Figure 3 below shows a cross-section of a beam consisting of rectangular sections welded together and triangular gussets for added strength. Calculate the position of the centroid C from the top for the built up section.

Q: A chord in a bridge truss is composed of the elements shown in the figure. Refer to the table for…

A: Given data as per question Total width of the section =18'' Total height of section =16''…

Q: three plates are welded together to form the curved beam shown in the figure for M = 8kip * m.…

A: Locate the centroid of cross section

Q: Determine the centroid ?̅ of the T-beam shown in Figure Q3

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Q: 75 mm 15 mm

A: given:

Q: Find Eld at point B for the beam shown below.

A: GivenW=20N/mlength of the beam L=4mR1 and R2  are the reactions at  the supports

Q: Calculate the stress at point B of the cantilever beam shown in Fig. 9.22.

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Q: Three plates are welded together to form the curved beam shown in the figure for M = 8 kip * in.…

A: We locate the centroid of the cross section     (1) 4.875 (2)…

Q: Q)An unsymmetrical I section has top flange of 120mm X 30mm, web of 100mm X 20mm and bottom flange…

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Q: A. The dimensions of the inverted T-section of a cast-iron beam are shown in figure (A). How far is…

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Q: Determine the location of the centroid for the cross-section shown below and draw a scaled sketch of…

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Q: A composite steel beam of strength, ơ, has a cross-section comprised of a semi-circle of radius, R,…

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Q: 7. Calculate the support reactions at A and B for the beam subjected to the two linearly varying…

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Q: Find the centre of gravity of a T-section with flange 150 mm x 10 mm and web also [Ans. 115 mm for…

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Q: Given the beam problem shown in Fig 1.1

A: a) Free body diagram of known and unknown forces:

Q: 3.1 Determine the location of the centroid for the cross-section shown below and draw a scaled…

A: according to the given details in the question. (a) we need to calculate the centroid of the…

Q: Find the centre of gravity of an inverted T-section with flange 60 mm x 10 mm and web [Ans. 18.6 mm…

A: To find the centroid from the x-axis  x¯=x1A1+x2A2A1+A2x¯=30(600)+30(500)60(10)+10(50)x¯=30mm

Q: Find the centre of gravity of an T-section with top flange 100 mm x 20 mm, web 200 mm x 30 mm and…

A: Let the origin of the I- section be at the middle of lower flange, which is at the intersection of X…

Q: Find the y centroid of beam's cross sectional area. Disregard the dimension between bolts. Give your…

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Q: Figure 1 shows a 4 m length of a simply supported beam with a pinned support at and roller support…

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Q: 6.25 Compute the midspan value of EIð for the simply supported beam carrying a uniformly distributed…

A: Given:

Q: A beam is loaded as shown in the figure. What is the location of the concentrated load from point B?

A: Consider the diagram of the beam as shown below. Here W1 is the triangular load and the W2 is the…

Q: If YY is the centroidal axis of a T-beam section, subjected to plastic moment, Mp, the neutral axis…

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Q: Figur below shows a cross-section of a beam consisting of rectangular sections welded together and…

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Q: 3. A channel section 300 mm x 10 mm is 20 mm thick. Find the centre of gravity of the [Ans. 27.4 mm]…

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Q: construct the free-body diagram of overhanging beam

A: Forces acting on the beam.

Q: 3.1)Determine the location of the centroid for the cross section shown in Figure 3 and draw a scaled…

A: Answer: (a) The location of centroid from bottom left-most point is (43.57 , 105) mm. (b) Second…

Q: A cantilever beam shown carries a concentrated load of 20 kN at point C. Assume constant value of E.…

A: Draw the free body diagram of the beam and find the reactions. The reaction force at A will be…

Q: find Centre of gravity of an inverted I section with fiange Gomm x 10 mm and web Somm x 1o mm

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: For the composite beam section in Figure Q2b, calculate the second moment of area (Ixx) about its…

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Q: Activity 2. The dimensions of the T-section of a cast-iron beam are shown in the figure. How far is…

A: To find out the centroid  Area(1)= 200(60)=12000 Area(2)=250(40)=10000 Y(1)=30mm Y(2)=125+60=185mm

Q: For the simply supported beam shown in Fig. 2.compute the maximum shear stress and draw the shear…

A: The loading diagram is where, RA and RD are the vertical reactions at A and D

Q: Figure Q2a shows an asymmetric cross-section of solid beam, calculate the centroid for the beam…

A: Consider sections 1,2 and 3

Q: For the following beams compute the vertical and horizontal reactions.

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Q: Q2: For the beam shown below in (fig 2), calculate the location of the centroidal axis ?', for the…

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Q: Determine the location of the centroid for the cross section shown below and draw a scaled sketch of…

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Q: Q.3 (a) Draw free body diagram (FBD) and, (b) Calculate the support reactions in the cantilever beam…

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Q: (a) Draw free body diagram (FBD) and, (b) Calculate the support reactions in the cantilever beam ABC…

A: For solution refer below images.

Q: Calculate the second moments of areas about the centroidal axes for the beam cross- section.

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Q: en, draw SFD and BMD using semi graphical method.

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Q: A simply supported beam is loaded as shown. Use E = 200,000MPa and I=150 x 106 mm4. Compute for the…

A: Given:  E = 200,000MPa and I=150 x 106 mm4. The beam is shown below:

Q: Find the centre of gravity of a T-section with flange 150 mm × 10 mm and web also 150 mm × 10 mm.

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Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.