Problem 2 If a vertical shear, V, causes Tmax-75 MPa, what is t at points (a)...
1) For hat shaped cross-section, with centroid C, is acted upon by a vertical shear V = 30 kN. If the centroidal moment of inertia for the cross-section is ī, = 3.92 x 10 mm, determine the (a) shear stress at a and (b) shear stress at the nuetral axis (20 pts) mm רוחו 46 mm 6 mm 60 mm 14 mm 30 mm mm 20 mm 28 mm 20 mm
The internal shear force at a certain section of a steel beam is V = 205 kN. The beam cross section shown in the figure has dimensions of ty = 21 mm, by = 285 mm, d = 410 mm, and is = 14 mm. Determine: (a) the shear stress at point. A, which is located at yA = 75 mm below the centroid of the wide-lange shape. (b) the macimum horizontal shear stress in the wide-flange shape. ЈА by...
2. (15 points) A pressure cylinder with an outer diameter do = 200 mm and wall thickness t = 6 min carries an internal pressure of 4 MPa. Determine the maximum tangential, radial, longitudinal stresses in the cylinder. What is the maximum shear stress? [Ans: ơttinax-64.73 MPa, ơrr, max-一4.00 MPa, dzina.-30.36 MPa, and Tmax-34.37 MPa.
A solid aluminum post is subjected to a vertical force of P = 70 kN and a concentrated torque of T = 3.25 kN-m, acting in the directions shown. The length of the pole is L = 90 mm and the diameter is 60 mm. a) Calculate the normal and shear stresses at point H (in MPa) [Ans. to check: σx = 0 MPa, σy=-24.8 MPa, τxy=76.6 MPa] b) Draw the stress element at point H c) Calculate the normal and shear stresses...
The state of stress at a point is given by [100 60 T 60 -50 0 (MPa) T 0 75 The yield stress in tension is 350 MPa a. Find the value of T for a margin of safety of 0.12 according to the distortion energy theory of failure. b. For the value of τ found in part (a), what is the margin of safety according to the maximum shear stress theory of failure?
The state of stress at a...
(1allow = (ta)allow = 80 MPa 65 MPa 35 mm 2.36x10 mm 75 GPa Shaft properties 60 mm 20.36 x 10 mm 25 GPa 2300 mm 3500 m (kN-m A composite torsion member consists of two solid shafts joined at flange B. Shafts (1) and (2) are attached to rigid supports at A and c, respectively. (MPa) Ital (MPa) Using the allowable shear stresses indicated on the sketch, determine the maximum torque T that may be applied to flange B...
Q.1) The cross-section shown below of a simply supported beam is subjected to a maximum shear force of 20 kN. Determine the corresponding shearing stress at points a and b. Also determine the maximum shear stress in the cross- section and state its location 40 mm 4 mm 60 mm 14 mm 4 mm 20 mm 28 mm 20 mm
Question 4 O out of 12.5 points X Determine the maximum shear stress in MPa) at point B on the cross-section of the beam (w = 78.1 mm) if it is subjected to an internal shear force of 539 KN. Note: Your answer should include requested units and be to 2 decimal places. w w w ? B w Selected Answer: ® [None Given] Correct Answer: 36.57 + 2% (MPa) Question 5 O out of 12.5 points X The bar...
How do you find the total shear force in the web?
Would appreciate if the solution would be shown in steps.
Thanks!
Example 4 A beam of wide-flange shape is subjected to a vertical shear force V=45 KN. The cross-sectional dimensions of the beam are b=165 mm, t=7.5 mm, h=320 mm, and h =290 mm. Determine the maximum shear stress, minimum shear stress, and total shear force in the web. 330 mm 17.4 MPa 200 mm 1 = 75 mm...
Problem 4 [40 marks] A brass cylinder (E = 75 GPa and v = 0.33) of outer radius 150 mm and inner radius 100 mm is to be press-fit over a steel cylinder (E = 200 GPa and v = 0.28) of outer radius 100.02 mm and inner radius 50 mm. a) Find the interface pressure; [20 marks] Draw the radial and hoop stresses in both cylinders generated due to misfit; [20 marks] c) For Masters Students only: Draw radial...