A timber beam AB of length L and rectangular cross section carries a single concentrated load P at its midpoint C. (a) Show that the ratio Om /Tm of the maximum values of the shearing and normal stresses in the beam is equal to h/2L, where h and L are, respectively, the depth and the length of the beam. (b) Determine the depth h and the width b of the beam, knowing that L = 4 m, P = 60 kN, Tm= 960 kPa, and om=12 MPa. L/2- L/2 - B

A 300mm x 500mm rectangular concrete beam is reinforced with four pieces 25mm diameter bars. The beam is simply supported on a span of unknown length. The uniform linear dead load from the slab is 18KN/m (weight of beam not included) and the uniform linear live load is 10kN/m. The effective depth of the beam is 430mm. the beam. Use area of one 25mm diameter bar = 510mm2. Using your own values of fc' = 20.1 MPa and fy = 335 MPa from the excel file, determine the safe length

Problem The following are the dimensions of a concrete T-beam section Width of flange, bf = 600 mm Thickness of flange, tf = 80 mm Width of web, bw = 300 mm Effective depth, d = 500 mm The beam is reinforced with 3-32 mm diameter bars in tension and is carrying a moment of 100 kN.m. Find the total compressive force in the concrete. Use n = 9.

4.14 (B). A reinforced concrete beam of rectangular cross-section, b 200 mm, d (depth to reinforce- ment) = 300 mm, is reinforced in tension only, the steel ratio, i.e. the ratio of reinforcing steel area to concrete area (neglecting cover), being 1% The maximum allowable stresses in concrete and steel are 8 MN/m' and 135 MN/m2 respectively. The modular ratio may be taken as equal to 15. Determine the moment of resistance capable of being developed in the beam. (1.Struct.E.] [20.9 kNm.]

The steel framework shown below is used to support the reinforced concrete slab (unit weight of concrete =23.6KN/m3) that is used for an office use (minimum live load = 2.4KPa). The slab is 150 mm thick. Use a=3m, b=5m. Neglect the self-weight of the beam and girder. Assume all beams and girders have simple supports. NSCP 2015 Load factors: 1.2DL & 1.6LL. Calculate the total ultimate/factored liveload in Kilo Pascals? Express your answer in 2 decimal places

A simply supported wood beam with a span of L = 22 ft supports a uniformly distributed load of w0 = 280 lb/ft. The allowable bending stress of the wood is 1.30 ksi. If the aspect ratio of the solid rectangular wood beam is specified as h/b = 3.00, calculate the minimum width b that can be used for the beam.

A simply supported wood beam of length L = 8 ft carries a concentrated load P at midspan, as shown. The cross- sectional dimensions of the beam are b = 7 in. and h = 13 in. If the allowable shear strength of the wood is 130 psi, determine the maximum load P that may be applied at midspan. Neglect the effects of the beam's self-weight. 12 Answer: P = IM P B 7/2 C X lb N b h

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A reinforced concrete T-beam has the following properties: Flange width, bf = 1,350 mm Width of web, bw = 300 mm Gross depth, h = 500 mm Effective depth, d = 420 mm Concrete strength, f’c = 21 MPa Steel strength, fy = 415 MPa 10. If the beam is reinforced with 3-20-mm-diameter bars at the bottom (in single layer), determine the resulting depth of rectangular stress block at ultimate stage. = mm (2 decimal places) 11. What is the condition of failure? = (Balanced, Tension controlled, Compression controlled, Transition) 12. Calculate the design moment strength of a typical interior beam. = kN⋅m (whole number)