The state of stress at a point in a structural member may be represented by a two-dimensional stress system in which o, = 100 N/mm², 6, = -80 N/mm² and r,y = 45 N/mm?. Determine the direct stress on a plane inclined at 60° to the positive direction of a, and also the principal stresses. Calculate also the inclination of the principal planes to the plane on which o, acts. Verify your answers by a graphical method. Ans. 6, = 16 N/mm², o1 = 110.6 N/mm², on=-90.6 N/mm², 0 = – 13.3° and –103.3°.
The state of stress at a point in a structural member may be represented by a two-dimensional stress system in which o, = 100 N/mm², 6, = -80 N/mm² and r,y = 45 N/mm?. Determine the direct stress on a plane inclined at 60° to the positive direction of a, and also the principal stresses. Calculate also the inclination of the principal planes to the plane on which o, acts. Verify your answers by a graphical method. Ans. 6, = 16 N/mm², o1 = 110.6 N/mm², on=-90.6 N/mm², 0 = – 13.3° and –103.3°.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![The state of stress at a point in a structural member may be represented by a two-dimensional stress
system in which o, =100 N/mm², o,=-80 N/mm² and 7,, =45 N/mm². Determine the direct
stress on a plane inclined at 60° to the positive direction of o, and also the principal stresses.
Calculate also the inclination of the principal planes to the plane on which o, acts. Verify your
answcrs by a graphical method.
Ans. 6,= 16 N/mm², o1 =110.6 N/mm², ơn=-90.6 N/mm², 0= –13.3° and –103.3°.
!!](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2efb8ce4-ca82-4ba7-a220-c4b4d09efaa1%2F70fafc8e-dac4-48f9-bc69-9515d071011e%2F89i6fs_processed.png&w=3840&q=75)
Transcribed Image Text:The state of stress at a point in a structural member may be represented by a two-dimensional stress
system in which o, =100 N/mm², o,=-80 N/mm² and 7,, =45 N/mm². Determine the direct
stress on a plane inclined at 60° to the positive direction of o, and also the principal stresses.
Calculate also the inclination of the principal planes to the plane on which o, acts. Verify your
answcrs by a graphical method.
Ans. 6,= 16 N/mm², o1 =110.6 N/mm², ơn=-90.6 N/mm², 0= –13.3° and –103.3°.
!!
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