Solution : Е, 200(10°) E 11(10° The width of steel must be increased to an equivalent width for wood: Page 1 -18.182 mm 1 width (A |(10³) m² Failure of wood: Mc 0.5MA 20(10°) = I M = kNm Failure of steet I 130(10) – (18.182 (0.5MA). М- Ans
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- Problem 1: Slab design using the ACI moment coefficients Design the continuous slab shown using the ACI moment coefficients assuming the concrete weighs 24 kN/m3 and that a service live load of 15 kN/m is to be supported. The slabs are built integrally with the end supports, which are spandrel beams. fy= 420 MPa and f'c = 28 MPa. Draw a plan and section showing all reinforcements along the slab. E 7m - 6 m + 7m --The Figure shows a loading set up similar to that of the 'Bending in Beams' laboratory experiment. E = 200 GNm-2 and I = 2 x 10-9 m4. The bending moment and the radius of curvature at any point in the beam between the support points B and Care respectively: 1 kN 1 kN B A l0.125 m 1.25 m O a. (-)12.5 kNm, 2.8 m O b.(-)125 Nm, 3.2 m OC (-)2.5 kNm, 2.4 m O d.(-)125 Nm, 1.2 mE- 27X10N/mm 30 KN/m B. B. 4s KN/m fouN B. R, Rs Plz caleulate the support reaitiom wof structure ond the shear force/ bend ng morment diagram of the upper left beam B,
- If the internal moment function for the shown beam is 20Lx M = 1- B What is the value of W ? Cant be dermined 20x/L 20 20/6 10/L 20/L 20x 10xof on If the I-flange beam is subjected to a shear force V= 20 kN, calculate the transverse shear stress at the point A (considered located on the web part). The area moment of inertia of that section about its neutral axis N.A. is INA = 44.167 x (10) m². Flange Web. Select one: O 10 Mpa O 4.95 MPa O 41 MPa O 100 MPa O50 MPa 20 mm 100 mm A 100 mm 25 mm 150 mm 25 mm Time left 0:46:01 s5. The rigid beam rests on two short posts AC and BD as shown. Post AC is made from steel with E-200 GPa and BD from aluminum with E-70 GPa. The diameters of posts AC and 80 are 25 mm and 40 mm, respectively. Determine the vertical displacement of point on AB 100 KN 400mm D 6. The timber beam has a cross-sectional area of 2000 mm and its modulus of elasticity is 12 GP Axial loads are applied at points B, C, and D as shown. Calculate the total change in length of the beam. Answer: 2.33 mm 40 KN 35 KN 20 KN 3.20 m 1.60m 3.20 m
- . A composite beam, made of aluminum (Al) and magnesium (Mg), has the cross section shown below. The moduli of elasticity for aluminum and magnesium are EAI = 70 GPa and EMg = 45 GPa, respectively. If the allowable flexural stresses (in tension and com- pression) are All 135 MPa for the aluminum and Mg 120 MPa for the magnesium, determine the maximum allowable bending moment for the beam. all - 0.2 m 0.2 m Al 0.2 m Mg CDetermine the magnitude of the moment Mc for the cantilever beam, where P = 37 kips, w = 7 kips/ft, L1 = 3 ft, and L2 = 10 ft. B L1 L2 O 155.3 kip-ft O 164.9 kip-ft O 143.2 kip-ft O 131.0 kip-ft O 182.9 kip-ftDraw the Shear force diagram & Bending moment diagram for the cantilever beam as shown in figure, mark the salient points in the diagram. Neglect the self-weight of the beam, where F1 =30 N, F2=60N, F3 =60 N, F4 =80N, a =3 m, b=1 m, c=5 m, d=4 m The reaction at the fixed support "A" (unit in N)=_____________ Answer for part 1 (ii) Shear force at the point "A" (Unit in N) = ________ Answer for part 2 (iii) Shear force at the point "B" (Unit in N) = ________ Answer for part 3 (iv) Shear force at the point "C" (Unit in N) = ________ Answer for part 4 (v) Shear force at the point "D" (Unit in N) = ________ Answer for part 5 (vi) Shear force at the point "E" (Unit in N) = ________ Answer for part 6 (vii) Bending moment at the point "E"(unit in Nm) = ________________ Answer for part 7 (viii) Bending moment at the point "D"(unit in Nm) = ________________ Answer for part 8 (ix) Bending moment at the point "C"(unit in Nm) = ________________ Answer for part 9 (x) Bending moment…
- Determine the magnitude of the moment Mc for the cantilever beam, where P = 14 kips and M = 65 kip-ft. M 3.5 ft 6.5 ft O 94 kips O 75 kips 48 kips 81 kips 63 kipsQUESTION 3 If the allowable bending stresses for a beam in one application is 6 kip/in2 in tension. The cross-section of the beam is W8 x 40. If the beam is 10 foot long and simply supported and has a concentrated load applied at x = 3 ft as shown below. • Generate the shear force and bending moment diagram in terms of P; • Based on the allowable maximum bending moment you just obtained above, calculate/ input the mazimm allowable value of the load P: please, pay attention to units, and calculate your answer to 1 decimal place.. 3 ft 7 ft kip.Determine the support reactions for the beam on the left if w=250N/m and L=6m don’t short cut steps