Situation A:In the given figure and values of a Swietenia macrophylla King timber beam, determine the following:B = 100 mm (width)D = 250 mm (depth)Bending and Tension Parallel to Grain = 16.5 MPaModulus of Elasticity in Bending = 4.66 MPaCompression Parallel to Grain = 10.5 MPa5 kN2 kN/m1.0 m |1.0 mCompression Perpendicular to Grain = 3.83 MPaShear Parallel to Grain = 2.71 MPaDraw the shear and moment diagram and determine the location and magnitude of the maximum shear and maximum moment.Determine the value of the maximum actual shear and flexural stresses carried by the beam.Determine the location and magnitude of the maximum deflection using the double integration method.Check whether the structure is safe or not, if the allowed deflection is L/360.

Answered: Image /qna-images/answer/87b8622c-21dc-4491-8f64-6e72bd1b4181.jpg

100 mm (width) 250 mm (depth) ding and Tension Parallel to Grain = 16.5 MPa ulus of Elasticity in Bending = 4.66 MPa npression Parallel to Grain = 10.5 MPa 2 kN/m 5 kN A 1.0 m . 1.0 m pression Perpendicular to Grain = 3.83 MPa m ar Parallel to Grain = 2.71 MPa w the shear and moment diagram and determine the location and magnitude of the maximum shear and maxin ermine the value of the maximum actual shear and flexural stresses carried by the beam. ermine the location and magnitude of the maximum deflection using the double integration method.

100 mm (width) 250 mm (depth) ding and Tension Parallel to Grain = 16.5 MPa ulus of Elasticity in Bending = 4.66 MPa npression Parallel to Grain = 10.5 MPa 2 kN/m 5 kN A 1.0 m . 1.0 m pression Perpendicular to Grain = 3.83 MPa m ar Parallel to Grain = 2.71 MPa w the shear and moment diagram and determine the location and magnitude of the maximum shear and maxin ermine the value of the maximum actual shear and flexural stresses carried by the beam. ermine the location and magnitude of the maximum deflection using the double integration method.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

The floor system of a residential building consists of 125mm thick reinforced concrete slab (unit weight = 23.6 KN/m^3) resting on three 8 m spanned RC floor beams spaced at 1.8 meters on centers. Size of RC beam is 200mm x 450mm. NSCP 2015 Load factors: 1.2DL & 1.6LL. Assume simple supports. Calculate the unfactored slab load in KN/m? Express your answer in 1 decimal place.
If possible, answer in 3 decimal places, thank you. For the wood beam shown in Figure A, assume L=1.5 m and P=8 kN. The beam cross section shown in Figure B has dimensions of b=47 mm and d=232 mm. (a) Determine the maximum horizontal shear stress in the beam. (b) If the allowable shear stress for the wood is 800 kPa, what is the minimum width b that is acceptable for this beam? Calculate the reaction forces By and Dy acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown for the forces By and Dy on the free-body diagram below. (Note: Since Dx=0, it has been omitted from the free-body diagram.) By= kN Dy= kN Determine the shear forces VA⁢B, VB⁢C, and VC⁢D acting in segments AB, BC, and CD, respectively. Note that the shear force is constant in each of these segments. When entering your answers, use the shear force sign convention. VA⁢B= kN VB⁢C= kN VC⁢D= kN…
The floor system of a residential building consists of 125mm thick concrete slab (unit weight = 23.6 KN/m^3) resting on the three 8 m spanned RC floor beams spaced at 1.7 meters on center. Size of RC beam is 200mm x 450mm. NSCP 2015 load Factors: 1.2DL & 1.6LL. Assume simple supports. Calculate the unfactored slab in KN/m? Express your answer in 1 decimal places.
A prestressed concrete beam is simply supported over a span of 11 m. the beam is reinforced with straight tendons situated as shown in the figure under a prestressing force of 682 kN. The beam is carrying a live load of 16.14 kN/m2 and a dead load of 22.09 kN/m2 excluding its own weight, Concrete weighs 20.39 kN/m3 with modulus of elasticity Ec=17,459.32 MPa. Assuming tension concrete does not crack, what is the midspan deflection due to the given loads. (Include the sign if it is negative) Always write your answer in 4 decimal places
2. A timber column, 200 mm x 200 mm in cross section, is reinforced on each side by a steel plate 200 mm and t mm thick. Determine the thickness t so that the column will support an axial load of 1350 kN without exceeding a maximum timber stress of 8.30 MPa or a maximum steel stress of 137.90 MPa. The moduli of elasticity are 10.34 GPa for timber and 200 GPa for steel.
A timber column 6.5 m long and is laterally supported at 3 m from the bottom carries an axial load of 250 kN. If the allowable compressive stress parallel to the grain is 13.7 MPa, Design a column section by selecting the correct answer from the following questions. Use Forest Laboratory Formula. Modulus of Elasticity, E of the wood is 13,800 MPa. Considering the top part of the column for L1/D1 the ratio is equal to A. 12.5 B. 15.5 C. 16.5 D. 17.5 Considering the full length of the column for L2/D2, the ratio is equal to A. 25.35 B. 22.22 C. 27.30 D. 32.5 Comparing the larger L/D to K, the column should be considered a A. short colum B. intermediate column C. long column D. none of the above
To construct a warehouse, the frame system shown in Figure 1 has been adopted. As an engineer, your task is to analyse the mid frame, highlighted in RED. Figure 1 A warehouse frame system The detailed information of the structural components is provided as follows: Slabs 1 and 2 are made of in-situ cast reinforced concrete and have a thickness of 150 mm (Figure 2). For simplicity, we assume that half the weight of each slab is transferred to Beam 1 (as shown in Figure 2). In addition, a water tank full of water with a weight of 1042 kg (1000 L of water plus weight of the tank) will be installed in the middle of Beam 1 (Figure 2). All the beams are made of reinforced concrete and have a standard size of 225 mm × 600 mm. Note that the density of reinforced concrete is 2500 kg/. 1. Estimate the loads applied on the Beam 1, including the load transferred from Slabs 1 and 2 (self-weight of slabs), the self-weight of Beam 1 and the water tank load. Note that the water tank load may be…
A tensile force of 20 kN is applied to a specimen with a gage length of 50mm. It isthen noted that the distance between the gage marks became 50.122mm. a,) What isthe modulus of elasticity of the specimen if its diameter is 10mm? b.) What is the axialstress of the specimen? Solution must have Free Body Diagram/drawing.
Solve the following question according to AS3600-2018. For the reinforced concrete T beam shown in the Figure below, at the ultimate limit state, M*=530 kNm. For this beam f'c = 32 MPa, Ec = 30,100 MPa, and fsy = 500 MPa. a) Calculate the value of Mu for this beam and determine of ΦMu b) Modify the cross-section so that ΦMu increases by approximately 20%. Verify your new design for both strength and ductility.
A cylindrical rod having a diameter of 0.5in is subjected to tension. How much load is required to cause a 10-4in change in the diameter. Take Young’s modulus of rod as 11x106 psi and Poisson’s ratio as 0.33.
A wire 4m long is stretched horizontally between points A and B 4m apart. A load W placed at the center of the wire produces a sag of 53.4mm,a. If the wire is 25mm2in cross-section and the Young’s modulus is 200GPa, what is the magnitude of load W?b. If the load was reduced by 40%, what will be the sag?
A simply supported beam carrying floor joist shown in Figure 8.4 is made of acacia. Determine the most economical size of beam made of Guijo if allowable bending stress is 21.808MPa and density is 6.87kN/m3.