Question 3 (continued) Determine by suitable calculations: a) the torsion constant (K) of the cro...
3 please show all work 3) The machine casting and casting cross-section shown are subject to a shear force V 5000 lbs. Determine the shear flow (q) and the shear stress (t) at the interface between the top flange (4"x0.5") and the web (0.5"x1.5"). The neutral axis is 1.477 inches from the bottom and the centroidal moment of inertia 0.7278 in4 4 in. 2 in. 0.3 in. 0.5 in. 4.) For the cantilever beam loading shown in the figure for...
OUESTION 2 The solid cylindrical member in Figure 3 is under a point load of P at point C. If the beam has a radius ofr 50 mm, length L = 4 m, and load P 5 kN and E= 200 GPa (a) Draw the free body, shear force, bending moment and torque diagrams for both sections of the member (4 Marks) (b) What is the maximum bending stress induced in the member? (3 Marks) (c) What is the maximum...
A cantilever beam of a channel section is loaded at its half-length, as shown in Figure Q2. The Young's modulus of the material is 200 GPa. Determine the deflection at the free end. [12.5 marks] 25 mm 25 mm 5 kN a -a 少a 6 mm 200 mm Figure Q2 A cantilever beam of a channel section is loaded at its half-length, as shown in Figure Q2. The Young's modulus of the material is 200 GPa. Determine the deflection at...
Question 3 For the simply supported steel beam with cross section and loading shown (see Figure 3a), knowing that uniformly distributed load w=60 kN/m, Young modulus E = 200 GPa, and yield stress Cyield=200 MPa (in both tension and compression). ул 15 mm w=60 kN/m ... 1 B A 15 mm + 300 mm IC - i 2.5m 1 1 15 mm 7.5m 1 150 mm Figure 3a (a) Check if: the beam is safe with respect to yielding (using...
Select a suitable wide flange section to support the beam loads shown in the figure below. Use ASTM A992 steel and allowable stresses of 0.66 Sy for bending and 0.40 Sy for shear. Be sure to generate a list of candidate beams from which, you will choose the lightest. Determine the factor of safety in bending for the beam you select. Find the deflection at the end of the overhang using the beam you selected. What is the total weight...
Question 1 [50 Marks] The cantilever, shown, has a steel core bonded to a wood casing. If a concentrated load 25 kN is applied at its end, determine the maximum bending stress in the cantilever. Ew = 12 GPa, Es = 200 GPa. 25 kN 3.00 m 200 mm 200 mm 500 mm Steel Wood 500 mm Cross-section of the cantilever
Figure Q3 shows a simply supported beam carrying a point load. The beam hasa rectangular hollow steel section as shown in Figure Q3. a. Calculate the second moment of area of the section about the horizontal (10 marks) centroidal axis. Calculate the maximum allowable value of the point load Wif the elastic bending (15 marks) b. stress in the beam is to be limited to 250 MPa. c. Calculate the maximum shear stress at q-q in the beam when the...
8. The cantilever beam in Figure Q8 subjects to concentrated loading. The cross section geometry gives the second moment of area / 100 x 10 m. The longitudinal geometry of the beam: a 2 m, b 1 m. The material of the beam: Young's modulus E 200 GPa. The loading: concentrated force P 10 KN. (a) Determine the reactions to the beam at the fixed end. (b) Determine the rotation angle at point x-a (c) (Determine the deflection at the...
P12.010 (Multistep) Concentrated loads of Pr = 2600 N, Pv-2400 N, and P. = 2000 N are applied to the cantilever beam in the locations and directions shown in Figure A. The beam cross section shown in Figure B has dimensions of b-90 mm and d = 35 mm using a value of a 79 mm, determine the normal and shear stresses at a) point Hand (b) point K. Show these stresses on a stress element. ho FIGURE A FIGURE...
Part 1 A cantilever flexural member is fabricated by bolting two identical cold-rolled steel channels back-to-back, as shown. The cantilever beam has a span of L = 1300 mm and supports a concentrated load of P = 500 N. The cross-sectional dimensions of the built-up shape are shown, where d = 40 mm, w = 65 mm, and t = 3 mm. The effect of the rounded corners can be neglected in determining the section properties for the built-up shape....