For the two-bar planar truss shown in Figure Q1 below, determine the displacements of node 1 and the stress in elements 1-3. 2 E = 200 000 MPa A = 300 mm² -500 mm- for both members 300 mm Figure Q1 20 kN 1 400 mm 3

For the two-bar planar truss shown in Figure Q1 below, determine the displacements of node 1 and the stress in elements 1-3. 2 E = 200 000 MPa A = 300 mm² -500 mm- for both members 300 mm Figure Q1 20 kN 1 400 mm 3

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter5: Stresses In Beams (basic Topics)

Section: Chapter Questions

Problem 5.12.3P: While drilling a hole with a brace and bit, you exert a downward force P = 25 lb on the handle of...

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Concept explainers

Combined Loading

Any functioning component, such as machine parts, structural members, pressure vessels, and so on, are all under the influence of more than one force. When anybody is under the influence of more than one force such as shear forces, bending moments, axial forces, torsion, and so on, then such body is said to be under combined loading. A very practical example of combined loading is the crankshaft of an internal combustion engine (IC engine). The crankshaft of the IC engine is under high rpm, which is caused due to the torsional forces. Due to the presence of piston, counterbalances, and internal imbalances, the crankshaft experiences lateral forces and due to the rise in temperature, the crankshaft undergoes thermal expansion, which pulls the crankshaft along the axial direction and lateral direction. The presence of unbalanced loads along the periphery of the crankshaft also induces a bending moment.

Question

For the two-bar planar truss shown in Figure Q1 below, determine the displacements of node
1 and the stress in elements 1-3.
2
E = 200 000 MPa
A = 300 mm²
-500 mm-
for both
members
300 mm
Figure Q1
20 KN
1
400 mm
3

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Step 1: Evaluate stiffness matrices for elements.

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Step 2: Evaluate global stiffness matrix.

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Step 3: Evaluate force matrix and displacement matrix.

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Step 4: Apply equilibrium condition.

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Step 5: Evaluate stress in element connecting nodes 1-3

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