40 20 An dimiencions in mm
At point O of a part subjected to plane stress made of steel material (E = 210 GPa and %3D ww v= 0.3) The tensile components are given below. 240 %3D - 30 MPa *yz yz a) The principal stress components (01, 02 and o3) and their angles with respect to the x-y-z axes of the planes where they are formed calculate b) Calculate the maximum shear stress (tmax) and the angles of the plane in which it is formed with respect to the x-y-z axes. c) Drawthe 2-D and 3-D Mohr circles for the stress components. d) At point O in a section plane passing through point O and having an angle of 30° counterclockwise with the +x-axis Calculate the resulting stress components. e) Calculate the strain components (Exx, EW, Ezz, YXV, YXz and Yyz) and draw the 2-D and 3-D Mohr circles for the strain components.
The horizontal member ABC supports a point load of P (KN) and is pin-supported at B and C. The member (link) DB is a structural steel that pin- supported at D with the given dimensions (All the pins will have 5mm diameter). a) If the force P=100 kN find the max shear stress in the pins. b) Find the max force P such that the member BD will remain elastic c) Find the max displacement of point A such #remain elastic
F2 F3 F1 D 150 mm 350 mm
The internal loadings at a section of the beam in (Eigure 1) are shown Figure 20 mm 100 mm 200 mm 20 mm 10 kNm 20 mm 10/12 60 kN 80 KN 500 N-m Determine the in-plane principal stresses at point C. Also compute the maximum in-plane shear stress at this point Express your answers, separated by commas, to three significant figures. VAZ Ivec 4 d Submit Provide Feedback T Wha Bequest Answer ? MPA, MPA, MPA
Q2 A compound bar is constructed from three bars 50 mm wide and 12 mm thick fastened together to form a bar of 50 mm width and 36 mm height. The middle bar is made of Aluminum alloy for which E=70 GPa and the outside bars are made of Brass with E=100 GPa. A) If a Compressive Load of 15 KN is applied to the compound bar, find the stresses in the brass and aluminum. B) Determine the temperature at which the total stress in one bar will be zero, find also the total stress of the other bar.
Q2 Figure Q2 shows a shaft consists of Rods AB, BC and CD which made of Aluminium, Brass and Steel, respectively. Given the modulus of elasticity of materials are Eaiuminium = 69 GPa, Eirass = 100 GPa and Esteel= 250 GPa. Determine, I) The internal forces for each segment (AB, BC and CD) by showing appropriate free-body diagram, FBD. ii) The total strain energy in the whole rod assembly AB, BC and CD. iii) The allowable stress in the rod assembly, and justify the chosen answer
The force applied at the handle of the rigid lever causes lever to rotate 0.04 radians clockwise about the pin connection at B. if each cable is made of steel (E=200Gpa) and has a cross-sectional area of 3x10^-3m^2. Calculate a) The average normal stress in each cable? b) the force applied at E? The horizontal distance between points D and E is 200mm