P D le E Loading status in figure q = 4 kN/m, P = 48 kN in the bar dimensions L= 2 m and e= 0.5 m. The cross-sectional effects at point E will be calculated. A is fixed, B is sliding joint bearing. Accordinoly the normal force at noint E N=?
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- The T section is shown in Figure below is the cross-section of a beam. The beam is subjected to a uniform distributed load = 4 kN/m. The N.A is located at 34.7 mm from the bottom and that IxA =10.64x106 mm. Determine (a) the maximum shearing suess (b) the shearing stress at 15 mm from the bottom face. Q2 %3D 20mm 4 kN/m 120mm A 34.7 mm 20mm lm 3m 1m 220mm TTThe T-shaped beam shown above is supporting a concentrated load P at its free end. The beam has an allowable bending stress of ?????? = 250 MPa and an allowable shear stress of ?????? = 100 MPa. a) Determine the distance to the neutral axis (?̅), second moment of area (?), and the section modulus (?) of the cross-section.b) Draw the shear force diagram (SFD) and bending moment diagram (BMD) of the beam. On your diagrams, express the values of shear and moment in terms of the applied load P.c) Determine the maximum value of P such that bending failure will not occur.d) Determine the maximum value of P such that shear failure will not occur.e) Based on your answers to (c) and (d), what is the maximum load P that can be applied to the beam? Is this beam bending or shear governed?A horizontal beam is supported by an inclined strut and carries a load of 15 kN at joint AD CBD in the figure. The strut, which consists of two bars each of thickness 40 mm, is connected tothe beam by a rivet passing through the three bars meeting at joint. The allowable shear Cstress and bearing stress are all, z =60 MPa and =120 MPa, respectively.a) Determine the required diameter of the rivet at the hinge that carries safely by the given Csystem.b) If the diameter rivet used on the support is 20 mm check whether this rivet diameter is Asufficient for the given system.
- Solve for the following for the built-up I-section shown. zuntál) ax **e y (vertical) axis Strong and and which m weak a 41. 41. 41. 18 in. nanes If a moment, M=10 ft-kips, is applied to the cross-section about its strong axis, what is the maximum stress in the cross-section, and where would that stress occur? Utilize the values that you determined in Part (e). (h) If a moment, M=5 ft-kips, is applied to the cross-section about its weak axis, what is the maximum stress in the cross-section, and where would that stress occur? Utilize the values that you determined in part (e). (1) If the cross-section is made of Gr. A36 steel, would these moments produce linear or non-linear behavior in the cross-section? Why? 1 in. Wedk 10 in. weak axis 6 in. 2 in. T 2 in. K TThe overhanging beam ABC in Figure supports a concentrated load and a uniformly distributed load. The beam has a rectangle cross-sectional area of 120 mm × 180 mm (base x height). Neglect the weight of the beam. a) Construct the shear-force and bending-moment diagram. b) Determine the maximum normal stress in the beam and its location measured from point A. Ans : omax 173.92 MPa 20 kN 12 kN/m A B 4 m 10 m 20! Required information For the beam and loading shown, consider section n-n. It is given that P= 226 kN. P 50 mm 50 mm 150 mm n A B 50 mm 0.75 m 1.2 m 0.75 m 75 mm 75 mm 75 mm Determine the shearing stress at point b. The shearing stress at point bis MPа.
- 3. The simply supported beam of rectangular cross section carries a distributed load of intensity w, = 3 kN/m and a concentrated force P. Determine the largest allowable value of P if the bending stress is not to exceed 10 MPa. P Wo 120 mm A 400 mm B| 4 m -1.0 m-F y a What is the biggest Bending Stress? Beam is loaded the biggest bending moment is MB. Мв 3D 10 kNm a = 65 mm b = 90 mm %3DThe pole is supported by a pin at B and A-36 steel guy wire AC. If the wire has a diameter of 0.2. Modulus of Elasticity of Steel = 200GPA or 29x103 ksi Poisson's ratio of steel=0.321 3 ft 30 D 2.5 kip 4 ft B 1. At what angle is the principal stresses on pole BC? Use Mohr's Circle. 2. What is the principal stress in pol BC? Use Mohr's Circle 3. Draw the stresses on a unit element acting on 35-degree clockwise direction of pole BC. Use Mohr's Circle. 4. What are the principal stresses in point D? Use Mohr's Circle. (answer in ksi) 5. At what angle is the principal stresses acting on point D? Use Mohr 's Circle. 6. Draw the stresses on a unit element acting on 35degree-clockwise direction of point D. Use Mohr's Circle. (answer in ksi)
- 1 Question 3: 2 The 60 mm diameter solid shaft is subjected to the distributed and concentrated torsional loadings 3 shown. Determine the absolute maximum and minimun shear stresses on the outer surface of the 4 shaft and specify their locations, measured from the fixed end A. Take: AA = 1.55 BB = 0.85 8. CC = 1205 kN / m 2 kN-m/m 9 10 11 AA m CC Nm 12 B. 13 вB m 14 15 16 Solution: 17 18 Te CC N.m 19 20 TAB 21 22 CC Nm Zooox N.m 23 24 25 26 CC N.m 27 28 The internal torque for segment BC is Constant T = cc NmHowever, 29 the internal for segment AB varies with x, 30 T- 2000 x+ AA = 0; T = (2000 x-cC) Nm 31 The minimum shear stress occurs when the internal torque is zero in segment AB. 32 By setting T = 0 33 0 = (2000 x -C; Ans 34 35 And 36 d = AA - x = Ans 37 Ans 38 39 The maximum shear stress occurs when the internal torque is the greatest. This 40 occurs at fixed support A where 41 d = Ans m 42 At this location, 43 (T . = 2000 AA-cc = 44 45 The polar moment of inertia of the rod is…1. If the T-beam is subjected to a vertical shear of V = 12kip, determine the maximum shear stressin the beam. Also, compute the shear-stress jump at the flange-web junction AB. Sketch thevariation of the shear-stress intensity over the entire cross-section.PROBLEM 2. The rigid bars shown are separated by a roller at C and pinned at A and D. A steel rod at at B helps support the load P. Determine the vertical movement of the steel rod Given: TTTTTT 3m B Steel L=5m A = 300 mm² E = 200 GPa 2m 1.5 m Sc с P =92 KN 2 m final position