A uniformly distributed load of 3 Kn/m across the span of a fixed-fixed timber beam with span L=4 m issupported by the beam. A 2 Kn concentrated load, 1 m away from the left support. If the permittedbending and shear loads are 10 Mpa and 2.5 Mpa, respectively, find the cross-sectional dimensions.h=2b is the cross-section of the beam. If possible, kindly provide explanations.Properly display each of the following:The magnitude and direction of each reactive componentsdiagrams of shear and momentsthe beam's cross sectional measurements

Step 1: Step 2: Step 3: Step 4:

Answered: A uniformly distributed load of 3 Kn/m…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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A simply supported rectangular concrete beam has a clear span of 6m. Has a width of 400 mm and has an effective depth of 625 mm. The beam supports a total factored load of 168 kN/m which includes the weight of the beam. Fc'=27.6 Mpa, Fy=414 Mpa. Use normal weight of concrete. a. Determine the location from the face of the support where the 10 mm stirrups theoretically not necessary. Hint: Value of the capacity of concrete to resist shear is necessary for this problem b. Determine the spacing requirement at the critical section.
Calculate the value of the k, factor for the bending stresses for a simply supported uniform timber beam. The beam is 7.5 m long and has a self-weight of 1.8 kN/m. An imposed load of 6 KN acts at mid-span of beam. Wrong answers will be downvoted. Solve carefully
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1. Determine the maximum load P that can be applied to the beam if the bearing plates A and B' have square cross sections of 5cm x 5cm and 20cm x 20cm respectively, and the allowable bearing stress for the material is o = 3 MPa. 20KNI A 20KNI 2 m A 30KNI 2 m 20KNI 2 m B B` 6 m
Solve the following. A 12m simply supported beam is provided with an additional support at its midspan. The beam has a width of 300mm and an overall depth of 450mm. It is reinforced with four 25mm diameter bars at the tension side and two 25 mm diameter bars at the compression side. Concrete covering is 70mm to the centroid of the bars. Concrete strength fc'=30MPa and steel yield strength of 420MPa. i.Determine the depth of rectangular compression stress block, mm. a. 128.99 c. 214.26 b. 107.80 d. 98.36 ii. Determine the nominal moment capacity of the beam in kN-m. a. 505.45 c. 345.33 b. 331.10 d. 367.88 iii. Determine the total factored uniform load including the beam weight that the beam could carry, kN/m. a. 20.438 c. 28.080 b. 25.272 d. 18.394
A rectangular concrete beam has a width of 350 mm and an effective depth of 600 mm. The beam is simply supported over a span of 5 m and need to carry a uniform dead load of 24 kN/m and a unifrom live load of 35 kN/m. Assume f'c = 25 MPa and fy=275 MPa. d'= 60 mm a) Determine the maximum tension steel area for singly reinforced condition in sq. mm. b) Determine the required tension steel area to counteract the load applied in sq. mm. c) Determine the required number of 28 - mm tension bars.
2. The roof truss shown in Figure is pinned at point A, and supported by a roller at point H. Determine the force in member DG and DF.Use method of sections D 55 kN 45 kN MATHalino.com 2.5 m 1.5 m 1.5 m MATHalino.com H. 2 m C 2 m 2 m 2 m 90 kN MATHalino.com
A reinforced concrete beam has a width of 400 mm and an effective depth of 600 mm. It is reinforced at the bottom with As = 4097 mm². The beam has a simple span of 7.3 m and carries a uniformly distributed service load of 43.8 kN/m live load and 23.4 kN/m dead load which includes its own weight fc' = 17.24 MPa, fy = 344.7 MPa. Use U = 1.2D + 1.6L,  = 0.75 1. Which of the following gives the nominal shear strength of concrete considering the effect of moment at the critical section for shear. a. 206 b. 249 c. 235 d. 220 2. Which of the following gives the required spacing of 10 mm Ф stirrups. a. 200 mm b. 180 mm c. 190 mm d. 210 mm 3. Which of the following gives the max. spacing required. a. 251 mm b. 330 mm c. 340 mm d. 300 mm
60 mm 150 mm 60 mm 300 mm 600 III 60 mm 150 m
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The hangers support the joist uniformly, so that it is assumed the 5 nails on each hanger carry an equal portion of the load. The joist, with total length L = 8 meters, is subjected to the trapezoidal loading shown where W1 = 13 kN/m, and W2 = 22 kN/m. Each nail of the hanger at end A and end B has a diameter of 11 cm and 14 cm, respectively. Determine the average shear stress (MPa) in each nail of the hanger at end B. Note: The hangers only support vertical loads.
A reinforced concrete beam had a width of 287 mm and height of 606 mm. It is reinforced with 5 - 25 o bars at the bottom. Use steel cover = 70 mm. fc' = 23 MPa and fy = 275 MPa and fc (allow) = 0.45f'c and %3D %3D fs(allow) = 0.5fy. %3D Determine the maximum steel stress in MPa if the beam is subjected to a maximum moment of 117.82 kN-m.

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