Q1 For the beam shown in figure below, draw the shearing force and bending moment diagrams showing the main values. Also find whether there are points of zero shearing force and contraflexure. Knowing that AC=CD=DB=BE=2 m. 10 KN 3 kN/m A 10 kNm B E
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- The T-beam shown in the figure has cross-sectional dimensions: b = 210 mm, t = 16 mm, h = 300 mm, and A, = 280 mm. The beam is subjected to a shear force V = 68 kN. Determine the maximum shear stress tntijlin the web of the beam.A cant i levé r b ea m i s supported by a tie rod at B as shown. Both the tie rod and the beam are steel with E = 30 x 106 psi. The tie rod is just taut before the distributed load q = 200 lb/ft is applied. Find the tension force in the tie rod. Draw shear-force and bending-moment diagrams for the beam, labeling all critical ordinates.A hollow steel box beam has the rectangular cross section shown in the figure. Determine the maximum allowable shear force K that may act on the beam if the allowable shear stress is 36 MPa. c
- A wood box beam is constructed of two 260 mm × 50 mm boards and two 260 mm × 25 mm boards (sec figure). The boards are nailed at a longitudinal spacing. b = 100 mm. If each nail has an allowable shear force F = 1200 N. what is the maximum allowable shear force Vmax?The cross section of a bimetallic strip is shown in the figure. Assuming that the moduli of elasticity for metals A and B are EA=168 GPa and EB= 90 GPa, respectively, determine the smaller of the two section moduli for the beam. (Recall that section modulus is equal to bending moment divided by maximum bending stress.) In which material does the maximum stress occur?Determine the fixed-end moments (MAand MB) and fixed-end forces (R4and Rs) for a beam of length L supporting a triangular load of maximum intensity q0(see figure). Then draw the shear-force and bending-moment diagrams, labeling all critical ordinates.
- Two identical, simply supported beams AB and CD are placed so that they cross each other at their midpoints (sec figure). Before the uniform load is applied, the beams just touch each other at the crossing point. Determine the maximum bending moments (mab)max* and (MCD)max beams AB and CD, respectively, due to the uniform load if the intensity of the load is q = 6.4 kN/m and the length of each beam is L = 4 m.Two W 310 × 74 Steel wide-flange beams are bolted together to form a built-up beam as shown in the figure. What is the maximum permissible bolt spacing s if the shear force V = 80 kN and the allowable load in shear on each bolt is F = 13.5 kN. Note: Obtain the dimensions and properties of the W shapes from Table F-l(b).A beam supporting a uniform load of intensity q throughout its length rests on pistons at points A, C and B (sec figure). The cylinders are filled with oil and are connected by a tube so that the oil pressure on each piston is the same. The pistons at A and B have diameter d1and the piston at C has diameter D2. (a) Determine the ratio of d2to d1so that the largest bending moment in the beam is as small as possible. Under these optimum conditions, what is the largest bending moment Mmaxin the beam? What is the difference in elevation between point C and the end supports?
- The horizontal beam ABC of an oil-well pump has the cross section shown in the figure. If the vertical pumping force acting at end C is 9 kips and if the distance from the line of action ofthat force to point B is 16 ft, what is the maximum bending stress in the beam due to the pumping force?A rectangular beam with semicircular notches, as shown in part b of the figure, has dimensions h = 0,88 in. and h1 = 0.80 in. The maximum allowable bending stress in the metal beam is emax = 60 ksi, and the bending moment is M = 600 lb-in. Determine the minimum permissible width bminof the beam.A T- section is the cross section of a loaded beam as shown.Given: U1= 20 kN/m; M1 = 100 kN-m; P1 = 120 kN a.) Draw the shear diagram using graphical solutionb.) Determine maximum shearing stress.b.) Determine the shearing stress at the junction of the T-section.