Given
The loading diagram
Taking moment balance about A in the z-direction
Taking force balance in the y-direction
The force balance in the x-direction
Shear force diagram
Maximum shear force is -3.95 kN at section CD
Bending moment diagram
Maximum bending moment is 0.5925 kNm at C
The torque diagram
The maximum torque also at C
At this section
Shear stress
Bending stress(-ve means compressive stress)
Normal stress due to axial force
Normal stress
At point A
The stress element
Tresca shear stress
Von mises stress
At point B
The stress element
Tresca shear stress
Von mises stress
Problem 2: A circular shaft transmits power as shown with pulley loads. The shaft carries a...
Problem 2: A circular shaft transmits power as shown with pulley loads. The shaft carries a torque, bending, shear and axial loads. Draw LVM diagram to find Mmax and Vmax. Show all loads (moments and forces) on the circular x-section of the shaft below. Use double arrows for moments. Compute shear and normal stresses and show them on the same section. Create stress elements for points A and B of the section. Combine the stresses and compute Tmax (Tresca) and...
A circular shaft transmits power as shown with pulley loads. The shaft carries a torque, bending, shear and axial loads. Draw LVM diagram to find Mmax and Vmax. Show all loads (moments and forces) on the circular x-section of the shaft below. Use double arrows for moments. Compute shear and normal stresses and show them on the same section. Create stress elements for points A and B of the section. Combine the stresses and compute tmax (Tresca) and om (von...
Problem 3 (17 points) The two static forces are applied to a circular 1-in diameter shaft as shown. The shaft is made from 1045 CD Steel with a yield strength of 77 ksi. 8 in 1000 lbf 1 in dia. Cross section at the wall 800 lbf (2) a) Identify the location of the most critical stress element. (A. E, F or D?) (10) b) Determine the stresses and draw the stresses on the critical element identified in part a)....
The 6061-T6 aluminum shaft is 1 m long and hollow from A to B with loads applied at the midpoint and end of the shaft. Determine the maximum shear stress in the shaft and the angle of twist at A. The outer diameter is 80 mm and the inner diameter is 60 mm in the hollow section. 3 1 4 kNm Z KN
Problem 1 (35pts) A solid 45.0mm diameter shaft is made out of cold rolled steel with σ,w-1000MPa in both tension and It is simultaneously exposed to force P- 180kN T-9.SKN m and a bending moment M- 1.25kNm. The directions of loads are shown on the figure. On the basis of z M 1) the maximum-shear stress (MMS) theory 2) the maximum distortion energy (MDE) theory is the shaft overstresses in point A at the central top location? Equations section properties:As-d2...
Q3: The structural element in the figure carries the following loads. P= 5 kN, V = 6 kN ve T = 1.5 kN m. If the L = 150 cm. The solid circular element's diameter is 20 mm. For point H; a) Calculate the stress and show them in unit element (10P) b) Calculate the principal stress and maximum shear stresses and their orientations (10 P) c) Show the stresses on Mohr circle (10 P) d) Calculate the minimum yield...
A circular column segment, shown in Figure 2, is subjected to a concentric 1,000 kN compression force, and 100 kNm torsional forces. For this column segment: a Calculate the normal stress at point A, due to the axial load b) Calculate the shear stress at point A, due to the applied torque c Determine the major and minor principal stresses, the maximum shear stress, and the angle to the principal axes at point A. d) Draw a diagram illustrating the...
2. Study the torsion of following shaft (shown below fixed at A, and with geometry and given loads) then: a) draw the diagram of internal torques; b) determine the maximum shear stress if the c/s is hollow circular with r.-10 cm and t 0.5 cm. c) determine the angle of twists фьс, and фс if G- 70 GPa. cross section 30 kN.m 90 kN.m 10 kNm A 2m B 3m C 1m D 40 paints
An overhanging steel beam is used to carry a uniformly distributed load over a 2-metre length as shown. The yield stress of steel is ơyield-350 MPa. Check if the cross section of the beam at section a-a is safe against yielding, (a) using the maximum distortion energy criterion (Von Mises criterion) (b) using the maximum shear stress criterion (Tresca) 15 mm w-12 kN/m 15 mm 120 mm 2000 mm 15 mm 3000 mm 3000 mm 6000 mm 60 mm An...
3. The propeller shaft of the tugboat is subjected to the compressive force and torque shown. The shaft has an inner diameter of 125 mm and an outer diameter of 175 mm. (20 pts) 0410 KN 2 kNm Determine the following at point A located on the outer surface: avg. TMIP, 8s Principal stresses and Op c Draw Mohr's circle d Draw principal stress and maximum in plane shear stress elements