The rod has a diameter of 40 mm. It is subjected to the force system Fx=1100 N, Fy=500 N, Fz=900 N. A) Determine the normal stress that acts at point A. B) Determine the shear stress (τA)xy that acts at point A. C)Determine the shear stress (τA)xz that acts at point A.

F₁ = 250 N 45% 60¹¹ 60 Mad 45 40° 120 F₁ = 800 N 60° F2=100N y An anchor is subjected to the stresses shown determine the magnitude and coordinate angles of direction of the resulting force a F= B=

Solve the problem using the stress transformation equations. Suppose that σx= 92 MPa, σy= 46 MPa, τxy= 36 MPa in the directions shown. A) Determine the normal stress component acting on the plane AB. B) Determine the shear stress component acting on the plane AB.

The beam is supported by a pin at B and a short link AC. All pins are in double shear as shown in and each has a diameter of 40 mm assume P1=98 kN and P2= 49 kN. A) Determine the average shear stress developed in the pin at A B) Determine the average shear stress developed in the pin at B C) Determine the average shear stress developed in the pin at C

Q5) A material is subjected to two mutually perpendicular linear strains together with a shear strain. Given that this system produces principal strains of 1x 104 compressive and 3x 104 tensile and that one of the linear strains is 2.5x 104 tensile, determine the magnitudes of the other linear strain and the shear strain by using Mohr's strain circle. Also, find the values of the principal stresses present in the material by using Mohr's stress circle. For the material, take E=208GN/m² and v=0.3

A) A circular rod with a gage length of 3.6 mm and a diameter of 2.3 cm is subjected to an axial load of 51 kN . If the modulus of elasticity is 200 GPa , what is the change in length? B)A circular rod with a length of 4 mm and a diameter of 2.4 cm is subjected to an axial load of 61 kN . If the resulting change in length is 3.34 mm , what is the modulus of elasticity? C)A circular rod with a length of 3.7 mm and a diameter of 2.7 cm is subjected to an axial load and increases in length by 3.26 mm . The initial portion of the stress-strain curve of the material is given. What is the applied load?

- The below figure shows a simple model of the loading on the lower jaw (mandible) a) Determine the shear force diagram and the moment diagram using sectioning method b) Determine the shear force diagram and the moment diagram using the graphical method c) If the jaw can be assumed as a uniform rectangle 3cm×1cm, determine the maximum normal stress due to bending in the lower jaw 60N 50N 10N 2cm 10cm 1cm Muscle force Fulcrum Load 3cm 12cm (Answers: c) Omax ~ 0.667MPA)

MENG222 STRENGTH OF MATERIALS P=1000

The state of stress shown to the left was produced by a combination of loadings on a body that is not shown. Determine the following via Mohr's circle: A) Draw Mohr's Circle for the x-y plane. B) Determine the principal stresses - All 3. C) Sketch a properly oriented differential element showing the principal stresses in the x-y plane. D) Determine the magnitude of the maximum shear stress in the x-y plane. E) Sketch a properly oriented differential element showing the maximum shear stress state in the x-y plane. F) Determine the magnitude of the absolute maximum shear stress (and include the two out of plane circles on your original figure). Use the following values for the magnitudes of the stresses: x = 0₂ Txy Ox X X 10 ksi, σy = 4 ksi, σ₂ = 3 ksi, Txy = 4 ksi

The state of stress at a point in a member is shown on the element. Suppose that σx= 25 MPa, σy= 100 MPa, and τxy= 53 MPa. A) Determine the normal stress acting on the plane AB. B) Determine the shear stress acting on the plane AB.