4. The tensile stresses at a point across two mutually perpendicular planes are 120 N/mm² and...
Q.4 (25 marks) A material is subjected to two mutually perpendicular direct stresses of 300 MPa tensile and 200 MPa compressive, together with a shear stress of 50 MPa, as shown in the figure below. Use the Mohr's circle to determine: A. The principal stresses and their corresponding principal planes, B. The maximum shear stress and the planes of maximum shear stress, also C. Show the principal stresses calculated above on a sketch of the element D. Determine the state...
1. 4. A material is subjected to two mutually perpendicular strains 350 x10-6 units and - 50 x 10-6 units together with an unknown sheer strain, if the principal strain in the material is 420 x 10 units. If E - 200 GN/m? - 0.3, determine the following. a. a) Magnitude of the shear strain b. b) The other principal strain C. c) The direction of principal strains axes d. d) The magnitude of the principal stresses 1. 5. For...
a A horizontal bracket ABC consists of two perpendicular arms AB and BC as shown in the figure. Amm AB has a solid circular cross section with diameter equal to 60 mm. At point C a load P = 2.02 EN acts vertically and a load Pa = 3.07 kN acts horizontally and parallel to am AB. For point p, (a) sketch the stress element, (3 marks) 6) calculate the principal planes and the principal stresses and sketch the orientation...
8.42A 13-kN force is applied as shown to the 60-mm-diameter cast-iron post ABD. At point H, determine (a) the principal stresses and principal planes, (b) the maximum shearing stress 13 kN 300 mm 100 mm 125 mm 150 mm Fig. P8.42 8.42A 13-kN force is applied as shown to the 60-mm-diameter cast-iron post ABD. At point H, determine (a) the principal stresses and principal planes, (b) the maximum shearing stress 13 kN 300 mm 100 mm 125 mm 150 mm...
Problem #4: The frame supports the triangular distributed load shown Use Mohr's circle to determine the normal and shear stresses at point E that act perpendicular and parallel, respectively, to the grains. The grains at this point make an angle of 45° with the horizontal as shown. Point C is the pin support. 900 N/m 35 75 mmi 200 mm 2.4 m 0.6 m 100 mm 3 m 45° 50 mm 30 mm 1.5 m 100 mm Problem #4: The...
D Question 3 60 mi 24 mm 15 m 1s0 me Pl 32 16 mm 30 mm P2 applied to the bar shown with P1 - 750 N, P2 - 500 N and P3 - 10N. Determine the normal and shearing Three forces are stresses at (a) point a, (b) point b, (c) point c. (I am expecting 6 answers to this question, two for point a, two for point b, and two for point c. Please make your answer...
(a) A cube of concrete 100 mm on each edge is compressed in two perpendicular directions by forces P = 67 kN. Determine the change AV in the volume of the cube and the total strain energy U stored in the cube assuming E = 26 GPa and V = 0.1. (b) For the given state of stress shown (Fig. Q1b), determine: (i) The principal stresses. (ii) The corresponding principal planes. 48 MPa 16 MPa 60 MPa Fig. 21(b) Page...
(a) A cube of concrete 100 mm on each edge is compressed in two perpendicular directions by forces P = 67 kN. Determine the change AV in the volume of the cube and the total strain energy U stored in the cube assuming E = 26 GPa and V = 0.1. (b) For the given state of stress shown (Fig. Q1b), determine: (i) The principal stresses. (ii) The corresponding principal planes. 48 MPa 16 MPa 60 MPa Fig. 21(b) Page...
Question 3 (1) Figure Q3(a) shows the stresses at a point in a structure. Using the Mohr's circle, determine the maximum in-plane shear stress of the point and shown it on a sketch of a properly oriented stress element. 12 marks) 50 MPa 30 MPa 30 MPa Figure Q3(a) (2) The 50-mm-diameter solid shaft shown in Figure Q3(b) is fixed at B and subject to the couple forces at the top through a rigid wrench. Determine the maximum shear stres...
For the following 10 questions, indicate if the statement is true or false by circling T or F. Provide any explanation and assumptions if needed. (1) T or F: No shear stress can occur on the planes carrying max and min normal stress. 2) T or F: If a material element is in plane stress, two normal stress components are always equal to each other if this is the plane of maximum shear stress. (3) T or F: No normal...