A beam fabricated from western white pine has been reinforced by bonding steel strips on its top and bottom surfaces as shown. If the design is limited to wood = 1.5 ksi in the wood and steel = 35.6 ksi in the steel, determine the maximum bending moment if the beam bends about its vertical axis of symmetry. STEEL ←L3 BERDEE

Determine the reactions at supports and then draw the shear force and bending moment diagrams for the beam shown below and determine the size of the beam if it has a rectangular cross section where the height is 3 times the width. Allowable bending stress is 80 MPa. 8 kN 3000 15 kNm 3 kN/m 2000 Width Height (3 x width) Section through beam

A beam is simply supported on a span of 10 m. The beam supports a load of 15 kN/m on its entire length and three 30 kN loads at its quarter points. If the maximum bending stress is equal to 250 MPa, determine the most economical W-shaped beam. OW 530 x 72 O W 510 x 70 O W630 x 65 O W440 x 83

A simply supported beam of hollow rectangular cross section is 100mm deep and 60mm wide with a wall thickness of 10mm. The beam has a span of 6m and carries a load as shown . Neglecting the weight of the beam draw a bending moment diagram and calculate the maximum bending moment. And determine the maximum bending stress in the material.

41. The wide-flange I beam as shown is 20 ft. long. It is fixed at one end and free at the other. A twisting moment of 30,000 lb-in. is applied at the free end. If E=30×10° psi and G =12x10° psi, compute the maximum normal and shearing stresses due to bending and the maximum shearing stress due to twist. What is the angle of twist of the beam at the free end? 10.5" 1.368" 0.845" 10" prob 41

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the 1m beam shown is subjected to 6 kN. if the beams has a rectangular cross section as shown where b = 0.2 m h = 0.5 m the maximum bending stress on the beam at section a-a when d = 0.3 m is kPa a

Q4 A solid rectangular homogeneous section (total length = 7.2m) is simply supported, where b = 50 mm and d = 175 mm. A concentrated load F= 140 N acts at point C where L1= 4.00 m L2 = 3.20 m. Calculate the maximum bending stress and give your answer in N/mm² to 2 decimal %3D places. *Assume the weight of the beam is negligible and zero. F 200. L1 L2 b d A F B

For the beam shown, calculate the magnitude of the bending stress (in psi) at a point 0.65 in from the top of the beam on section 1.1 feet to the right of B if P = 1120 lb, Q = 4268 lb, w = 1.14 in, L = 8.02 in, b = 3.98 in, and h = 1.27 in. Round off the final answer to two decimal places. P Q W D E L 2 ft |、▬▬3 ft ▬▬▬3 ft▬| 2 ft F | b h

A simply supported wood beam with a span of L = 11 ft supports a uniformly distributed load of w = 840 lb/ft. The allowable bending stress of the wood is 1400 psi. If the aspect ratio of the solid rectangular wood beam is specified as h/b = 1.5, determine the minimum width b that can be used for the beam. O 5.54 in. O 7.03 in. O 6.62 in. O 8.58 in. O 4.15 in. L h